sched/fair: Introduce SIS_UTIL to search idle CPU based on sum of util_avg

[Problem Statement]
select_idle_cpu() might spend too much time searching for an idle CPU,
when the system is overloaded.

The following histogram is the time spent in select_idle_cpu(),
when running 224 instances of netperf on a system with 112 CPUs
per LLC domain:

@usecs:
[0]                  533 |                                                    |
[1]                 5495 |                                                    |
[2, 4)             12008 |                                                    |
[4, 8)            239252 |                                                    |
[8, 16)          4041924 |@@@@@@@@@@@@@@                                      |
[16, 32)        12357398 |@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@         |
[32, 64)        14820255 |@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@|
[64, 128)       13047682 |@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@       |
[128, 256)       8235013 |@@@@@@@@@@@@@@@@@@@@@@@@@@@@                        |
[256, 512)       4507667 |@@@@@@@@@@@@@@@                                     |
[512, 1K)        2600472 |@@@@@@@@@                                           |
[1K, 2K)          927912 |@@@                                                 |
[2K, 4K)          218720 |                                                    |
[4K, 8K)           98161 |                                                    |
[8K, 16K)          37722 |                                                    |
[16K, 32K)          6715 |                                                    |
[32K, 64K)           477 |                                                    |
[64K, 128K)            7 |                                                    |

netperf latency usecs:
=======
case            	load    	    Lat_99th	    std%
TCP_RR          	thread-224	      257.39	(  0.21)

The time spent in select_idle_cpu() is visible to netperf and might have a negative
impact.

[Symptom analysis]
The patch [1] from Mel Gorman has been applied to track the efficiency
of select_idle_sibling. Copy the indicators here:

SIS Search Efficiency(se_eff%):
        A ratio expressed as a percentage of runqueues scanned versus
        idle CPUs found. A 100% efficiency indicates that the target,
        prev or recent CPU of a task was idle at wakeup. The lower the
        efficiency, the more runqueues were scanned before an idle CPU
        was found.

SIS Domain Search Efficiency(dom_eff%):
        Similar, except only for the slower SIS
	patch.

SIS Fast Success Rate(fast_rate%):
        Percentage of SIS that used target, prev or
	recent CPUs.

SIS Success rate(success_rate%):
        Percentage of scans that found an idle CPU.

The test is based on Aubrey's schedtests tool, including netperf, hackbench,
schbench and tbench.

Test on vanilla kernel:
schedstat_parse.py -f netperf_vanilla.log
case	        load	    se_eff%	    dom_eff%	  fast_rate%	success_rate%
TCP_RR	   28 threads	     99.978	      18.535	      99.995	     100.000
TCP_RR	   56 threads	     99.397	       5.671	      99.964	     100.000
TCP_RR	   84 threads	     21.721	       6.818	      73.632	     100.000
TCP_RR	  112 threads	     12.500	       5.533	      59.000	     100.000
TCP_RR	  140 threads	      8.524	       4.535	      49.020	     100.000
TCP_RR	  168 threads	      6.438	       3.945	      40.309	      99.999
TCP_RR	  196 threads	      5.397	       3.718	      32.320	      99.982
TCP_RR	  224 threads	      4.874	       3.661	      25.775	      99.767
UDP_RR	   28 threads	     99.988	      17.704	      99.997	     100.000
UDP_RR	   56 threads	     99.528	       5.977	      99.970	     100.000
UDP_RR	   84 threads	     24.219	       6.992	      76.479	     100.000
UDP_RR	  112 threads	     13.907	       5.706	      62.538	     100.000
UDP_RR	  140 threads	      9.408	       4.699	      52.519	     100.000
UDP_RR	  168 threads	      7.095	       4.077	      44.352	     100.000
UDP_RR	  196 threads	      5.757	       3.775	      35.764	      99.991
UDP_RR	  224 threads	      5.124	       3.704	      28.748	      99.860

schedstat_parse.py -f schbench_vanilla.log
(each group has 28 tasks)
case	        load	    se_eff%	    dom_eff%	  fast_rate%	success_rate%
normal	   1   mthread	     99.152	       6.400	      99.941	     100.000
normal	   2   mthreads	     97.844	       4.003	      99.908	     100.000
normal	   3   mthreads	     96.395	       2.118	      99.917	      99.998
normal	   4   mthreads	     55.288	       1.451	      98.615	      99.804
normal	   5   mthreads	      7.004	       1.870	      45.597	      61.036
normal	   6   mthreads	      3.354	       1.346	      20.777	      34.230
normal	   7   mthreads	      2.183	       1.028	      11.257	      21.055
normal	   8   mthreads	      1.653	       0.825	       7.849	      15.549

schedstat_parse.py -f hackbench_vanilla.log
(each group has 28 tasks)
case			load	        se_eff%	    dom_eff%	  fast_rate%	success_rate%
process-pipe	     1 group	         99.991	       7.692	      99.999	     100.000
process-pipe	    2 groups	         99.934	       4.615	      99.997	     100.000
process-pipe	    3 groups	         99.597	       3.198	      99.987	     100.000
process-pipe	    4 groups	         98.378	       2.464	      99.958	     100.000
process-pipe	    5 groups	         27.474	       3.653	      89.811	      99.800
process-pipe	    6 groups	         20.201	       4.098	      82.763	      99.570
process-pipe	    7 groups	         16.423	       4.156	      77.398	      99.316
process-pipe	    8 groups	         13.165	       3.920	      72.232	      98.828
process-sockets	     1 group	         99.977	       5.882	      99.999	     100.000
process-sockets	    2 groups	         99.927	       5.505	      99.996	     100.000
process-sockets	    3 groups	         99.397	       3.250	      99.980	     100.000
process-sockets	    4 groups	         79.680	       4.258	      98.864	      99.998
process-sockets	    5 groups	          7.673	       2.503	      63.659	      92.115
process-sockets	    6 groups	          4.642	       1.584	      58.946	      88.048
process-sockets	    7 groups	          3.493	       1.379	      49.816	      81.164
process-sockets	    8 groups	          3.015	       1.407	      40.845	      75.500
threads-pipe	     1 group	         99.997	       0.000	     100.000	     100.000
threads-pipe	    2 groups	         99.894	       2.932	      99.997	     100.000
threads-pipe	    3 groups	         99.611	       4.117	      99.983	     100.000
threads-pipe	    4 groups	         97.703	       2.624	      99.937	     100.000
threads-pipe	    5 groups	         22.919	       3.623	      87.150	      99.764
threads-pipe	    6 groups	         18.016	       4.038	      80.491	      99.557
threads-pipe	    7 groups	         14.663	       3.991	      75.239	      99.247
threads-pipe	    8 groups	         12.242	       3.808	      70.651	      98.644
threads-sockets	     1 group	         99.990	       6.667	      99.999	     100.000
threads-sockets	    2 groups	         99.940	       5.114	      99.997	     100.000
threads-sockets	    3 groups	         99.469	       4.115	      99.977	     100.000
threads-sockets	    4 groups	         87.528	       4.038	      99.400	     100.000
threads-sockets	    5 groups	          6.942	       2.398	      59.244	      88.337
threads-sockets	    6 groups	          4.359	       1.954	      49.448	      87.860
threads-sockets	    7 groups	          2.845	       1.345	      41.198	      77.102
threads-sockets	    8 groups	          2.871	       1.404	      38.512	      74.312

schedstat_parse.py -f tbench_vanilla.log
case			load	      se_eff%	    dom_eff%	  fast_rate%	success_rate%
loopback	  28 threads	       99.976	      18.369	      99.995	     100.000
loopback	  56 threads	       99.222	       7.799	      99.934	     100.000
loopback	  84 threads	       19.723	       6.819	      70.215	     100.000
loopback	 112 threads	       11.283	       5.371	      55.371	      99.999
loopback	 140 threads	        0.000	       0.000	       0.000	       0.000
loopback	 168 threads	        0.000	       0.000	       0.000	       0.000
loopback	 196 threads	        0.000	       0.000	       0.000	       0.000
loopback	 224 threads	        0.000	       0.000	       0.000	       0.000

According to the test above, if the system becomes busy, the
SIS Search Efficiency(se_eff%) drops significantly. Although some
benchmarks would finally find an idle CPU(success_rate% = 100%), it is
doubtful whether it is worth it to search the whole LLC domain.

[Proposal]
It would be ideal to have a crystal ball to answer this question:
How many CPUs must a wakeup path walk down, before it can find an idle
CPU? Many potential metrics could be used to predict the number.
One candidate is the sum of util_avg in this LLC domain. The benefit
of choosing util_avg is that it is a metric of accumulated historic
activity, which seems to be smoother than instantaneous metrics
(such as rq->nr_running). Besides, choosing the sum of util_avg
would help predict the load of the LLC domain more precisely, because
SIS_PROP uses one CPU's idle time to estimate the total LLC domain idle
time.

In summary, the lower the util_avg is, the more select_idle_cpu()
should scan for idle CPU, and vice versa. When the sum of util_avg
in this LLC domain hits 85% or above, the scan stops. The reason to
choose 85% as the threshold is that this is the imbalance_pct(117)
when a LLC sched group is overloaded.

Introduce the quadratic function:

y = SCHED_CAPACITY_SCALE - p * x^2
and y'= y / SCHED_CAPACITY_SCALE

x is the ratio of sum_util compared to the CPU capacity:
x = sum_util / (llc_weight * SCHED_CAPACITY_SCALE)
y' is the ratio of CPUs to be scanned in the LLC domain,
and the number of CPUs to scan is calculated by:

nr_scan = llc_weight * y'

Choosing quadratic function is because:
[1] Compared to the linear function, it scans more aggressively when the
    sum_util is low.
[2] Compared to the exponential function, it is easier to calculate.
[3] It seems that there is no accurate mapping between the sum of util_avg
    and the number of CPUs to be scanned. Use heuristic scan for now.

For a platform with 112 CPUs per LLC, the number of CPUs to scan is:
sum_util%   0    5   15   25  35  45  55   65   75   85   86 ...
scan_nr   112  111  108  102  93  81  65   47   25    1    0 ...

For a platform with 16 CPUs per LLC, the number of CPUs to scan is:
sum_util%   0    5   15   25  35  45  55   65   75   85   86 ...
scan_nr    16   15   15   14  13  11   9    6    3    0    0 ...

Furthermore, to minimize the overhead of calculating the metrics in
select_idle_cpu(), borrow the statistics from periodic load balance.
As mentioned by Abel, on a platform with 112 CPUs per LLC, the
sum_util calculated by periodic load balance after 112 ms would
decay to about 0.5 * 0.5 * 0.5 * 0.7 = 8.75%, thus bringing a delay
in reflecting the latest utilization. But it is a trade-off.
Checking the util_avg in newidle load balance would be more frequent,
but it brings overhead - multiple CPUs write/read the per-LLC shared
variable and introduces cache contention. Tim also mentioned that,
it is allowed to be non-optimal in terms of scheduling for the
short-term variations, but if there is a long-term trend in the load
behavior, the scheduler can adjust for that.

When SIS_UTIL is enabled, the select_idle_cpu() uses the nr_scan
calculated by SIS_UTIL instead of the one from SIS_PROP. As Peter and
Mel suggested, SIS_UTIL should be enabled by default.

This patch is based on the util_avg, which is very sensitive to the
CPU frequency invariance. There is an issue that, when the max frequency
has been clamp, the util_avg would decay insanely fast when
the CPU is idle. Commit addca285120b ("cpufreq: intel_pstate: Handle no_turbo
in frequency invariance") could be used to mitigate this symptom, by adjusting
the arch_max_freq_ratio when turbo is disabled. But this issue is still
not thoroughly fixed, because the current code is unaware of the user-specified
max CPU frequency.

[Test result]

netperf and tbench were launched with 25% 50% 75% 100% 125% 150%
175% 200% of CPU number respectively. Hackbench and schbench were launched
by 1, 2 ,4, 8 groups. Each test lasts for 100 seconds and repeats 3 times.

The following is the benchmark result comparison between
baseline:vanilla v5.19-rc1 and compare:patched kernel. Positive compare%
indicates better performance.

Each netperf test is a:
netperf -4 -H 127.0.1 -t TCP/UDP_RR -c -C -l 100
netperf.throughput
=======
case            	load    	baseline(std%)	compare%( std%)
TCP_RR          	28 threads	 1.00 (  0.34)	 -0.16 (  0.40)
TCP_RR          	56 threads	 1.00 (  0.19)	 -0.02 (  0.20)
TCP_RR          	84 threads	 1.00 (  0.39)	 -0.47 (  0.40)
TCP_RR          	112 threads	 1.00 (  0.21)	 -0.66 (  0.22)
TCP_RR          	140 threads	 1.00 (  0.19)	 -0.69 (  0.19)
TCP_RR          	168 threads	 1.00 (  0.18)	 -0.48 (  0.18)
TCP_RR          	196 threads	 1.00 (  0.16)	+194.70 ( 16.43)
TCP_RR          	224 threads	 1.00 (  0.16)	+197.30 (  7.85)
UDP_RR          	28 threads	 1.00 (  0.37)	 +0.35 (  0.33)
UDP_RR          	56 threads	 1.00 ( 11.18)	 -0.32 (  0.21)
UDP_RR          	84 threads	 1.00 (  1.46)	 -0.98 (  0.32)
UDP_RR          	112 threads	 1.00 ( 28.85)	 -2.48 ( 19.61)
UDP_RR          	140 threads	 1.00 (  0.70)	 -0.71 ( 14.04)
UDP_RR          	168 threads	 1.00 ( 14.33)	 -0.26 ( 11.16)
UDP_RR          	196 threads	 1.00 ( 12.92)	+186.92 ( 20.93)
UDP_RR          	224 threads	 1.00 ( 11.74)	+196.79 ( 18.62)

Take the 224 threads as an example, the SIS search metrics changes are
illustrated below:

    vanilla                    patched
   4544492          +237.5%   15338634        sched_debug.cpu.sis_domain_search.avg
     38539        +39686.8%   15333634        sched_debug.cpu.sis_failed.avg
  128300000          -87.9%   15551326        sched_debug.cpu.sis_scanned.avg
   5842896          +162.7%   15347978        sched_debug.cpu.sis_search.avg

There is -87.9% less CPU scans after patched, which indicates lower overhead.
Besides, with this patch applied, there is -13% less rq lock contention
in perf-profile.calltrace.cycles-pp._raw_spin_lock.raw_spin_rq_lock_nested
.try_to_wake_up.default_wake_function.woken_wake_function.
This might help explain the performance improvement - Because this patch allows
the waking task to remain on the previous CPU, rather than grabbing other CPUs'
lock.

Each hackbench test is a:
hackbench -g $job --process/threads --pipe/sockets -l 1000000 -s 100
hackbench.throughput
=========
case            	load    	baseline(std%)	compare%( std%)
process-pipe    	1 group 	 1.00 (  1.29)	 +0.57 (  0.47)
process-pipe    	2 groups 	 1.00 (  0.27)	 +0.77 (  0.81)
process-pipe    	4 groups 	 1.00 (  0.26)	 +1.17 (  0.02)
process-pipe    	8 groups 	 1.00 (  0.15)	 -4.79 (  0.02)
process-sockets 	1 group 	 1.00 (  0.63)	 -0.92 (  0.13)
process-sockets 	2 groups 	 1.00 (  0.03)	 -0.83 (  0.14)
process-sockets 	4 groups 	 1.00 (  0.40)	 +5.20 (  0.26)
process-sockets 	8 groups 	 1.00 (  0.04)	 +3.52 (  0.03)
threads-pipe    	1 group 	 1.00 (  1.28)	 +0.07 (  0.14)
threads-pipe    	2 groups 	 1.00 (  0.22)	 -0.49 (  0.74)
threads-pipe    	4 groups 	 1.00 (  0.05)	 +1.88 (  0.13)
threads-pipe    	8 groups 	 1.00 (  0.09)	 -4.90 (  0.06)
threads-sockets 	1 group 	 1.00 (  0.25)	 -0.70 (  0.53)
threads-sockets 	2 groups 	 1.00 (  0.10)	 -0.63 (  0.26)
threads-sockets 	4 groups 	 1.00 (  0.19)	+11.92 (  0.24)
threads-sockets 	8 groups 	 1.00 (  0.08)	 +4.31 (  0.11)

Each tbench test is a:
tbench -t 100 $job 127.0.0.1
tbench.throughput
======
case            	load    	baseline(std%)	compare%( std%)
loopback        	28 threads	 1.00 (  0.06)	 -0.14 (  0.09)
loopback        	56 threads	 1.00 (  0.03)	 -0.04 (  0.17)
loopback        	84 threads	 1.00 (  0.05)	 +0.36 (  0.13)
loopback        	112 threads	 1.00 (  0.03)	 +0.51 (  0.03)
loopback        	140 threads	 1.00 (  0.02)	 -1.67 (  0.19)
loopback        	168 threads	 1.00 (  0.38)	 +1.27 (  0.27)
loopback        	196 threads	 1.00 (  0.11)	 +1.34 (  0.17)
loopback        	224 threads	 1.00 (  0.11)	 +1.67 (  0.22)

Each schbench test is a:
schbench -m $job -t 28 -r 100 -s 30000 -c 30000
schbench.latency_90%_us
========
case            	load    	baseline(std%)	compare%( std%)
normal          	1 mthread	 1.00 ( 31.22)	 -7.36 ( 20.25)*
normal          	2 mthreads	 1.00 (  2.45)	 -0.48 (  1.79)
normal          	4 mthreads	 1.00 (  1.69)	 +0.45 (  0.64)
normal          	8 mthreads	 1.00 (  5.47)	 +9.81 ( 14.28)

*Consider the Standard Deviation, this -7.36% regression might not be valid.

Also, a OLTP workload with a commercial RDBMS has been tested, and there
is no significant change.

There were concerns that unbalanced tasks among CPUs would cause problems.
For example, suppose the LLC domain is composed of 8 CPUs, and 7 tasks are
bound to CPU0~CPU6, while CPU7 is idle:

          CPU0    CPU1    CPU2    CPU3    CPU4    CPU5    CPU6    CPU7
util_avg  1024    1024    1024    1024    1024    1024    1024    0

Since the util_avg ratio is 87.5%( = 7/8 ), which is higher than 85%,
select_idle_cpu() will not scan, thus CPU7 is undetected during scan.
But according to Mel, it is unlikely the CPU7 will be idle all the time
because CPU7 could pull some tasks via CPU_NEWLY_IDLE.

lkp(kernel test robot) has reported a regression on stress-ng.sock on a
very busy system. According to the sched_debug statistics, it might be caused
by SIS_UTIL terminates the scan and chooses a previous CPU earlier, and this
might introduce more context switch, especially involuntary preemption, which
impacts a busy stress-ng. This regression has shown that, not all benchmarks
in every scenario benefit from idle CPU scan limit, and it needs further
investigation.

Besides, there is slight regression in hackbench's 16 groups case when the
LLC domain has 16 CPUs. Prateek mentioned that we should scan aggressively
in an LLC domain with 16 CPUs. Because the cost to search for an idle one
among 16 CPUs is negligible. The current patch aims to propose a generic
solution and only considers the util_avg. Something like the below could
be applied on top of the current patch to fulfill the requirement:

	if (llc_weight <= 16)
		nr_scan = nr_scan * 32 / llc_weight;

For LLC domain with 16 CPUs, the nr_scan will be expanded to 2 times large.
The smaller the CPU number this LLC domain has, the larger nr_scan will be
expanded. This needs further investigation.

There is also ongoing work[2] from Abel to filter out the busy CPUs during
wakeup, to further speed up the idle CPU scan. And it could be a following-up
optimization on top of this change.

Suggested-by: Tim Chen <tim.c.chen@intel.com>
Suggested-by: Peter Zijlstra <peterz@infradead.org>
Signed-off-by: Chen Yu <yu.c.chen@intel.com>
Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org>
Tested-by: Yicong Yang <yangyicong@hisilicon.com>
Tested-by: Mohini Narkhede <mohini.narkhede@intel.com>
Tested-by: K Prateek Nayak <kprateek.nayak@amd.com>
Link: https://lore.kernel.org/r/20220612163428.849378-1-yu.c.chen@intel.com

1 files changed, 87 insertions, 0 deletions

diff --git a/kernel/sched/fair.c b/kernel/sched/fair.c
index 7400600b4db6..f80ae86bb404 100644
--- a/kernel/sched/fair.c
+++ b/kernel/sched/fair.c
@@ -6332,6 +6332,7 @@ static int select_idle_cpu(struct task_struct *p, struct sched_domain *sd, bool
 {
 	struct cpumask *cpus = this_cpu_cpumask_var_ptr(select_idle_mask);
 	int i, cpu, idle_cpu = -1, nr = INT_MAX;
+	struct sched_domain_shared *sd_share;
 	struct rq *this_rq = this_rq();
 	int this = smp_processor_id();
 	struct sched_domain *this_sd;
@@ -6371,6 +6372,17 @@ static int select_idle_cpu(struct task_struct *p, struct sched_domain *sd, bool
 		time = cpu_clock(this);
 	}
 
+	if (sched_feat(SIS_UTIL)) {
+		sd_share = rcu_dereference(per_cpu(sd_llc_shared, target));
+		if (sd_share) {
+			/* because !--nr is the condition to stop scan */
+			nr = READ_ONCE(sd_share->nr_idle_scan) + 1;
+			/* overloaded LLC is unlikely to have idle cpu/core */
+			if (nr == 1)
+				return -1;
+		}
+	}
+
 	for_each_cpu_wrap(cpu, cpus, target + 1) {
 		if (has_idle_core) {
 			i = select_idle_core(p, cpu, cpus, &idle_cpu);
@@ -9224,6 +9236,77 @@ find_idlest_group(struct sched_domain *sd, struct task_struct *p, int this_cpu)
 	return idlest;
 }
 
+static void update_idle_cpu_scan(struct lb_env *env,
+				 unsigned long sum_util)
+{
+	struct sched_domain_shared *sd_share;
+	int llc_weight, pct;
+	u64 x, y, tmp;
+	/*
+	 * Update the number of CPUs to scan in LLC domain, which could
+	 * be used as a hint in select_idle_cpu(). The update of sd_share
+	 * could be expensive because it is within a shared cache line.
+	 * So the write of this hint only occurs during periodic load
+	 * balancing, rather than CPU_NEWLY_IDLE, because the latter
+	 * can fire way more frequently than the former.
+	 */
+	if (!sched_feat(SIS_UTIL) || env->idle == CPU_NEWLY_IDLE)
+		return;
+
+	llc_weight = per_cpu(sd_llc_size, env->dst_cpu);
+	if (env->sd->span_weight != llc_weight)
+		return;
+
+	sd_share = rcu_dereference(per_cpu(sd_llc_shared, env->dst_cpu));
+	if (!sd_share)
+		return;
+
+	/*
+	 * The number of CPUs to search drops as sum_util increases, when
+	 * sum_util hits 85% or above, the scan stops.
+	 * The reason to choose 85% as the threshold is because this is the
+	 * imbalance_pct(117) when a LLC sched group is overloaded.
+	 *
+	 * let y = SCHED_CAPACITY_SCALE - p * x^2                       [1]
+	 * and y'= y / SCHED_CAPACITY_SCALE
+	 *
+	 * x is the ratio of sum_util compared to the CPU capacity:
+	 * x = sum_util / (llc_weight * SCHED_CAPACITY_SCALE)
+	 * y' is the ratio of CPUs to be scanned in the LLC domain,
+	 * and the number of CPUs to scan is calculated by:
+	 *
+	 * nr_scan = llc_weight * y'                                    [2]
+	 *
+	 * When x hits the threshold of overloaded, AKA, when
+	 * x = 100 / pct, y drops to 0. According to [1],
+	 * p should be SCHED_CAPACITY_SCALE * pct^2 / 10000
+	 *
+	 * Scale x by SCHED_CAPACITY_SCALE:
+	 * x' = sum_util / llc_weight;                                  [3]
+	 *
+	 * and finally [1] becomes:
+	 * y = SCHED_CAPACITY_SCALE -
+	 *     x'^2 * pct^2 / (10000 * SCHED_CAPACITY_SCALE)            [4]
+	 *
+	 */
+	/* equation [3] */
+	x = sum_util;
+	do_div(x, llc_weight);
+
+	/* equation [4] */
+	pct = env->sd->imbalance_pct;
+	tmp = x * x * pct * pct;
+	do_div(tmp, 10000 * SCHED_CAPACITY_SCALE);
+	tmp = min_t(long, tmp, SCHED_CAPACITY_SCALE);
+	y = SCHED_CAPACITY_SCALE - tmp;
+
+	/* equation [2] */
+	y *= llc_weight;
+	do_div(y, SCHED_CAPACITY_SCALE);
+	if ((int)y != sd_share->nr_idle_scan)
+		WRITE_ONCE(sd_share->nr_idle_scan, (int)y);
+}
+
 /**
  * update_sd_lb_stats - Update sched_domain's statistics for load balancing.
  * @env: The load balancing environment.
@@ -9236,6 +9319,7 @@ static inline void update_sd_lb_stats(struct lb_env *env, struct sd_lb_stats *sd
 	struct sched_group *sg = env->sd->groups;
 	struct sg_lb_stats *local = &sds->local_stat;
 	struct sg_lb_stats tmp_sgs;
+	unsigned long sum_util = 0;
 	int sg_status = 0;
 
 	do {
@@ -9268,6 +9352,7 @@ next_group:
 		sds->total_load += sgs->group_load;
 		sds->total_capacity += sgs->group_capacity;
 
+		sum_util += sgs->group_util;
 		sg = sg->next;
 	} while (sg != env->sd->groups);
 
@@ -9293,6 +9378,8 @@ next_group:
 		WRITE_ONCE(rd->overutilized, SG_OVERUTILIZED);
 		trace_sched_overutilized_tp(rd, SG_OVERUTILIZED);
 	}
+
+	update_idle_cpu_scan(env, sum_util);
 }
 
 /**