Herbie run

Date:Tuesday, August 6th, 2024
Commit:2.2 on release
Hostname:nightly with Racket 8.11.1
Seed:2024219
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 1.9hr)

simplify22.9min (19.7%)

Memory
-414.1MiB live, 1 587 884.7MiB allocated
Algorithm
4 432×egg-herbie
Rules
30 993 330×lower-fma.f32
30 987 038×lower-fma.f64
12 642 052×lower-*.f32
12 625 010×lower-*.f64
7 110 900×lower-+.f32
Stop Event
5 776×iter limit
2 660×node limit
1 838×saturated
4×unsound
Counts
571 416 → 561 233

soundness17.8min (15.3%)

Memory
-104.4MiB live, 416 231.8MiB allocated
Rules
19 613 266×lower-fma.f32
19 609 956×lower-fma.f64
11 072 598×lower-*.f32
11 062 702×lower-*.f64
5 708 858×lower-/.f32
Stop Event
3 565×iter limit
2 309×node limit
357×fuel
182×done
37×saturated
15×unsound
Compiler

Compiled 380 877 to 176 405 computations (53.7% saved)

sample17.6min (15.1%)

Memory
4 352.6MiB live, 1 254 964.5MiB allocated
Samples
7.1min3 904 611×0valid
2.5min427 625×1valid
1.2min30 325×5exit
1.1min128 133×2valid
51.7s317 047×0invalid
13.4s14 361×3valid
7.3s49 653×0exit
6.2s25 100×1invalid
5.7s25 116×1exit
976.0ms554×4exit
485.0ms1 250×2invalid
367.0ms128×3exit
75.0ms23×4valid
25.0ms14×2exit
Precisions
Click to see histograms. Total time spent on operations: 10.1min
ival-mult: 2.1min (20.6% of total)
ival-div: 54.3s (9% of total)
ival-sin: 49.1s (8.1% of total)
ival-sub: 46.1s (7.6% of total)
ival-pow: 45.4s (7.5% of total)
ival-add: 43.7s (7.2% of total)
ival-cos: 31.7s (5.2% of total)
adjust: 30.7s (5.1% of total)
const: 29.9s (4.9% of total)
ival-log: 22.3s (3.7% of total)
ival-tan: 20.3s (3.3% of total)
ival-exp: 19.3s (3.2% of total)
ival-sqrt: 16.7s (2.8% of total)
ival-pow2: 11.8s (1.9% of total)
ival-<=: 11.3s (1.9% of total)
ival-hypot: 4.9s (0.8% of total)
ival-neg: 4.7s (0.8% of total)
ival-fabs: 4.5s (0.7% of total)
exact: 3.4s (0.6% of total)
ival-true: 2.8s (0.5% of total)
ival-and: 2.6s (0.4% of total)
ival-<: 2.6s (0.4% of total)
ival-pi: 2.5s (0.4% of total)
ival-expm1: 2.1s (0.3% of total)
ival-asin: 2.0s (0.3% of total)
ival-acos: 2.0s (0.3% of total)
ival-assert: 1.9s (0.3% of total)
ival-atan2: 1.8s (0.3% of total)
ival-log1p: 1.6s (0.3% of total)
ival-atan: 1.2s (0.2% of total)
ival-floor: 1.1s (0.2% of total)
ival-sinh: 979.0ms (0.2% of total)
ival->: 859.0ms (0.1% of total)
ival-if: 826.0ms (0.1% of total)
ival-fmod: 730.0ms (0.1% of total)
ival-cbrt: 639.0ms (0.1% of total)
ival-fmin: 488.0ms (0.1% of total)
ival-asinh: 484.0ms (0.1% of total)
ival-==: 370.0ms (0.1% of total)
ival-log2: 323.0ms (0.1% of total)
ival->=: 317.0ms (0.1% of total)
ival-acosh: 275.0ms (0% of total)
ival-fmax: 254.0ms (0% of total)
ival-cosh: 222.0ms (0% of total)
ival-atanh: 122.0ms (0% of total)
ival-tanh: 101.0ms (0% of total)
ival-or: 38.0ms (0% of total)
Bogosity

rewrite17.5min (15%)

Memory
3 756.0MiB live, 1 010 523.9MiB allocated
Algorithm
1 946×batch-egg-rewrite
Rules
10 187 770×lower-fma.f32
10 181 532×lower-fma.f64
8 067 262×lower-*.f32
8 050 626×lower-*.f64
6 438 762×lower-/.f32
Stop Event
4 009×iter limit
1 859×node limit
94×saturated
36×unsound
Counts
23 984 → 1 262 431

prune13.0min (11.1%)

Memory
-11 678.2MiB live, 625 620.5MiB allocated
Counts
2 233 158 → 42 179
Compiler

Compiled 2 234 843 to 1 039 579 computations (53.5% saved)

eval8.1min (6.9%)

Memory
8 652.4MiB live, 625 471.3MiB allocated
Compiler

Compiled 107 769 819 to 5 041 469 computations (95.3% saved)

localize4.7min (4%)

Memory
-489.7MiB live, 381 109.8MiB allocated
Samples
1.6min410 394×0valid
37.3s43 933×1valid
20.7s17 162×2valid
6.8s18 236×0invalid
4.9s1 070×5exit
3.7s2 239×3valid
1.6s3 011×1exit
1.4s380×4exit
963.0ms117×3exit
447.0ms1 104×0exit
316.0ms195×1invalid
290.0ms272×2exit
94.0ms43×4valid
13.0ms14×2invalid
7.0ms6×3invalid
Compiler

Compiled 470 536 to 51 528 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1min
ival-mult: 36.1s (28.8% of total)
ival-div: 16.4s (13% of total)
ival-add: 14.4s (11.5% of total)
ival-cos: 8.4s (6.7% of total)
adjust: 7.4s (5.9% of total)
const: 6.7s (5.4% of total)
ival-sin: 6.6s (5.2% of total)
ival-sub: 4.5s (3.6% of total)
ival-sqrt: 4.3s (3.4% of total)
ival-pow: 3.8s (3% of total)
ival-tan: 2.9s (2.3% of total)
ival-log: 2.7s (2.2% of total)
ival-neg: 1.8s (1.4% of total)
ival-exp: 1.7s (1.4% of total)
ival-pow2: 1.7s (1.4% of total)
ival-log1p: 594.0ms (0.5% of total)
ival-asin: 573.0ms (0.5% of total)
exact: 560.0ms (0.4% of total)
ival-atan2: 519.0ms (0.4% of total)
ival-hypot: 514.0ms (0.4% of total)
ival-acos: 486.0ms (0.4% of total)
ival-true: 413.0ms (0.3% of total)
ival-pi: 296.0ms (0.2% of total)
ival-fabs: 291.0ms (0.2% of total)
ival-if: 247.0ms (0.2% of total)
ival-atan: 246.0ms (0.2% of total)
ival-assert: 205.0ms (0.2% of total)
ival-cbrt: 204.0ms (0.2% of total)
ival-sinh: 198.0ms (0.2% of total)
ival-fmod: 160.0ms (0.1% of total)
ival-copysign: 137.0ms (0.1% of total)
ival-fmax: 109.0ms (0.1% of total)
ival-log2: 85.0ms (0.1% of total)
ival-floor: 83.0ms (0.1% of total)
ival-tanh: 81.0ms (0.1% of total)
ival-expm1: 62.0ms (0% of total)
ival-cosh: 55.0ms (0% of total)
ival->=: 23.0ms (0% of total)
ival->: 14.0ms (0% of total)
ival-e: 9.0ms (0% of total)
ival-<: 5.0ms (0% of total)

regimes4.4min (3.8%)

Memory
223.1MiB live, 374 672.6MiB allocated
Counts
136 570 → 10 069
Calls

1 214 calls:

20.0s
x
13.6s
y
10.7s
z
8.9s
a
8.3s
t
Compiler

Compiled 205 525 to 133 704 computations (34.9% saved)

preprocess3.0min (2.6%)

Memory
1 190.6MiB live, 201 423.1MiB allocated
Algorithm
542×egg-herbie
Rules
2 120 258×lower-fma.f32
2 120 256×lower-fma.f64
556 378×lower-*.f32
554 402×lower-*.f64
388 484×unsub-neg
Stop Event
1 080×iter limit
743×saturated
345×node limit
Compiler

Compiled 447 516 to 125 242 computations (72% saved)

explain2.4min (2%)

Memory
-1 917.4MiB live, 166 605.5MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation902061
sqrt.f64#foflow-rescue52270
log.f64#fsensitivity35062
cos.f64#fsensitivity32669
+.f64#fcancellation3041133
sin.f64#fsensitivity19722
/.f64#fo/n19100
/.f64#fo/o16760
-.f64#fnan-rescue13060
log.f32#fsensitivity116690
*.f64#fn*o11520
/.f64#fu/u10120
/.f64#fn/o9840
sqrt.f64#fuflow-rescue9490
+.f64#fnan-rescue8010
/.f64#fu/n7390
sqrt.f32#foflow-rescue5360
acos.f64#fsensitivity5297
*.f64#fn*u4650
tan.f64#fsensitivity4041
pow.f64#fsensitivity40355
-.f32#fcancellation38451
/.f64#fn/u2720
-.f64(-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))oflow-left2310
exp.f64#fsensitivity20828
cos.f32#fsensitivity19315
cos.f64#foflow-rescue1890
*.f64#fu*o1880
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation18313
/.f32#fo/n1480
pow.f64#foflow-rescue1480
asin.f64(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))sensitivity1230
*.f64#fo*u1200
cbrt.f64#foflow-rescue930
log.f64#foflow-rescue930
log.f64#fuflow-rescue770
pow.f64#fuflow-rescue650
exp.f32#fsensitivity3616
sin.f64#foflow-rescue360
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue350
↳(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow35
cbrt.f64#fuflow-rescue340
sqrt.f32(sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))uflow-rescue180
↳(*.f32 sinTheta_O sinTheta_O)underflow284
↳(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow18
↳(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow142
↳(*.f32 eta eta)underflow18
/.f32#fu/n170
/.f32#fo/o140
/.f32#fn/o100
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*u40
log.f32#foflow-rescue30
tan.f64(tan.f64 (+.f64 x eps))cancellation10
sin.f64(sin.f64 (+.f64 x eps))cancellation10
Confusion
Predicted +Predicted -
+303071178
-6072101195
Precision
0.8330905192556145
Recall
0.962585358107035
Confusion?
Predicted +Predicted MaybePredicted -
+30307280898
-6072440100755
Precision?
0.8244696622550473
Recall?
0.9714784818167381
Freqs
test
numberfreq
0102373
130538
24782
3602
4303
587
635
717
811
94
Total Confusion?
Predicted +Predicted MaybePredicted -
+34432
-100183
Precision?
0.9719887955182073
Recall?
0.994269340974212
Samples
35.6s234 710×0valid
11.8s30 914×1valid
6.9s10 608×2valid
1.1s1 166×3valid
12.0ms90×1exit
7.0ms14×5exit
1.0ms2×4valid
Compiler

Compiled 106 318 to 25 502 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0s
ival-mult: 16.5s (41.2% of total)
ival-div: 3.1s (7.7% of total)
ival-sub: 2.5s (6.4% of total)
ival-sin: 2.5s (6.3% of total)
ival-add: 2.5s (6.2% of total)
adjust: 1.9s (4.7% of total)
ival-cos: 1.8s (4.6% of total)
ival-log: 1.6s (4% of total)
ival-tan: 1.3s (3.2% of total)
ival-exp: 971.0ms (2.4% of total)
ival-pow: 865.0ms (2.2% of total)
ival-sqrt: 860.0ms (2.2% of total)
const: 746.0ms (1.9% of total)
ival-pow2: 600.0ms (1.5% of total)
ival-hypot: 320.0ms (0.8% of total)
ival-neg: 259.0ms (0.6% of total)
ival-true: 239.0ms (0.6% of total)
exact: 162.0ms (0.4% of total)
ival-sinh: 154.0ms (0.4% of total)
ival-pi: 126.0ms (0.3% of total)
ival-acos: 123.0ms (0.3% of total)
ival-asin: 112.0ms (0.3% of total)
ival-assert: 112.0ms (0.3% of total)
ival-fabs: 106.0ms (0.3% of total)
ival-atan2: 102.0ms (0.3% of total)
ival-floor: 78.0ms (0.2% of total)
ival-log1p: 76.0ms (0.2% of total)
ival-atan: 70.0ms (0.2% of total)
ival-cosh: 37.0ms (0.1% of total)
ival-cbrt: 35.0ms (0.1% of total)
ival-fmod: 27.0ms (0.1% of total)
ival-expm1: 26.0ms (0.1% of total)
ival-if: 23.0ms (0.1% of total)
ival-fmax: 16.0ms (0% of total)
ival-log2: 13.0ms (0% of total)
ival-copysign: 12.0ms (0% of total)
ival->=: 6.0ms (0% of total)
ival-tanh: 6.0ms (0% of total)
ival->: 3.0ms (0% of total)
ival-<: 3.0ms (0% of total)

analyze1.7min (1.4%)

Memory
56.1MiB live, 105 807.3MiB allocated
Algorithm
545×search
2×random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%84.4%15.6%0%0%0%0
39.8%33.6%50.8%15.6%0%0%0%1
45.9%38.4%45.3%15.6%0%0.8%0%2
54.5%44.5%37.2%15.6%0%2.8%0%3
61.4%49.5%31.1%15.6%0%3.8%0%4
67.7%54.3%25.9%15.6%0%4.3%0%5
71.6%57.1%22.7%15.6%0%4.7%0%6
75.5%59.8%19.4%15.6%0%5.2%0%7
77.5%61.1%17.7%15.6%0%5.6%0%8
80.1%62.9%15.6%15.6%0%5.9%0%9
81.7%63.9%14.3%15.6%0%6.2%0%10
83.9%65.5%12.6%15.6%0%6.4%0%11
85%66.2%11.6%15.6%0%6.6%0%12
Compiler

Compiled 12 518 to 7 841 computations (37.4% saved)

series1.6min (1.3%)

Memory
2 102.8MiB live, 126 351.1MiB allocated
Counts
23 984 → 571 416
Calls

106485 calls:

TimeVariablePointExpression
463.0ms
x
@inf
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
379.0ms
y-scale
@-inf
(sqrt (+ (pow (- (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale)) 2) (pow (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) 2)))
372.0ms
x
@0
(/ (- (* 1 (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1)) (* (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) 3))) (* (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1) (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (exp (* x x)))))) 1)))
335.0ms
h
@-inf
(exp (+ (* (log dY.v) 2) (* 2 (log (floor h)))))
268.0ms
yi
@0
(+ (* (sqrt (+ (* (* maxCos maxCos) (* (* (- 1 ux) (- 1 ux)) (* ux (neg ux)))) 1)) (+ (* 2 (* uy (* yi (PI)))) xi)) (* (* (* (- 1 ux) maxCos) ux) zi))

end1.0min (0.9%)

Memory
8.4MiB live, 29 286.7MiB allocated

bsearch58.3s (0.8%)

Memory
-69.8MiB live, 74 167.6MiB allocated
Algorithm
2 728×binary-search
2 524×left-value
Stop Event
2 631×narrow-enough
88×predicate-same
9×predicate-failed
Samples
26.1s186 309×0valid
9.2s16 702×1valid
2.0s2 889×2valid
1.3s9 728×0invalid
237.0ms292×3valid
71.0ms132×1exit
36.0ms61×1invalid
14.0ms86×0exit
1.0ms2×5exit
1.0ms4×2invalid
Compiler

Compiled 742 949 to 520 764 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.4s
ival-mult: 9.0s (30.7% of total)
ival-sub: 3.3s (11.4% of total)
ival-cos: 2.9s (10% of total)
ival-sin: 2.5s (8.7% of total)
ival-div: 2.5s (8.4% of total)
ival-add: 2.2s (7.3% of total)
adjust: 1.2s (4.2% of total)
ival-pow2: 1.1s (3.7% of total)
ival-log: 729.0ms (2.5% of total)
ival-pow: 582.0ms (2% of total)
ival-sqrt: 575.0ms (2% of total)
ival-exp: 542.0ms (1.8% of total)
const: 526.0ms (1.8% of total)
ival-tan: 260.0ms (0.9% of total)
ival-hypot: 239.0ms (0.8% of total)
ival-atan2: 217.0ms (0.7% of total)
ival-true: 155.0ms (0.5% of total)
ival-neg: 131.0ms (0.4% of total)
ival-acos: 125.0ms (0.4% of total)
ival-atan: 110.0ms (0.4% of total)
exact: 91.0ms (0.3% of total)
ival-assert: 83.0ms (0.3% of total)
ival-asin: 52.0ms (0.2% of total)
ival-pi: 39.0ms (0.1% of total)
ival-fmod: 26.0ms (0.1% of total)
ival-fabs: 22.0ms (0.1% of total)
ival-tanh: 12.0ms (0% of total)
ival-cosh: 10.0ms (0% of total)
ival-if: 9.0ms (0% of total)
ival-expm1: 7.0ms (0% of total)
ival->=: 6.0ms (0% of total)
ival-sinh: 5.0ms (0% of total)
ival-log1p: 2.0ms (0% of total)

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