Herbie run

Date:Tuesday, December 17th, 2024
Commit:90c96b06 on bhargav-nobigfloat
Hostname:nightly with Racket 8.10
Seed:2024352
Parameters:256 points for 0 iterations
Flags:
localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 1.3min)

explain55.1s (71.8%)

Memory
238.7MiB live, 41 826.2MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f32#fcancellation18890
log.f32#fsensitivity15130
+.f32#fcancellation9910
sqrt.f32#foflow-rescue3320
cos.f32#fsensitivity2990
sqrt.f64#foflow-rescue2960
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))sensitivity2560
-.f64#fcancellation2010
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity1730
asin.f32(asin.f32 (/.f32 h (sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))))sensitivity1430
/.f32#fo/n1180
+.f64(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))cancellation800
exp.f32#fsensitivity720
sin.f32#fsensitivity710
*.f32#fn*u510
/.f32#fu/n410
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-rescue250
(*.f32 sinTheta_O sinTheta_O)underflow354
(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow25
(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow178
(*.f32 eta eta)underflow25
sin.f32#fcancelation110
/.f32#fu/u70
sqrt.f64#fuflow-rescue60
/.f32#fo/o60
cos.f32#fcancelation40
pow.f64(pow.f64 (E.f64) x)sensitivity20
*.f32#fu*o20
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))oflow-rescue10
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)overflow1
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))overflow1
(pow.f64 (E.f64) x)overflow1
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+22230
-27503475
Precision
0.4470138749245928
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+222300
-275003475
Precision?
0.4470138749245928
Recall?
1.0
Freqs
test
numberfreq
03475
13496
21352
3110
415
Total Confusion?
Predicted +Predicted MaybePredicted -
+2400
-801
Precision?
0.75
Recall?
1.0
Total Time
343.005859375
Average Time
0.04060201933889678
Samples
10.3s96 804×0valid
1.3s3 768×1valid
250.0ms804×2valid
Compiler

Compiled 292 812 to 28 680 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.3s
ival-mult: 2.4s (29.1% of total)
ival-div: 977.0ms (11.8% of total)
ival-add: 542.0ms (6.5% of total)
ival-pow: 528.0ms (6.4% of total)
ival-sub: 495.0ms (6% of total)
ival-sqrt: 371.0ms (4.5% of total)
ival-log: 356.0ms (4.3% of total)
adjust: 225.0ms (2.7% of total)
ival-exp: 216.0ms (2.6% of total)
ival-sin: 216.0ms (2.6% of total)
ival-floor: 209.0ms (2.5% of total)
ival-sinu: 162.0ms (2% of total)
ival-pow2: 141.0ms (1.7% of total)
ival-neg: 141.0ms (1.7% of total)
ival-e: 121.0ms (1.5% of total)
ival-cosu: 121.0ms (1.5% of total)
ival-cos: 112.0ms (1.3% of total)
const: 110.0ms (1.3% of total)
ival-pi: 110.0ms (1.3% of total)
ival-fabs: 100.0ms (1.2% of total)
ival-tan: 88.0ms (1.1% of total)
ival-fmax: 85.0ms (1% of total)
exact: 78.0ms (0.9% of total)
ival-if: 69.0ms (0.8% of total)
ival-log2: 63.0ms (0.8% of total)
ival-true: 60.0ms (0.7% of total)
ival-log1p: 38.0ms (0.5% of total)
ival-assert: 35.0ms (0.4% of total)
ival-atan: 28.0ms (0.3% of total)
ival-sinh: 28.0ms (0.3% of total)
ival-asin: 23.0ms (0.3% of total)
ival->=: 16.0ms (0.2% of total)
ival->: 14.0ms (0.2% of total)
ival-<: 6.0ms (0.1% of total)

analyze14.1s (18.4%)

Memory
149.6MiB live, 5 247.9MiB allocated
Algorithm
33×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%11.5%88.5%0%0%0%0
52.8%6.1%5.4%88.5%0%0%0%1
54.4%6.2%5.2%88.5%0%0%0%2
54.5%6.3%5.2%88.5%0%0%0%3
55.4%6.4%5.1%88.5%0%0%0%4
62.6%7.2%4.3%88.5%0%0%0%5
66.9%7.6%3.8%88.5%0%0.1%0%6
76.4%8.4%2.6%88.5%0%0.4%0%7
76.8%8.5%2.6%88.5%0%0.4%0%8
81.4%9%2%88.5%0%0.4%0%9
85.1%9.3%1.6%88.5%0%0.5%0%10
86.3%9.4%1.5%88.5%0%0.5%0%11
87.3%9.5%1.4%88.5%0%0.6%0%12
Compiler

Compiled 2 648 to 1 114 computations (57.9% saved)

preprocess4.6s (6%)

Memory
-47.0MiB live, 771.8MiB allocated
Algorithm
33×egg-herbie
Stop Event
66×iter limit
35×saturated
31×node limit
Compiler

Compiled 15 914 to 6 317 computations (60.3% saved)

sample2.1s (2.7%)

Memory
18.2MiB live, 662.7MiB allocated
Samples
1.1s8 259×0valid
301.0ms33×5exit
80.0ms252×1valid
39.0ms330×0invalid
18.0ms69×2valid
7.0ms21×1invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-pow: 290.0ms (21.9% of total)
ival-mult: 203.0ms (15.3% of total)
const: 142.0ms (10.7% of total)
ival-<=: 113.0ms (8.5% of total)
ival-div: 88.0ms (6.6% of total)
ival-e: 47.0ms (3.6% of total)
ival-sub: 45.0ms (3.4% of total)
ival-add: 44.0ms (3.3% of total)
ival-and: 35.0ms (2.6% of total)
ival-sqrt: 34.0ms (2.6% of total)
ival-fabs: 33.0ms (2.5% of total)
ival-log: 32.0ms (2.4% of total)
ival-sin: 25.0ms (1.9% of total)
adjust: 20.0ms (1.5% of total)
ival-exp: 19.0ms (1.4% of total)
ival-floor: 18.0ms (1.4% of total)
ival-sinu: 14.0ms (1.1% of total)
exact: 13.0ms (1% of total)
ival-pow2: 12.0ms (0.9% of total)
ival-neg: 12.0ms (0.9% of total)
ival-cos: 10.0ms (0.8% of total)
ival-cosu: 10.0ms (0.8% of total)
ival-log1p: 8.0ms (0.6% of total)
ival-fmax: 8.0ms (0.6% of total)
ival-tan: 7.0ms (0.5% of total)
ival-pi: 7.0ms (0.5% of total)
ival-if: 6.0ms (0.5% of total)
ival-log2: 5.0ms (0.4% of total)
ival-asin: 4.0ms (0.3% of total)
ival->: 4.0ms (0.3% of total)
ival-<: 4.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
ival-==: 3.0ms (0.2% of total)
ival-atan: 2.0ms (0.2% of total)
ival-sinh: 2.0ms (0.2% of total)
ival-true: 1.0ms (0.1% of total)
ival->=: 1.0ms (0.1% of total)
Bogosity

simplify771.0ms (1%)

Memory
-63.4MiB live, 604.4MiB allocated
Algorithm
33×egg-herbie
Stop Event
33×saturated

prune25.0ms (0%)

Memory
19.4MiB live, 19.4MiB allocated
Compiler

Compiled 3 472 to 1 162 computations (66.5% saved)

soundness11.0ms (0%)

Memory
0.0MiB live, 7.9MiB allocated
Stop Event
33×fuel
Compiler

Compiled 1 736 to 584 computations (66.4% saved)

start2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated

eval2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Compiler

Compiled 0 to 121 computations (-∞% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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