Herbie run

Date:Sunday, December 8th, 2024
Commit:d0f224d5 on bhargav-nobigfloat
Hostname:nightly with Racket 8.10
Seed:2024343
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)

explain54.8s (72.3%)

Memory
208.6MiB live, 41 922.0MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32#fsensitivity97899
-.f32#fcancellation39841
sqrt.f32#foflow-rescue3460
sqrt.f64#foflow-rescue2900
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancelation1850
-.f64#fcancellation1821
cos.f32#fcancelation1720
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity1710
/.f32#fo/n1180
/.f32#fu/n450
+.f64(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))cancellation320
*.f32#fn*u290
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-rescue270
(*.f32 sinTheta_O sinTheta_O)underflow346
(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow27
(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow174
(*.f32 eta eta)underflow27
/.f32#fu/u110
/.f32#fo/o100
sqrt.f64#fuflow-rescue60
sin.f32#fcancelation30
/.f32(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))n/u20
(*.f32 #s(literal 2 binary32) v)underflow2
*.f64(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))n*o10
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 -
+216379
-4585748
Precision
0.8252575352918733
Recall
0.9647636039250669
Confusion?
Predicted +Predicted MaybePredicted -
+21636217
-4581145634
Precision?
0.7954951734000715
Recall?
0.9924174843889384
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
05827
12245
2366
310
Total Confusion?
Predicted +Predicted MaybePredicted -
+2501
-412
Precision?
0.8333333333333334
Recall?
0.9615384615384616
Total Time
338.609619140625
Average Time
0.04008163105357777
Samples
10.3s97 140×0valid
825.0ms3 408×1valid
232.0ms828×2valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 7.8s
ival-mult: 2.4s (30.7% of total)
ival-div: 988.0ms (12.7% of total)
ival-add: 542.0ms (6.9% of total)
ival-sub: 482.0ms (6.2% of total)
ival-sqrt: 379.0ms (4.9% of total)
ival-log: 355.0ms (4.5% of total)
ival-sin: 216.0ms (2.8% of total)
ival-exp: 210.0ms (2.7% of total)
ival-floor: 207.0ms (2.7% of total)
ival-pow: 198.0ms (2.5% of total)
ival-sinu: 165.0ms (2.1% of total)
ival-neg: 137.0ms (1.8% of total)
adjust: 127.0ms (1.6% of total)
ival-pow2: 124.0ms (1.6% of total)
ival-cosu: 123.0ms (1.6% of total)
const: 118.0ms (1.5% of total)
ival-pi: 112.0ms (1.4% of total)
ival-cos: 110.0ms (1.4% of total)
ival-fabs: 97.0ms (1.2% of total)
ival-tan: 93.0ms (1.2% of total)
ival-fmax: 87.0ms (1.1% of total)
ival-e: 86.0ms (1.1% of total)
exact: 71.0ms (0.9% of total)
ival-true: 69.0ms (0.9% of total)
ival-if: 68.0ms (0.9% of total)
ival-log2: 61.0ms (0.8% of total)
ival-log1p: 36.0ms (0.5% of total)
ival-assert: 35.0ms (0.4% of total)
ival-atan: 31.0ms (0.4% of total)
ival-sinh: 23.0ms (0.3% of total)
ival-asin: 22.0ms (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)

analyze14.0s (18.4%)

Memory
157.3MiB live, 5 238.9MiB 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 (6.1%)

Memory
0.1MiB live, 771.7MiB 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)

sample1.6s (2.2%)

Memory
3.6MiB live, 649.1MiB allocated
Samples
1.1s8 275×0valid
48.0ms236×1valid
40.0ms362×0invalid
16.0ms69×2valid
6.0ms20×1invalid
5.0ms44×1exit
Precisions
Click to see histograms. Total time spent on operations: 989.0ms
ival-mult: 199.0ms (20.1% of total)
const: 147.0ms (14.9% of total)
ival-<=: 112.0ms (11.3% of total)
ival-div: 88.0ms (8.9% of total)
ival-add: 47.0ms (4.8% of total)
ival-sub: 43.0ms (4.3% of total)
ival-sqrt: 36.0ms (3.6% of total)
ival-and: 32.0ms (3.2% of total)
ival-fabs: 32.0ms (3.2% of total)
ival-log: 31.0ms (3.1% of total)
ival-sin: 23.0ms (2.3% of total)
ival-pow: 20.0ms (2% of total)
ival-exp: 18.0ms (1.8% of total)
ival-floor: 16.0ms (1.6% of total)
ival-sinu: 14.0ms (1.4% of total)
exact: 12.0ms (1.2% of total)
ival-neg: 11.0ms (1.1% of total)
adjust: 10.0ms (1% of total)
ival-pow2: 10.0ms (1% of total)
ival-cosu: 10.0ms (1% of total)
ival-e: 9.0ms (0.9% of total)
ival-cos: 9.0ms (0.9% of total)
ival-tan: 8.0ms (0.8% of total)
ival-log2: 7.0ms (0.7% of total)
ival-fmax: 7.0ms (0.7% of total)
ival-if: 6.0ms (0.6% of total)
ival-pi: 6.0ms (0.6% of total)
ival->: 4.0ms (0.4% of total)
ival-log1p: 4.0ms (0.4% of total)
ival-<: 4.0ms (0.4% of total)
ival-asin: 3.0ms (0.3% of total)
ival-atan: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
ival-==: 3.0ms (0.3% of total)
ival-sinh: 2.0ms (0.2% of total)
ival->=: 2.0ms (0.2% of total)
ival-true: 1.0ms (0.1% of total)
Bogosity

simplify751.0ms (1%)

Memory
-18.7MiB live, 604.2MiB allocated
Algorithm
33×egg-herbie
Stop Event
33×saturated

prune42.0ms (0.1%)

Memory
-6.8MiB live, 19.7MiB allocated
Compiler

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

soundness10.0ms (0%)

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

Compiled 1 736 to 584 computations (66.4% saved)

eval3.0ms (0%)

Memory
-6.0MiB live, 1.7MiB allocated
Compiler

Compiled 0 to 121 computations (-∞% saved)

start3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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