Herbie run

Date:Wednesday, December 11th, 2024
Commit:e3084dcb on bhargav-nobigfloat
Hostname:nightly with Racket 8.10
Seed:2024346
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 (72.4%)

Memory
223.8MiB live, 41 810.6MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f32#fsensitivity100797
-.f32#fcancellation40842
sqrt.f32#foflow-rescue3720
sqrt.f64#foflow-rescue2860
cos.f32#fcancelation2010
-.f64#fcancellation1980
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancelation1920
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))sensitivity1770
/.f32#fo/n1280
/.f32#fu/n490
*.f32#fn*u370
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-rescue340
(*.f32 sinTheta_O sinTheta_O)underflow374
(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow34
(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow187
(*.f32 eta eta)underflow34
+.f64(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))cancellation260
/.f32#fo/o100
sqrt.f64#fuflow-rescue80
exp.f32#fsensitivity724
/.f32(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))u/u60
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))underflow228
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))underflow228
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)underflow6
*.f64#fn*o20
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)))oflow-rescue20
(*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y)overflow2
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64)) y))overflow2
(pow.f64 (E.f64) x)overflow2
(-.f64 (pow.f64 (E.f64) x) #s(literal 1 binary64))overflow2
sin.f32(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))cancelation10
Confusion
Predicted +Predicted -
+220434
-5285682
Precision
0.8067349926793558
Recall
0.9848078641644326
Confusion?
Predicted +Predicted MaybePredicted -
+2204277
-5281535529
Precision?
0.7661401098901099
Recall?
0.9968722073279714
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
05716
12323
2399
310
Total Confusion?
Predicted +Predicted MaybePredicted -
+2510
-304
Precision?
0.896551724137931
Recall?
1.0
Total Time
351.89892578125
Average Time
0.04165470238887903
Samples
9.9s96 900×0valid
1.3s3 744×1valid
216.0ms732×2valid
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 8.0s
ival-mult: 2.3s (29.3% of total)
ival-div: 946.0ms (11.8% of total)
ival-pow: 554.0ms (6.9% of total)
ival-add: 515.0ms (6.4% of total)
ival-sub: 459.0ms (5.7% of total)
ival-sqrt: 349.0ms (4.4% of total)
ival-log: 337.0ms (4.2% of total)
adjust: 219.0ms (2.7% of total)
ival-sin: 210.0ms (2.6% of total)
ival-exp: 201.0ms (2.5% of total)
ival-floor: 195.0ms (2.4% of total)
ival-sinu: 168.0ms (2.1% of total)
ival-neg: 130.0ms (1.6% of total)
ival-pow2: 126.0ms (1.6% of total)
ival-cosu: 124.0ms (1.5% of total)
ival-e: 118.0ms (1.5% of total)
const: 110.0ms (1.4% of total)
ival-cos: 109.0ms (1.4% of total)
ival-pi: 106.0ms (1.3% of total)
ival-fabs: 91.0ms (1.1% of total)
ival-tan: 85.0ms (1.1% of total)
ival-fmax: 83.0ms (1% of total)
exact: 71.0ms (0.9% of total)
ival-if: 64.0ms (0.8% of total)
ival-true: 62.0ms (0.8% of total)
ival-log2: 61.0ms (0.8% of total)
ival-log1p: 37.0ms (0.5% of total)
ival-assert: 32.0ms (0.4% of total)
ival-atan: 26.0ms (0.3% of total)
ival-asin: 23.0ms (0.3% of total)
ival-sinh: 22.0ms (0.3% of total)
ival->=: 15.0ms (0.2% of total)
ival->: 13.0ms (0.2% of total)
ival-<: 6.0ms (0.1% of total)

analyze13.6s (17.9%)

Memory
138.6MiB live, 5 246.2MiB 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
-11.3MiB live, 772.0MiB 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)

sample2.0s (2.7%)

Memory
30.1MiB live, 666.3MiB allocated
Samples
1.1s8 261×0valid
369.0ms45×5exit
82.0ms258×1valid
38.0ms351×0invalid
15.0ms61×2valid
9.0ms25×1invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-pow: 344.0ms (25.4% of total)
ival-mult: 196.0ms (14.5% of total)
const: 142.0ms (10.5% of total)
ival-<=: 110.0ms (8.1% of total)
ival-div: 86.0ms (6.4% of total)
ival-e: 59.0ms (4.4% of total)
ival-sub: 42.0ms (3.1% of total)
ival-add: 42.0ms (3.1% of total)
ival-sqrt: 32.0ms (2.4% of total)
ival-and: 32.0ms (2.4% of total)
ival-fabs: 32.0ms (2.4% of total)
ival-log: 29.0ms (2.1% of total)
ival-sin: 23.0ms (1.7% of total)
adjust: 22.0ms (1.6% of total)
ival-exp: 17.0ms (1.3% of total)
ival-floor: 16.0ms (1.2% of total)
ival-sinu: 14.0ms (1% of total)
exact: 12.0ms (0.9% of total)
ival-pow2: 11.0ms (0.8% of total)
ival-neg: 11.0ms (0.8% of total)
ival-log1p: 10.0ms (0.7% of total)
ival-cosu: 10.0ms (0.7% of total)
ival-cos: 9.0ms (0.7% of total)
ival-tan: 8.0ms (0.6% of total)
ival-fmax: 7.0ms (0.5% of total)
ival-pi: 6.0ms (0.4% of total)
ival-log2: 5.0ms (0.4% of total)
ival-if: 5.0ms (0.4% of total)
ival->: 4.0ms (0.3% of total)
ival-<: 4.0ms (0.3% of total)
ival-asin: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
ival-atan: 2.0ms (0.1% of total)
ival-sinh: 2.0ms (0.1% of total)
ival-==: 2.0ms (0.1% of total)
ival-true: 1.0ms (0.1% of total)
ival->=: 1.0ms (0.1% of total)
Bogosity

simplify754.0ms (1%)

Memory
-47.5MiB live, 604.4MiB allocated
Algorithm
33×egg-herbie
Stop Event
33×saturated

prune29.0ms (0%)

Memory
-4.0MiB live, 19.5MiB 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
-6.2MiB live, 1.7MiB allocated
Compiler

Compiled 0 to 121 computations (-∞% saved)

start2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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