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: 1.4min)

explain1.2min (86%)

Memory
367.5MiB live, 53 072.9MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue10990
-.f64#fcancellation8161
/.f64#fo/o6610
/.f64#fo/n1920
*.f64#fn*u1770
sqrt.f64#fuflow-rescue1430
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1300
(*.f32 x x)overflow130
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow130
sin.f64#fsensitivity1060
cos.f64(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))sensitivity1040
-.f64#fnan-rescue1030
/.f64#fu/n890
/.f64#fn/o840
+.f64#fcancellation680
/.f64#fu/u600
+.f64#fnan-rescue510
*.f64#fn*o360
/.f64#fn/u50
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue40
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow4
(*.f32 x x)overflow130
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow130
*.f64(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))o*u30
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))overflow3
(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))overflow3
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))underflow3
exp.f64(exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))sensitivity10
sin.f64(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))oflow-rescue10
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))overflow1
(*.f64 x.re x.re)overflow55
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow104
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow1
(*.f64 x.im x.im)overflow67
Confusion
Predicted +Predicted -
+315484
-20710123
Precision
0.9384111871466825
Recall
0.9740580605311921
Confusion?
Predicted +Predicted MaybePredicted -
+3154183
-207110122
Precision?
0.9381504608980077
Recall?
0.974366893143916
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
010207
12789
2572
Total Confusion?
Predicted +Predicted MaybePredicted -
+3400
-0118
Precision?
0.9714285714285714
Recall?
1.0
Total Time
404.069580078125
Average Time
0.029781071644908976
Samples
10.6s143 004×0valid
5.3s14 304×1valid
2.7s5 088×2valid
134.0ms396×3valid
11.0ms24×5exit
Compiler

Compiled 226 692 to 32 424 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.2s
ival-mult: 3.5s (26.5% of total)
adjust: 1.6s (12.4% of total)
ival-add: 1.5s (11.6% of total)
const: 1.0s (7.8% of total)
ival-div: 960.0ms (7.3% of total)
ival-exp: 849.0ms (6.4% of total)
ival-hypot: 609.0ms (4.6% of total)
ival-log: 565.0ms (4.3% of total)
ival-sub: 533.0ms (4% of total)
ival-asin: 327.0ms (2.5% of total)
ival-sin: 296.0ms (2.2% of total)
ival-cos: 269.0ms (2% of total)
ival-sqrt: 240.0ms (1.8% of total)
ival-atan2: 223.0ms (1.7% of total)
ival-pow: 130.0ms (1% of total)
ival-true: 107.0ms (0.8% of total)
exact: 93.0ms (0.7% of total)
ival-pi: 75.0ms (0.6% of total)
ival-neg: 63.0ms (0.5% of total)
ival-assert: 55.0ms (0.4% of total)
ival-fabs: 54.0ms (0.4% of total)
ival-sinu: 37.0ms (0.3% of total)
ival-cosu: 30.0ms (0.2% of total)

preprocess7.2s (8.3%)

Memory
-0.0MiB live, 1 170.0MiB allocated
Algorithm
53×egg-herbie
Stop Event
106×iter limit
68×saturated
38×node limit
Compiler

Compiled 11 154 to 6 123 computations (45.1% saved)

analyze1.8s (2.1%)

Memory
55.8MiB live, 590.2MiB allocated
Algorithm
54×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%85.3%14.7%0%0%0%0
55.8%47.6%37.7%14.7%0%0%0%1
67.3%56.1%27.3%14.7%0%1.9%0%2
71.6%59%23.5%14.7%0%2.8%0%3
77%61.9%18.5%14.7%0%4.9%0%4
83%66.6%13.7%14.7%0%5%0%5
85.1%68.1%11.9%14.7%0%5.3%0%6
87.6%70.1%9.9%14.7%0%5.3%0%7
89.3%71.3%8.5%14.7%0%5.4%0%8
90.5%72.3%7.5%14.7%0%5.4%0%9
92.1%73.5%6.3%14.7%0%5.5%0%10
93.5%74.7%5.2%14.7%0%5.5%0%11
94.1%75.1%4.7%14.7%0%5.5%0%12
Compiler

Compiled 1 482 to 800 computations (46% saved)

sample1.7s (2%)

Memory
162.2MiB live, 603.7MiB allocated
Samples
866.0ms12 580×0valid
201.0ms867×1valid
99.0ms302×2valid
52.0ms156×0invalid
46.0ms360×0exit
8.0ms31×3valid
Precisions
Click to see histograms. Total time spent on operations: 985.0ms
ival-mult: 255.0ms (25.9% of total)
ival-add: 113.0ms (11.5% of total)
const: 101.0ms (10.3% of total)
ival-div: 80.0ms (8.1% of total)
ival-exp: 68.0ms (6.9% of total)
adjust: 53.0ms (5.4% of total)
ival-hypot: 48.0ms (4.9% of total)
ival-sub: 43.0ms (4.4% of total)
ival-log: 39.0ms (4% of total)
ival-asin: 28.0ms (2.8% of total)
ival-cos: 22.0ms (2.2% of total)
ival-sin: 22.0ms (2.2% of total)
ival-sqrt: 19.0ms (1.9% of total)
ival-atan2: 17.0ms (1.7% of total)
exact: 11.0ms (1.1% of total)
ival-pow: 9.0ms (0.9% of total)
ival-sinu: 8.0ms (0.8% of total)
ival-true: 7.0ms (0.7% of total)
ival->: 7.0ms (0.7% of total)
ival-pi: 6.0ms (0.6% of total)
ival-acosh: 6.0ms (0.6% of total)
ival-assert: 5.0ms (0.5% of total)
ival-neg: 5.0ms (0.5% of total)
ival-<=: 4.0ms (0.4% of total)
ival-fabs: 4.0ms (0.4% of total)
ival-and: 2.0ms (0.2% of total)
ival-cosu: 2.0ms (0.2% of total)
ival->=: 2.0ms (0.2% of total)
Bogosity

simplify1.3s (1.5%)

Memory
-53.5MiB live, 972.5MiB allocated
Algorithm
53×egg-herbie
Stop Event
53×saturated

prune54.0ms (0.1%)

Memory
-21.0MiB live, 26.3MiB allocated
Compiler

Compiled 2 464 to 1 298 computations (47.3% saved)

soundness16.0ms (0%)

Memory
-2.0MiB live, 10.4MiB allocated
Stop Event
53×fuel
Compiler

Compiled 1 223 to 645 computations (47.3% saved)

eval4.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Compiler

Compiled 0 to 113 computations (-∞% saved)

start2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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