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: 39.5s)

explain33.2s (84.1%)

Memory
144.4MiB live, 17 030.4MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation514445
log.f64#fsensitivity7680
+.f64#fcancellation4510
sqrt.f64#foflow-rescue3940
/.f64#fu/n3580
/.f64#fu/u1510
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity341
sqrt.f64#fuflow-rescue280
/.f64(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))n/u200
(*.f64 b eps)underflow143
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))underflow153
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))underflow143
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))underflow228
(*.f64 a eps)underflow153
-.f64#fnan-rescue90
exp.f64#fsensitivity30
cos.f64(cos.f64 (+.f64 x eps))sensitivity20
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o20
(*.f64 x x)overflow66
tan.f64(tan.f64 (+.f64 x eps))sensitivity20
/.f64(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))o/o10
(exp.f64 (*.f64 #s(literal 2 binary64) x))overflow1
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))overflow1
(exp.f64 x)overflow1
(-.f64 (exp.f64 x) #s(literal 1 binary64))overflow1
sin.f64(sin.f64 (+.f64 x eps))sensitivity11
Confusion
Predicted +Predicted -
+4865400
-7171186
Precision
0.8715514152633465
Recall
0.9240265906932573
Confusion?
Predicted +Predicted MaybePredicted -
+48658392
-717371149
Precision?
0.8660031988626267
Recall?
0.9255460588793922
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
01586
14440
2719
3202
4221
Total Confusion?
Predicted +Predicted MaybePredicted -
+2800
-000
Precision?
1.0
Recall?
1.0
Total Time
169.256103515625
Average Time
0.02361273765563965
Samples
8.6s16 680×2valid
5.5s36 312×1valid
2.0s31 944×0valid
712.0ms1 080×3valid
Compiler

Compiled 35 736 to 11 088 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.9s
ival-tan: 3.9s (28.3% of total)
adjust: 2.0s (14.4% of total)
ival-log: 1.0s (7.4% of total)
ival-cos: 998.0ms (7.2% of total)
ival-sin: 850.0ms (6.1% of total)
ival-div: 783.0ms (5.6% of total)
ival-sub: 751.0ms (5.4% of total)
ival-pow: 724.0ms (5.2% of total)
ival-exp: 685.0ms (4.9% of total)
ival-add: 498.0ms (3.6% of total)
ival-mult: 487.0ms (3.5% of total)
ival-log1p: 327.0ms (2.4% of total)
ival-sqrt: 306.0ms (2.2% of total)
ival-expm1: 128.0ms (0.9% of total)
ival-atan: 108.0ms (0.8% of total)
ival-cbrt: 79.0ms (0.6% of total)
ival-neg: 67.0ms (0.5% of total)
ival-true: 58.0ms (0.4% of total)
exact: 44.0ms (0.3% of total)
ival-assert: 30.0ms (0.2% of total)

sample2.8s (7%)

Memory
68.2MiB live, 604.3MiB allocated
Samples
717.0ms1 403×2valid
469.0ms3 038×1valid
469.0ms4 560×0invalid
366.0ms214×5exit
240.0ms2 749×0valid
58.0ms90×3valid
7.0ms121×0exit
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-pow: 358.0ms (18.5% of total)
ival-tan: 337.0ms (17.4% of total)
adjust: 195.0ms (10.1% of total)
ival-mult: 129.0ms (6.7% of total)
const: 103.0ms (5.3% of total)
ival-cos: 97.0ms (5% of total)
ival-log: 88.0ms (4.6% of total)
ival-div: 86.0ms (4.4% of total)
ival-sin: 81.0ms (4.2% of total)
ival-sub: 78.0ms (4% of total)
ival-add: 68.0ms (3.5% of total)
ival-exp: 46.0ms (2.4% of total)
ival-fabs: 45.0ms (2.3% of total)
ival-<=: 39.0ms (2% of total)
ival-expm1: 38.0ms (2% of total)
ival-log1p: 28.0ms (1.4% of total)
ival-sqrt: 27.0ms (1.4% of total)
ival-<: 18.0ms (0.9% of total)
ival-and: 18.0ms (0.9% of total)
exact: 10.0ms (0.5% of total)
ival-fmin: 10.0ms (0.5% of total)
ival-atan: 9.0ms (0.5% of total)
ival-cbrt: 7.0ms (0.4% of total)
ival-neg: 6.0ms (0.3% of total)
ival->: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
ival-true: 2.0ms (0.1% of total)
Bogosity

preprocess1.5s (3.8%)

Memory
42.5MiB live, 291.9MiB allocated
Algorithm
28×egg-herbie
Stop Event
56×iter limit
50×saturated
node limit
Compiler

Compiled 2 986 to 1 901 computations (36.3% saved)

analyze1.3s (3.4%)

Memory
51.5MiB live, 433.3MiB allocated
Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%61.1%38.9%0%0%0%0
7.4%4.5%56.6%38.9%0%0%0%1
22.3%13.6%47.5%38.9%0%0%0%2
40.2%23.5%34.9%38.9%0%2.7%0%3
53.4%31.1%27.2%38.9%0%2.8%0%4
63%36.3%21.3%38.9%0%3.6%0%5
65.9%37.5%19.4%38.9%0%4.2%0%6
70.4%38.8%16.3%38.9%0%6%0%7
73.6%40.2%14.4%38.9%0%6.5%0%8
76.3%40.9%12.7%38.9%0%7.5%0%9
78.4%41.4%11.4%38.9%0%8.3%0%10
81.1%42.4%9.9%38.9%0%8.8%0%11
82.3%42.7%9.2%38.9%0%9.3%0%12
Compiler

Compiled 483 to 337 computations (30.2% saved)

simplify634.0ms (1.6%)

Memory
-71.2MiB live, 505.5MiB allocated
Algorithm
28×egg-herbie
Stop Event
28×saturated

prune30.0ms (0.1%)

Memory
-10.5MiB live, 12.6MiB allocated
Compiler

Compiled 564 to 434 computations (23% saved)

soundness7.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Stop Event
28×fuel
Compiler

Compiled 280 to 215 computations (23.2% saved)

eval2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Compiler

Compiled 0 to 43 computations (-∞% saved)

start1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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