Herbie run

Date:Friday, December 6th, 2024
Commit:90a62de0 on bhargav-bigfloat
Hostname:nightly with Racket 8.10
Seed:2024341
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: 6.4min)

explain6.2min (96.9%)

Memory
134.1MiB live, 201 162.8MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11530
-.f64#fcancellation7570
/.f64#fo/o6690
/.f64#fo/n1990
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)))sensitivity1820
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)))sensitivity1820
+.f64#fcancellation1501
sqrt.f64#fuflow-rescue1430
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1220
(*.f32 x x)overflow122
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow122
-.f64#fnan-rescue1020
/.f64#fn/o950
*.f64(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)n*u590
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u510
(*.f64 (*.f64 i i) (*.f64 i i))underflow78
(*.f64 i i)underflow102
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow51
+.f64#fnan-rescue430
/.f64#fu/n330
*.f64#fn*o330
/.f64#fn/u70
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue30
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow3
(*.f32 x x)overflow122
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow122
pow.f64(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)))sensitivity11
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)))cancellation10
Confusion
Predicted +Predicted -
+321846
-20510099
Precision
0.9401110137306457
Recall
0.9859068627450981
Confusion?
Predicted +Predicted MaybePredicted -
+3218145
-205110098
Precision?
0.9398540145985401
Recall?
0.9862132352941176
Freqs
test
numberfreq
010145
12863
2558
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+3400
-0019
Precision?
1.0
Recall?
1.0
Total Time
1639.990234375
Average Time
0.1208719217552329
Samples
1.4min1 091 520×0valid
31.4s88 470×1valid
17.8s37 440×2valid
1.1s3 330×3valid
149.0ms360×5exit
Compiler

Compiled 854 865 to 126 360 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6min
ival-mult: 26.8s (28% of total)
ival-add: 11.6s (12.1% of total)
ival-div: 7.5s (7.8% of total)
const: 7.4s (7.7% of total)
ival-exp: 6.5s (6.8% of total)
adjust: 6.3s (6.5% of total)
ival-log: 5.0s (5.2% of total)
ival-hypot: 4.5s (4.7% of total)
ival-sub: 4.2s (4.3% of total)
ival-asin: 3.1s (3.2% of total)
ival-sin: 2.4s (2.5% of total)
ival-cos: 2.0s (2.1% of total)
ival-sqrt: 1.9s (2% of total)
ival-atan2: 1.8s (1.8% of total)
ival-true: 981.0ms (1% of total)
ival-pow: 889.0ms (0.9% of total)
exact: 727.0ms (0.8% of total)
ival-pi: 557.0ms (0.6% of total)
ival-neg: 483.0ms (0.5% of total)
ival-fabs: 461.0ms (0.5% of total)
ival-assert: 443.0ms (0.5% of total)
ival-sinu: 268.0ms (0.3% of total)
ival-cosu: 235.0ms (0.2% of total)

preprocess7.1s (1.8%)

Memory
-3.7MiB live, 1 169.4MiB 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 (0.5%)

Memory
11.1MiB live, 586.9MiB 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 (0.4%)

Memory
28.6MiB live, 585.1MiB allocated
Samples
911.0ms12 785×0valid
131.0ms649×1valid
107.0ms317×2valid
61.0ms373×0exit
45.0ms138×0invalid
8.0ms32×3valid
Precisions
Click to see histograms. Total time spent on operations: 978.0ms
ival-mult: 254.0ms (26% of total)
ival-add: 112.0ms (11.4% of total)
const: 101.0ms (10.3% of total)
ival-div: 85.0ms (8.7% of total)
ival-exp: 67.0ms (6.8% of total)
ival-hypot: 48.0ms (4.9% of total)
ival-sub: 44.0ms (4.5% of total)
ival-log: 44.0ms (4.5% of total)
ival-asin: 34.0ms (3.5% of total)
adjust: 28.0ms (2.9% of total)
ival-sin: 22.0ms (2.2% of total)
ival-cos: 21.0ms (2.1% of total)
ival-sqrt: 20.0ms (2% of total)
ival-atan2: 16.0ms (1.6% of total)
ival-pow: 11.0ms (1.1% of total)
exact: 11.0ms (1.1% of total)
ival-pi: 7.0ms (0.7% of total)
ival-true: 7.0ms (0.7% of total)
ival->: 7.0ms (0.7% of total)
ival-acosh: 7.0ms (0.7% of total)
ival-sinu: 7.0ms (0.7% 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-cosu: 3.0ms (0.3% of total)
ival-and: 2.0ms (0.2% of total)
ival->=: 2.0ms (0.2% of total)
Bogosity

simplify1.2s (0.3%)

Memory
-55.3MiB live, 971.1MiB allocated
Algorithm
53×egg-herbie
Stop Event
53×saturated

prune43.0ms (0%)

Memory
-16.3MiB live, 26.3MiB allocated
Compiler

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

soundness16.0ms (0%)

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

Compiled 1 223 to 645 computations (47.3% saved)

eval5.0ms (0%)

Memory
-13.2MiB 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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