Herbie run

Date:Wednesday, June 21st, 2023
Commit:2d8b82a6 on redesign-details
Hostname:nightly with Racket 8.6
Seed:2023172
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Details

Time bar (total: 7.1min)

localize3.3min (46.8%)

Results
Compiler

Compiled 36480 to 18846 computations (48.3% saved)

sample1.0min (14.4%)

Results
58.8s206400×body256valid
1.7s8323×body256invalid
859.0ms2178×body256precondition
Bogosity

soundness41.2s (9.6%)

Rules
181120×fma-def
129178×associate-*r*
108162×associate-*l*
95070×times-frac
87022×log-prod
Stop Event
13×saturated
252×node limit
Compiler

Compiled 29840 to 17717 computations (40.6% saved)

eval38.8s (9.1%)

Compiler

Compiled 2045839 to 1260375 computations (38.4% saved)

simplify21.2s (5%)

Algorithm
146×egg-herbie
Rules
117014×fma-def
73874×associate-*r*
69542×associate-*l*
57282×times-frac
45824×*-commutative
Stop Event
34×saturated
24×fuel
112×node limit
Counts
44503 → 39584
Compiler

Compiled 4362 to 3098 computations (29% saved)

regimes19.8s (4.6%)

Counts
5466 → 282
Calls

115 calls:

899.0ms
x
800.0ms
cosTheta_i
778.0ms
u2
636.0ms
u1
635.0ms
s
Compiler

Compiled 92016 to 52772 computations (42.6% saved)

prune18.4s (4.3%)

Counts
66848 → 3204
Compiler

Compiled 236629 to 167829 computations (29.1% saved)

rewrite11.3s (2.6%)

Algorithm
97×batch-egg-rewrite
Rules
70470×pow1
66684×add-exp-log
66520×log1p-expm1-u
66502×expm1-log1p-u
66392×add-log-exp
Stop Event
97×node limit
Counts
1184 → 22771

series5.5s (1.3%)

Counts
1184 → 21707
Calls

5904 calls:

TimeVariablePointExpression
81.0ms
x
@-inf
(log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (pow.f32 (*.f32 (PI.f32) x) 2))))
79.0ms
tau
@inf
(log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (pow.f32 (*.f32 (PI.f32) x) 2))))
77.0ms
alpha
@0
(pow.f32 (*.f32 alpha (sqrt.f32 (log1p.f32 u0))) 2)
68.0ms
u2
@inf
(*.f32 (sqrt.f32 (*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
63.0ms
alpha
@-inf
(log1p.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))))))

analyze4.4s (1%)

Algorithm
25×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3.2%96.8%0%0%0%0
0.4%0%3.1%96.8%0%0%0%1
9.5%0.3%2.9%96.8%0%0%0%2
43.3%1.4%1.8%96.8%0%0%0%3
48.2%1.5%1.6%96.8%0%0%0%4
65.2%2.1%1.1%96.8%0%0%0%5
70.4%2.2%0.9%96.8%0%0.1%0%6
79.1%2.4%0.6%96.8%0%0.1%0%7
81.1%2.5%0.6%96.8%0%0.1%0%8
86.1%2.6%0.4%96.8%0%0.1%0%9
87.6%2.7%0.4%96.9%0%0.1%0%10
91.9%2.8%0.2%96.9%0%0.1%0%11
92.6%2.8%0.2%96.9%0%0.1%0%12
Compiler

Compiled 1220 to 881 computations (27.8% saved)

preprocess2.9s (0.7%)

Algorithm
50×egg-herbie
Rules
27984×fma-def
24740×fma-neg
10180×distribute-lft-in
9786×associate-/l*
9194×distribute-rgt-in
Stop Event
unsound
29×saturated
19×node limit
Compiler

Compiled 738 to 544 computations (26.3% saved)

end2.3s (0.5%)

Compiler

Compiled 8926 to 5200 computations (41.7% saved)

bsearch15.0ms (0%)

Algorithm
37×binary-search
24×left-value
Stop Event
37×narrow-enough
Compiler

Compiled 1260 to 871 computations (30.9% saved)

Profiling

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