Herbie run

Date:Thursday, July 27th, 2023
Commit:7791686b on docs-link-fix
Hostname:nightly with Racket 8.6
Seed:2023208
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

Time bar (total: 6.8min)

localize3.0min (44.5%)

Compiler

Compiled 35789 to 18349 computations (48.7% saved)

sample1.0min (14.7%)

Results
57.5s206400×body256valid
1.7s8254×body256invalid
850.0ms2051×body256precondition
Bogosity

soundness41.2s (10%)

Rules
188822×fma-def
125922×associate-*r*
106928×associate-*l*
92984×log-prod
90426×times-frac
Stop Event
12×saturated
253×node limit
Compiler

Compiled 27896 to 16424 computations (41.1% saved)

eval38.6s (9.4%)

Compiler

Compiled 2062469 to 1277278 computations (38.1% saved)

regimes21.7s (5.3%)

Counts
6132 → 288
Calls

124 calls:

853.0ms
x
803.0ms
uy
768.0ms
maxCos
727.0ms
ux
677.0ms
(*.f32 x (PI.f32))
Compiler

Compiled 110493 to 62014 computations (43.9% saved)

simplify20.7s (5%)

Algorithm
145×egg-herbie
Rules
109568×fma-def
67652×associate-*r*
57242×associate-*l*
53496×times-frac
52038×log-prod
Stop Event
done
35×saturated
24×fuel
110×node limit
Counts
42803 → 36819
Compiler

Compiled 5010 to 3587 computations (28.4% saved)

prune19.5s (4.7%)

Counts
64426 → 3213
Compiler

Compiled 242172 to 172866 computations (28.6% saved)

rewrite10.3s (2.5%)

Algorithm
95×batch-egg-rewrite
Rules
65282×pow1
64126×add-sqr-sqrt
61698×add-exp-log
61576×log1p-expm1-u
61548×expm1-log1p-u
Stop Event
95×node limit
Counts
1102 → 22617

preprocess5.9s (1.4%)

Algorithm
25×egg-herbie
Rules
41198×fma-def
13988×fma-neg
12828×unsub-neg
12398×distribute-lft-in
12210×div-sub
Stop Event
saturated
22×node limit
Compiler

Compiled 11852 to 7172 computations (39.5% saved)

series5.5s (1.3%)

Counts
1102 → 20161
Calls

5388 calls:

TimeVariablePointExpression
130.0ms
s
@-inf
(log.f32 (/.f32 1 (exp.f32 (/.f32 s (PI.f32)))))
110.0ms
s
@0
(log.f32 (/.f32 1 (exp.f32 (/.f32 s (PI.f32)))))
78.0ms
x
@0
(log.f32 (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2)) s))
73.0ms
s
@inf
(/.f32 1 (+.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2)))
68.0ms
sinTheta_O
@-inf
(cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))

analyze4.1s (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)

bsearch20.0ms (0%)

Algorithm
30×binary-search
26×left-value
Stop Event
30×narrow-enough
Compiler

Compiled 1145 to 850 computations (25.8% saved)

end5.0ms (0%)

Profiling

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