Herbie run

Date:Thursday, July 6th, 2023
Commit:45f2bb5c on result-filters
Hostname:nightly with Racket 8.6
Seed:2023187
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: 10.9min)

localize4.1min (37.6%)

Results
Compiler

Compiled 35602 to 18359 computations (48.4% saved)

sample1.6min (14.6%)

Results
1.5min206400×body256valid
2.1s8593×body256invalid
1.4s2152×body256precondition
Bogosity

eval1.3min (11.7%)

Compiler

Compiled 2183919 to 1349389 computations (38.2% saved)

soundness1.2min (11.4%)

Rules
194988×fma-def
119472×times-frac
116658×associate-*l*
116110×associate-*r*
98336×log-prod
Stop Event
13×saturated
270×node limit
Compiler

Compiled 30205 to 18373 computations (39.2% saved)

regimes38.5s (5.9%)

Counts
6232 → 292
Calls

115 calls:

2.2s
x
1.5s
s
1.4s
uy
1.4s
ux
1.3s
maxCos
Compiler

Compiled 105460 to 59931 computations (43.2% saved)

simplify36.1s (5.5%)

Algorithm
146×egg-herbie
Rules
111496×fma-def
67324×associate-*r*
63300×associate-*l*
61002×times-frac
51304×log-prod
Stop Event
unsound
34×saturated
24×fuel
111×node limit
Counts
45620 → 39167
Compiler

Compiled 4832 to 3447 computations (28.7% saved)

prune33.1s (5.1%)

Counts
69624 → 3313
Compiler

Compiled 248601 to 176944 computations (28.8% saved)

rewrite26.5s (4.1%)

Algorithm
97×batch-egg-rewrite
Rules
65922×pow1
64942×add-sqr-sqrt
62450×add-exp-log
62294×log1p-expm1-u
62268×expm1-log1p-u
Stop Event
97×node limit
Counts
1153 → 24072

series11.9s (1.8%)

Counts
1153 → 21523
Calls

5703 calls:

TimeVariablePointExpression
271.0ms
h
@0
(-.f32 (exp.f32 (log1p.f32 (/.f32 h (fma.f32 (/.f32 sinTheta_O (/.f32 eta sinTheta_O)) -1/2 eta)))) 1)
179.0ms
s
@0
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
165.0ms
cosTheta_O
@inf
(cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
147.0ms
sinTheta_O
@-inf
(cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
139.0ms
eta
@inf
(log.f32 (asin.f32 (/.f32 h eta)))

analyze6.4s (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)

preprocess4.7s (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)

end4.2s (0.6%)

Compiler

Compiled 10098 to 5862 computations (41.9% saved)

bsearch20.0ms (0%)

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

Compiled 1158 to 824 computations (28.8% saved)

Profiling

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