Herbie run

Date:Thursday, August 17th, 2023
Commit:1987babf on main
Hostname:nightly with Racket 8.6
Seed:2023229
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: 7.1min)

localize3.1min (43%)

Compiler

Compiled 36224 to 18438 computations (49.1% saved)

sample59.9s (14%)

Results
57.3s206400×body256valid
1.5s8020×body256invalid
670.0ms2070×body256precondition
Bogosity

eval49.3s (11.5%)

Compiler

Compiled 2647034 to 1596009 computations (39.7% saved)

soundness41.3s (9.6%)

Rules
193760×fma-def
123766×associate-*r*
117180×associate-*l*
103888×times-frac
74734×log-prod
Stop Event
unsound
13×saturated
244×node limit
Compiler

Compiled 29163 to 17808 computations (38.9% saved)

regimes22.5s (5.3%)

Counts
6328 → 287
Calls

124 calls:

971.0ms
s
792.0ms
v
744.0ms
x
718.0ms
uy
701.0ms
ux
Compiler

Compiled 114084 to 66245 computations (41.9% saved)

simplify22.1s (5.2%)

Algorithm
147×egg-herbie
Rules
111468×fma-def
73790×associate-*r*
67630×associate-*l*
61786×times-frac
49364×*-commutative
Stop Event
done
unsound
35×saturated
24×fuel
111×node limit
Counts
45497 → 38566
Compiler

Compiled 5242 to 3736 computations (28.7% saved)

prune21.6s (5%)

Counts
73462 → 3219
Compiler

Compiled 250287 to 177224 computations (29.2% saved)

rewrite11.3s (2.6%)

Algorithm
97×batch-egg-rewrite
Rules
67612×pow1
64000×add-exp-log
63822×log1p-expm1-u
63800×expm1-log1p-u
63708×add-log-exp
Stop Event
97×node limit
Counts
1140 → 23975

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 12712 to 7784 computations (38.8% saved)

series5.7s (1.3%)

Counts
1140 → 21497
Calls

5616 calls:

TimeVariablePointExpression
113.0ms
s
@0
(*.f32 s (-.f32 (exp.f32 (log1p.f32 (*.f32 -3 (log1p.f32 (-.f32 1/3 (/.f32 u 3/4)))))) 1))
77.0ms
sinTheta_O
@inf
(/.f32 (/.f32 1/2 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v (sinh.f32 (/.f32 1 v))))
76.0ms
sinTheta_i
@inf
(sqrt.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))))
62.0ms
cosTheta_i
@inf
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 1 v)) (*.f32 (*.f32 v 2) v)) (exp.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))))
61.0ms
u2
@-inf
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)

analyze4.6s (1.1%)

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)

bsearch14.0ms (0%)

Algorithm
18×left-value
36×binary-search
Stop Event
36×narrow-enough
Compiler

Compiled 1210 to 899 computations (25.7% saved)

end4.0ms (0%)

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