Herbie run

Date:Wednesday, July 19th, 2023
Commit:687f458a on main
Hostname:nightly with Racket 8.6
Seed:2023200
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)

localize3.3min (47%)

Results
Compiler

Compiled 35561 to 18255 computations (48.7% saved)

sample1.0min (14.4%)

Results
58.1s206400×body256valid
1.7s8214×body256invalid
830.0ms2117×body256precondition
Bogosity

soundness42.0s (9.9%)

Rules
178412×fma-def
129034×associate-*r*
104002×associate-*l*
100320×log-prod
96696×times-frac
Stop Event
13×saturated
262×node limit
Compiler

Compiled 29771 to 17610 computations (40.8% saved)

eval37.2s (8.8%)

Compiler

Compiled 1983779 to 1228942 computations (38.1% saved)

simplify20.6s (4.9%)

Algorithm
146×egg-herbie
Rules
110494×fma-def
74068×associate-*r*
62932×associate-*l*
57210×times-frac
51392×log-prod
Stop Event
34×saturated
24×fuel
112×node limit
Counts
45524 → 37019
Compiler

Compiled 4504 to 3226 computations (28.4% saved)

regimes19.2s (4.5%)

Counts
5600 → 284
Calls

115 calls:

733.0ms
s
726.0ms
maxCos
703.0ms
ux
673.0ms
cosTheta_i
670.0ms
x
Compiler

Compiled 102885 to 59891 computations (41.8% saved)

prune18.8s (4.4%)

Counts
65519 → 3340
Compiler

Compiled 254140 to 181841 computations (28.4% saved)

rewrite11.1s (2.6%)

Algorithm
97×batch-egg-rewrite
Rules
67884×pow1
64316×add-exp-log
64176×log1p-expm1-u
64150×expm1-log1p-u
64090×add-log-exp
Stop Event
97×node limit
Counts
1167 → 23553

preprocess5.4s (1.3%)

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 10654 to 6448 computations (39.5% saved)

series4.9s (1.2%)

Counts
1167 → 21946
Calls

5850 calls:

TimeVariablePointExpression
117.0ms
u2
@-inf
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
90.0ms
cosTheta
@-inf
(/.f32 (+.f32 (*.f32 cosTheta -3/2) (-.f32 (/.f32 1 cosTheta) 1)) (sqrt.f32 (PI.f32)))
90.0ms
u2
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
82.0ms
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))))
78.0ms
u2
@0
(*.f32 314159265359/50000000000 (*.f32 u2 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))

analyze4.5s (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)

bsearch13.0ms (0%)

Algorithm
35×binary-search
12×left-value
Stop Event
35×narrow-enough
Compiler

Compiled 1151 to 830 computations (27.9% saved)

end3.0ms (0%)

Profiling

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