Herbie run

Date:Saturday, June 10th, 2023
Commit:6556c1d6 on main
Hostname:nightly with Racket 8.6
Seed:2023161
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: 9.7min)

localize3.7min (38.3%)

Results
Compiler

Compiled 37098 to 20757 computations (44% saved)

eval1.3min (13.4%)

Compiler

Compiled 3247724 to 2031243 computations (37.5% saved)

sample1.1min (11.5%)

Results
1.1min206400×body256valid
1.7s8349×body256invalid
757.0ms2140×body256precondition
Bogosity

simplify49.7s (8.5%)

Algorithm
453×egg-herbie
Rules
332880×fma-def
220148×log-prod
209844×unswap-sqr
199608×associate-*r*
189764×times-frac
Stop Event
unsound
34×saturated
24×fuel
418×node limit
Counts
64148 → 78377
Compiler

Compiled 5078 to 3712 computations (26.9% saved)

soundness47.9s (8.2%)

Rules
226324×fma-def
174256×log-prod
130256×associate-*r*
110132×associate-*l*
94594×unswap-sqr
Stop Event
15×saturated
303×node limit
Compiler

Compiled 39213 to 24685 computations (37% saved)

rewrite38.2s (6.6%)

Algorithm
404×batch-egg-rewrite
Rules
356670×log-prod
206292×pow1
196134×expm1-udef
193658×add-exp-log
193450×log1p-expm1-u
Stop Event
404×node limit
Counts
1091 → 43037

prune31.0s (5.3%)

Counts
99539 → 3601
Compiler

Compiled 162293 to 115584 computations (28.8% saved)

regimes30.2s (5.2%)

Counts
7913 → 315
Calls

115 calls:

1.2s
uy
1.2s
cosTheta_i
1.1s
ux
1.0s
maxCos
1.0s
(*.f32 (*.f32 uy 2) (PI.f32))
Compiler

Compiled 130351 to 77907 computations (40.2% saved)

series6.4s (1.1%)

Counts
1091 → 21086
Calls

5838 calls:

TimeVariablePointExpression
264.0ms
x
@-inf
(fma.f32 -1/6 (*.f32 (*.f32 (fma.f32 tau tau 1) (pow.f32 (PI.f32) 2)) (*.f32 x x)) 1)
113.0ms
s
@0
(*.f32 (-.f32 (log1p.f32 (*.f32 (*.f32 u u) -16)) (log1p.f32 (*.f32 u 4))) (neg.f32 s))
96.0ms
x
@-inf
(log.f32 (*.f32 s (+.f32 (exp.f32 (/.f32 x s)) 3)))
77.0ms
s
@0
(*.f32 -3 (*.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
72.0ms
s
@0
(log.f32 (+.f32 (/.f32 1 (fma.f32 (-.f32 1 u) 1/2 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))

analyze4.9s (0.8%)

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 (0.5%)

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)

end2.8s (0.5%)

Compiler

Compiled 10108 to 6124 computations (39.4% saved)

bsearch15.0ms (0%)

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

Compiled 1288 to 937 computations (27.3% saved)

Profiling

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