Herbie run

Date:Friday, June 16th, 2023
Commit:b22679c1 on main
Hostname:nightly with Racket 8.6
Seed:2023167
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: 7.3min)

localize3.4min (46%)

Results
Compiler

Compiled 36109 to 18965 computations (47.5% saved)

sample1.0min (14%)

Results
59.1s206400×body256valid
1.5s8395×body256invalid
781.0ms2075×body256precondition
Bogosity

soundness44.9s (10.2%)

Rules
205844×fma-def
124058×associate-*r*
107246×associate-*l*
101066×times-frac
95780×log-prod
Stop Event
unsound
13×saturated
259×node limit
Compiler

Compiled 29684 to 18020 computations (39.3% saved)

eval42.9s (9.8%)

Compiler

Compiled 2247319 to 1383332 computations (38.4% saved)

regimes21.6s (4.9%)

Counts
6170 → 296
Calls

115 calls:

833.0ms
u1
783.0ms
cosTheta_i
757.0ms
x
688.0ms
s
678.0ms
v
Compiler

Compiled 105570 to 61710 computations (41.5% saved)

simplify21.4s (4.9%)

Algorithm
146×egg-herbie
Rules
113082×fma-def
75158×associate-*r*
65268×associate-*l*
54016×times-frac
46932×log-prod
Stop Event
unsound
34×saturated
24×fuel
111×node limit
Counts
44169 → 38214
Compiler

Compiled 4718 to 3381 computations (28.3% saved)

prune19.4s (4.4%)

Counts
70641 → 3238
Compiler

Compiled 244447 to 174871 computations (28.5% saved)

rewrite11.0s (2.5%)

Algorithm
97×batch-egg-rewrite
Rules
67900×pow1
64354×add-exp-log
64178×log1p-expm1-u
64150×expm1-log1p-u
64104×add-log-exp
Stop Event
97×node limit
Counts
1153 → 23000

analyze4.8s (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)

series4.5s (1%)

Counts
1153 → 21144
Calls

5685 calls:

TimeVariablePointExpression
71.0ms
r
@0
(-.f32 (/.f32 1/4 (*.f32 s (*.f32 (PI.f32) r))) (/.f32 1/6 (*.f32 (PI.f32) (*.f32 s s))))
67.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
66.0ms
x
@0
(log.f32 (+.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) 2))
57.0ms
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))))
53.0ms
s
@0
(*.f32 s (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))

preprocess2.8s (0.6%)

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)

end2.4s (0.5%)

Compiler

Compiled 9758 to 5726 computations (41.3% saved)

bsearch17.0ms (0%)

Algorithm
25×left-value
33×binary-search
Stop Event
33×narrow-enough
Compiler

Compiled 1315 to 969 computations (26.3% saved)

Profiling

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