Herbie run

Date:Saturday, September 9th, 2023
Commit:4716b437 on main
Hostname:nightly with Racket 8.6
Seed:2023252
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: 7.8min)

localize3.6min (46.4%)

Results
Compiler

Compiled 37087 to 19401 computations (47.7% saved)

soundness1.0min (13%)

Rules
203420×fma-def
125032×associate-*r*
124500×times-frac
101168×associate-*l*
92386×log-prod
Stop Event
15×saturated
267×node limit
Compiler

Compiled 32058 to 19621 computations (38.8% saved)

sample59.7s (12.7%)

Results
57.2s206400×body256valid
1.5s8220×body256invalid
710.0ms1992×body256precondition
Bogosity

eval41.6s (8.9%)

Compiler

Compiled 2173688 to 1390792 computations (36% saved)

simplify22.0s (4.7%)

Algorithm
146×egg-herbie
Rules
115104×fma-def
75004×associate-*r*
67328×times-frac
63942×associate-*l*
50198×*-commutative
Stop Event
34×saturated
24×fuel
112×node limit
Counts
44669 → 38710
Compiler

Compiled 4354 to 3141 computations (27.9% saved)

regimes20.3s (4.3%)

Counts
5528 → 279
Calls

115 calls:

1.0s
ux
907.0ms
(/.f32 (-.f32 u 1/4) 3/4)
797.0ms
uy
723.0ms
x
720.0ms
maxCos
Compiler

Compiled 96681 to 57994 computations (40% saved)

prune18.8s (4%)

Counts
63940 → 3254
Compiler

Compiled 257343 to 182949 computations (28.9% saved)

rewrite11.5s (2.5%)

Algorithm
97×batch-egg-rewrite
Rules
70866×pow1
67100×add-exp-log
66928×log1p-expm1-u
66896×expm1-log1p-u
66840×add-log-exp
Stop Event
97×node limit
Counts
1178 → 22286

series6.7s (1.4%)

Counts
1178 → 22358
Calls

6033 calls:

TimeVariablePointExpression
347.0ms
s
@-inf
(pow.f32 (+.f32 3 (exp.f32 (/.f32 x s))) 3)
280.0ms
u1
@-inf
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
90.0ms
uy
@-inf
(log.f32 (pow.f32 (pow.f32 (exp.f32 uy) (PI.f32)) 2))
73.0ms
s
@0
(*.f32 s (neg.f32 (log.f32 (-.f32 (+.f32 -1 (/.f32 -1 (*.f32 u (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))))))) (/.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (*.f32 u (*.f32 u (pow.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 -1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s))))) 2))))))))
70.0ms
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))))

preprocess5.5s (1.2%)

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 10276 to 6260 computations (39.1% saved)

analyze4.4s (0.9%)

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

Compiled 1175 to 858 computations (27% saved)

end4.0ms (0%)

Profiling

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