Herbie run

Date:Friday, September 15th, 2023
Commit:4716b437 on main
Hostname:nightly with Racket 8.6
Seed:2023258
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: 5.4min)

localize1.2min (23.1%)

Compiler

Compiled 38594 to 20328 computations (47.3% saved)

sample1.1min (19.9%)

Results
1.0min206400×body256valid
1.7s8395×body256invalid
827.0ms2008×body256precondition
Bogosity

soundness45.0s (13.9%)

Rules
166420×fma-def
125072×associate-*r*
117542×associate-*l*
102912×times-frac
98834×log-prod
Stop Event
14×saturated
254×node limit
Compiler

Compiled 30388 to 18427 computations (39.4% saved)

eval42.7s (13.2%)

Compiler

Compiled 2151874 to 1355656 computations (37% saved)

regimes25.0s (7.7%)

Counts
6358 → 277
Calls

124 calls:

1.1s
s
1.1s
x
837.0ms
u1
755.0ms
cosTheta_i
703.0ms
u
Compiler

Compiled 112879 to 65699 computations (41.8% saved)

simplify23.1s (7.1%)

Algorithm
150×egg-herbie
Rules
114558×fma-def
82802×associate-*r*
76806×associate-*l*
62296×times-frac
46756×*-commutative
Stop Event
35×saturated
25×fuel
115×node limit
Counts
43916 → 38996
Compiler

Compiled 4653 to 3389 computations (27.2% saved)

prune20.1s (6.2%)

Counts
63894 → 3322
Compiler

Compiled 251406 to 180553 computations (28.2% saved)

rewrite11.3s (3.5%)

Algorithm
100×batch-egg-rewrite
Rules
73956×pow1
72132×add-sqr-sqrt
70046×add-exp-log
69848×log1p-expm1-u
69824×expm1-log1p-u
Stop Event
100×node limit
Counts
1192 → 21469

preprocess6.1s (1.9%)

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 11026 to 6836 computations (38% saved)

series5.9s (1.8%)

Counts
1192 → 22422
Calls

6033 calls:

TimeVariablePointExpression
257.0ms
s
@0
(*.f32 s (log.f32 3/4))
92.0ms
v
@0
(*.f32 v (log.f32 (+.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))))))
71.0ms
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))))
71.0ms
uy
@inf
(*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (pow.f32 (exp.f32 1/2) (+.f32 (log.f32 ux) (log.f32 (-.f32 2 (*.f32 2 maxCos))))))
65.0ms
s
@0
(*.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u)))))

analyze5.5s (1.7%)

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)

bsearch11.0ms (0%)

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

Compiled 898 to 663 computations (26.2% saved)

end4.0ms (0%)

Profiling

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