Herbie run

Date:Friday, August 18th, 2023
Commit:5f639494 on main
Hostname:nightly with Racket 8.6
Seed:2023230
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: 7.0min)

localize3.0min (43.7%)

Compiler

Compiled 36963 to 19144 computations (48.2% saved)

sample59.8s (14.3%)

Results
57.2s206400×body256valid
1.7s8557×body256invalid
662.0ms2060×body256precondition
Bogosity

eval45.5s (10.9%)

Compiler

Compiled 2398787 to 1499156 computations (37.5% saved)

soundness41.1s (9.8%)

Rules
189738×fma-def
119598×associate-*r*
108178×times-frac
93156×associate-*l*
84228×log-prod
Stop Event
12×saturated
253×node limit
Compiler

Compiled 29673 to 18351 computations (38.2% saved)

simplify22.5s (5.4%)

Algorithm
147×egg-herbie
Rules
108924×fma-def
68504×associate-*r*
58468×associate-*l*
55718×times-frac
50730×log-prod
Stop Event
done
35×saturated
24×fuel
112×node limit
Counts
43985 → 37203
Compiler

Compiled 4489 to 3213 computations (28.4% saved)

regimes21.2s (5.1%)

Counts
5286 → 274
Calls

124 calls:

1.0s
cosTheta_i
774.0ms
u2
751.0ms
uy
670.0ms
v
646.0ms
(*.f32 (*.f32 uy 2) (PI.f32))
Compiler

Compiled 98386 to 58250 computations (40.8% saved)

prune18.7s (4.5%)

Counts
67859 → 3158
Compiler

Compiled 252922 to 180650 computations (28.6% saved)

rewrite11.4s (2.7%)

Algorithm
97×batch-egg-rewrite
Rules
68530×pow1
64800×add-exp-log
64638×log1p-expm1-u
64612×expm1-log1p-u
64484×add-log-exp
Stop Event
97×node limit
Counts
1128 → 23028

series6.0s (1.4%)

Counts
1128 → 20932
Calls

5607 calls:

TimeVariablePointExpression
216.0ms
x
@inf
(*.f32 x (PI.f32))
93.0ms
u1
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
84.0ms
v
@0
(*.f32 v (-.f32 0 (log.f32 (/.f32 (-.f32 u (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v)))) (-.f32 (*.f32 u u) (pow.f32 (*.f32 (-.f32 1 u) (exp.f32 (/.f32 -2 v))) 2))))))
79.0ms
x
@inf
(pow.f32 (exp.f32 (/.f32 x s)) -1/2)
64.0ms
s
@0
(*.f32 s (neg.f32 (log.f32 (/.f32 (-.f32 (pow.f32 (+.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))))) -2) 1) (-.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 (1.3%)

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 10724 to 6638 computations (38.1% saved)

analyze4.4s (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)

bsearch16.0ms (0%)

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

Compiled 1412 to 1049 computations (25.7% saved)

end3.0ms (0%)

Profiling

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