Herbie run

Date:Saturday, July 8th, 2023
Commit:1e3c827b on main
Hostname:nightly with Racket 8.6
Seed:2023189
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: 7.5min)

localize3.5min (47.1%)

Results
Compiler

Compiled 39470 to 20160 computations (48.9% saved)

sample59.1s (13.2%)

Results
56.6s206400×body256valid
1.5s8662×body256invalid
729.0ms2190×body256precondition
Bogosity

eval45.9s (10.3%)

Compiler

Compiled 2485384 to 1520012 computations (38.8% saved)

soundness42.3s (9.5%)

Rules
175880×fma-def
131012×associate-*r*
114340×times-frac
108204×associate-*l*
97662×log-prod
Stop Event
13×saturated
267×node limit
Compiler

Compiled 29447 to 17811 computations (39.5% saved)

simplify23.0s (5.1%)

Algorithm
146×egg-herbie
Rules
105012×fma-def
68612×associate-*r*
65682×times-frac
60696×associate-*l*
49554×*-commutative
Stop Event
34×saturated
24×fuel
112×node limit
Counts
42563 → 37208
Compiler

Compiled 4762 to 3409 computations (28.4% saved)

regimes20.9s (4.7%)

Counts
5847 → 296
Calls

115 calls:

921.0ms
x
731.0ms
u2
731.0ms
maxCos
709.0ms
uy
706.0ms
cosTheta_i
Compiler

Compiled 104388 to 59973 computations (42.5% saved)

prune18.8s (4.2%)

Counts
67843 → 3309
Compiler

Compiled 263770 to 187581 computations (28.9% saved)

rewrite10.4s (2.3%)

Algorithm
97×batch-egg-rewrite
Rules
70946×pow1
67076×add-exp-log
66878×log1p-expm1-u
66860×expm1-log1p-u
66776×add-log-exp
Stop Event
97×node limit
Counts
1117 → 21081

series6.1s (1.4%)

Counts
1117 → 21457
Calls

5790 calls:

TimeVariablePointExpression
127.0ms
v
@0
(log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v)))))))
114.0ms
u
@0
(expm1.f32 (+.f32 (neg.f32 (log.f32 u)) (neg.f32 (log.f32 (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))
94.0ms
cosTheta
@0
(*.f32 (/.f32 1 (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 (+.f32 cosTheta cosTheta))) cosTheta)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 (+.f32 cosTheta cosTheta))) cosTheta))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 (+.f32 cosTheta cosTheta))) cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))
69.0ms
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)))))
66.0ms
cosTheta_O
@-inf
(cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 -1 v))))))

analyze4.5s (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)

end2.9s (0.7%)

Compiler

Compiled 9870 to 5742 computations (41.8% saved)

preprocess2.7s (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)

bsearch16.0ms (0%)

Algorithm
53×binary-search
10×left-value
Stop Event
53×narrow-enough
Compiler

Compiled 1178 to 880 computations (25.3% saved)

Profiling

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