Herbie run

Date:Saturday, August 26th, 2023
Commit:5f639494 on main
Hostname:nightly with Racket 8.6
Seed:2023238
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: 7.4min)

localize3.5min (47%)

Results
Compiler

Compiled 37582 to 20026 computations (46.7% saved)

sample1.0min (13.6%)

Results
57.8s206400×body256valid
1.6s8298×body256invalid
685.0ms2144×body256precondition
Bogosity

soundness44.2s (9.9%)

Rules
175742×fma-def
142470×associate-*r*
109616×times-frac
108052×associate-*l*
92410×log-prod
Stop Event
14×saturated
268×node limit
Compiler

Compiled 35124 to 21587 computations (38.5% saved)

eval39.1s (8.8%)

Compiler

Compiled 2046799 to 1289531 computations (37% saved)

regimes25.1s (5.6%)

Counts
7039 → 296
Calls

115 calls:

1.0s
uy
991.0ms
ux
907.0ms
cosTheta_i
900.0ms
maxCos
819.0ms
x
Compiler

Compiled 127751 to 75504 computations (40.9% saved)

simplify22.5s (5%)

Algorithm
146×egg-herbie
Rules
107380×fma-def
73786×associate-*r*
62900×times-frac
57726×associate-*l*
48424×*-commutative
Stop Event
unsound
34×saturated
24×fuel
111×node limit
Counts
44767 → 37580
Compiler

Compiled 5005 to 3597 computations (28.1% saved)

prune18.1s (4.1%)

Counts
65272 → 3282
Compiler

Compiled 246855 to 176714 computations (28.4% saved)

rewrite11.2s (2.5%)

Algorithm
97×batch-egg-rewrite
Rules
70188×pow1
66550×add-exp-log
66376×log1p-expm1-u
66348×expm1-log1p-u
66274×add-log-exp
Stop Event
97×node limit
Counts
1171 → 22933

preprocess6.0s (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 11454 to 7062 computations (38.3% saved)

series5.3s (1.2%)

Counts
1171 → 21809
Calls

5754 calls:

TimeVariablePointExpression
96.0ms
s
@0
(*.f32 s (*.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
87.0ms
h
@0
(/.f32 h (pow.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_O))))) 1/4))
81.0ms
r
@0
(log.f32 (/.f32 1 (exp.f32 (/.f32 r (*.f32 3 s)))))
74.0ms
uy
@inf
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 1 (pow.f32 (fma.f32 ux maxCos (-.f32 1 ux)) 2)))))) 1)
73.0ms
u2
@inf
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))

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

Compiled 1402 to 1021 computations (27.2% saved)

end4.0ms (0%)

Profiling

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