Herbie run

Date:Thursday, January 18th, 2024
Commit:24741fd0 on main
Hostname:nightly with Racket 8.6
Seed:2024018
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: 11.5min)

localize4.0min (34.7%)

Results
Compiler

Compiled 106678 to 29980 computations (71.9% saved)

sample1.6min (13.9%)

Results
1.6min247680×body256valid
2.0s8379×body256invalid
724.0ms2013×body256precondition
Bogosity

soundness1.5min (13.1%)

Rules
119410×fma-def
63103×associate-*r*
56141×log1p-expm1-u
54494×times-frac
52434×associate-*l*
Stop Event
saturated
307×node limit
Compiler

Compiled 39894 to 20131 computations (49.5% saved)

eval1.3min (11%)

Compiler

Compiled 8448639 to 2215766 computations (73.8% saved)

simplify44.7s (6.5%)

Algorithm
146×egg-herbie
Rules
49722×fma-def
32262×associate-*r*
30829×times-frac
27916×associate-*l*
27677×log-prod
Stop Event
29×saturated
29×fuel
117×node limit
Counts
67007 → 46479
Compiler

Compiled 8149 to 4709 computations (42.2% saved)

analyze29.7s (4.3%)

Algorithm
30×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.6%97.4%0%0%0%0
0.2%0%2.6%97.4%0%0%0%1
9.3%0.2%2.4%97.4%0%0%0%2
43.2%1.1%1.5%97.4%0%0%0%3
48.1%1.3%1.4%97.4%0%0%0%4
65.1%1.7%0.9%97.4%0%0%0%5
70.3%1.8%0.8%97.4%0%0%0%6
79.1%2%0.5%97.4%0%0%0%7
81.1%2.1%0.5%97.4%0%0.1%0%8
86.1%2.2%0.4%97.4%0%0.1%0%9
87.6%2.2%0.3%97.4%0%0.1%0%10
91.9%2.3%0.2%97.4%0%0.1%0%11
92.6%2.3%0.2%97.4%0%0.1%0%12
Compiler

Compiled 2668 to 1270 computations (52.4% saved)

prune28.5s (4.1%)

Counts
91564 → 3508
Compiler

Compiled 391936 to 224413 computations (42.7% saved)

regimes26.6s (3.8%)

Counts
6859 → 317
Calls

136 calls:

1.2s
s
783.0ms
ux
773.0ms
cosTheta_i
651.0ms
u
650.0ms
dX.u
Compiler

Compiled 168208 to 78681 computations (53.2% saved)

rewrite25.3s (3.7%)

Algorithm
117×batch-egg-rewrite
Rules
52301×log1p-expm1-u
44284×expm1-log1p-u
32019×pow1
31476×add-exp-log
30643×add-log-exp
Stop Event
117×node limit
Counts
1342 → 34103

preprocess19.2s (2.8%)

Algorithm
30×egg-herbie
Rules
26376×fma-def
8550×unsub-neg
8094×distribute-lft-neg-in
8084×fma-neg
6988×distribute-lft-in
Stop Event
saturated
27×node limit
Compiler

Compiled 51218 to 23602 computations (53.9% saved)

series14.6s (2.1%)

Counts
1342 → 32904
Calls

8121 calls:

TimeVariablePointExpression
729.0ms
dY.u
@inf
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cbrt.f32 (fmax.f32 (pow.f32 (*.f32 dX.v (floor.f32 h)) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 d) dY.w) (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v))) 2))))) 1/2))
346.0ms
d
@inf
(log.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 d) dX.w) (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v))) 2) (*.f32 (pow.f32 (floor.f32 w) 2) (pow.f32 dY.u 2))))
328.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 (*.f32 u2 2) (PI.f32))))))
178.0ms
dY.v
@-inf
(log.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 d) dX.w) (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v))) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 d) dY.w) (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v))) 2)))
152.0ms
cosTheta
@0
(/.f32 1 (+.f32 (+.f32 1 c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 1 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

bsearch32.0ms (0%)

Algorithm
42×binary-search
23×left-value
Stop Event
42×narrow-enough
Compiler

Compiled 3148 to 1639 computations (47.9% saved)

end10.0ms (0%)

Profiling

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