Herbie run

Date:Saturday, January 27th, 2024
Commit:72aaa402 on sample-profiles-more
Hostname:nightly with Racket 8.11.1
Seed:2024027
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: 11.8min)

localize4.1min (35%)

Results
Compiler

Compiled 118252 to 29388 computations (75.1% saved)

eval1.6min (13.3%)

Compiler

Compiled 11599102 to 2615360 computations (77.5% saved)

sample1.5min (12.6%)

Results
1.4min247680×256valid
2.1s8458×256invalid
936.0ms2109×256precondition
Bogosity

soundness1.2min (10.5%)

Rules
87620×fma-def
55677×log1p-expm1-u
48113×associate-*r*
43974×times-frac
42330×expm1-log1p-u
Stop Event
252×node limit
Compiler

Compiled 35640 to 16724 computations (53.1% saved)

simplify45.2s (6.4%)

Algorithm
145×egg-herbie
Rules
50907×fma-def
31021×associate-*r*
30156×times-frac
28235×log-prod
24941×*-commutative
Stop Event
29×saturated
116×node limit
29×fuel
Counts
64634 → 46171
Compiler

Compiled 6901 to 4181 computations (39.4% saved)

analyze29.7s (4.2%)

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)

prune28.8s (4.1%)

Counts
108817 → 3463
Compiler

Compiled 259578 to 136668 computations (47.3% saved)

preprocess27.6s (3.9%)

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 53526 to 24614 computations (54% saved)

regimes26.7s (3.8%)

Counts
5936 → 292
Calls

136 calls:

988.0ms
ux
900.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
851.0ms
x
761.0ms
(*.f32 (*.f32 uy 2) (PI.f32))
666.0ms
cosTheta_i
Compiler

Compiled 10392 to 6951 computations (33.1% saved)

rewrite24.2s (3.4%)

Algorithm
116×batch-egg-rewrite
Rules
55444×log1p-expm1-u
42952×expm1-log1p-u
30759×add-exp-log
30404×pow1
29821×add-log-exp
Stop Event
116×node limit
Counts
1281 → 32401

series20.3s (2.9%)

Counts
1281 → 32233
Calls

7830 calls:

TimeVariablePointExpression
1.6s
s
@-inf
(pow.f32 (cbrt.f32 (*.f32 s (neg.f32 (log.f32 (-.f32 (/.f32 1 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 1 (/.f32 1 (*.f32 (*.f32 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 u 2)) (pow.f32 (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) 2))))))))) 3)
957.0ms
dY.w
@-inf
(pow.f32 (fmax.f32 (pow.f32 (*.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)) 1/4)
865.0ms
s
@inf
(pow.f32 (cbrt.f32 (*.f32 s (neg.f32 (log.f32 (-.f32 (/.f32 1 (*.f32 u (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) (+.f32 1 (/.f32 1 (*.f32 (*.f32 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))) (pow.f32 u 2)) (pow.f32 (-.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) 2))))))))) 3)
738.0ms
dY.u
@-inf
(pow.f32 (cbrt.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))) 3/2)
336.0ms
dX.u
@-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)))

bsearch25.0ms (0%)

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

Compiled 2303 to 1482 computations (35.6% saved)

end8.0ms (0%)

Profiling

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