Herbie run

Date:Wednesday, January 24th, 2024
Commit:34547557 on faster-timeline-start
Hostname:nightly with Racket 8.6
Seed:2024024
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: 10.9min)

localize3.0min (28%)

Compiler

Compiled 102873 to 26191 computations (74.5% saved)

sample1.6min (14.5%)

Results
1.5min247680×256valid
1.9s8505×256invalid
827.0ms2072×256precondition
Bogosity

soundness1.4min (13.3%)

Rules
97744×fma-def
55880×associate-*r*
52810×log1p-expm1-u
51416×times-frac
42732×expm1-log1p-u
Stop Event
saturated
279×node limit
Compiler

Compiled 38508 to 19485 computations (49.4% saved)

eval1.3min (12.3%)

Compiler

Compiled 8022021 to 2235251 computations (72.1% saved)

simplify44.5s (6.8%)

Algorithm
147×egg-herbie
Rules
48029×fma-def
31903×associate-*r*
29450×times-frac
26768×*-commutative
26079×associate-*l*
Stop Event
30×saturated
done
28×fuel
117×node limit
Counts
64367 → 48370
Compiler

Compiled 7694 to 4753 computations (38.2% saved)

regimes34.2s (5.2%)

Counts
6760 → 319
Calls

145 calls:

1.9s
alpha
1.7s
(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))
1.0s
(*.f32 uy 2)
992.0ms
s
991.0ms
uy
Compiler

Compiled 165529 to 81378 computations (50.8% saved)

analyze32.1s (4.9%)

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)

prune29.3s (4.5%)

Counts
96692 → 3475
Compiler

Compiled 373916 to 218164 computations (41.7% saved)

preprocess28.8s (4.4%)

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 57062 to 24866 computations (56.4% saved)

rewrite24.5s (3.8%)

Algorithm
117×batch-egg-rewrite
Rules
53497×log1p-expm1-u
43819×expm1-log1p-u
31248×add-exp-log
30837×pow1
30596×add-log-exp
Stop Event
117×node limit
Counts
1312 → 32492

series15.3s (2.3%)

Counts
1312 → 31875
Calls

7986 calls:

TimeVariablePointExpression
322.0ms
h
@-inf
(pow.f32 (cbrt.f32 (sqrt.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v)) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v)) 2)))) 3)
292.0ms
dY.v
@-inf
(pow.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 dX.u (floor.f32 w)) (*.f32 dX.v (floor.f32 h))) 2) (pow.f32 (*.f32 (floor.f32 h) dY.v) 2)) -1/2)
288.0ms
eta
@-inf
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 eta eta (/.f32 (pow.f32 sinTheta_O 2) (sqrt.f32 (+.f32 (pow.f32 sinTheta_O 2) 1))))) h) -1)
277.0ms
dX.u
@inf
(log.f32 (fmax.f32 (pow.f32 (*.f32 dX.u (floor.f32 w)) 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)))
275.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))

bsearch28.0ms (0%)

Algorithm
31×left-value
35×binary-search
Stop Event
35×narrow-enough
Compiler

Compiled 2357 to 1501 computations (36.3% saved)

end8.0ms (0%)

Profiling

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