Herbie run

Date:Saturday, December 16th, 2023
Commit:665878db on main
Hostname:nightly with Racket 8.6
Seed:2023350
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: 10.2min)

localize3.9min (38.1%)

Results
Compiler

Compiled 103153 to 25467 computations (75.3% saved)

sample1.3min (12.7%)

Results
1.2min247680×body256valid
1.6s8403×body256invalid
696.0ms2113×body256precondition
Bogosity

soundness1.1min (10.8%)

Rules
186420×fma-def
108616×associate-*r*
98362×log-prod
92484×times-frac
83560×associate-*l*
Stop Event
saturated
270×node limit
Compiler

Compiled 38332 to 17328 computations (54.8% saved)

eval1.1min (10.7%)

Compiler

Compiled 7310595 to 1969466 computations (73.1% saved)

simplify37.7s (6.2%)

Algorithm
146×egg-herbie
Rules
98942×fma-def
60708×associate-*r*
60022×times-frac
56812×log-prod
50392×*-commutative
Stop Event
29×saturated
29×fuel
117×node limit
Counts
63526 → 45950
Compiler

Compiled 6669 to 4153 computations (37.7% saved)

regimes33.1s (5.4%)

Counts
6609 → 294
Calls

136 calls:

2.3s
s
1.8s
(*.f32 alpha alpha)
1.3s
cosTheta_i
962.0ms
ux
835.0ms
x
Compiler

Compiled 154445 to 75770 computations (50.9% saved)

prune26.5s (4.3%)

Counts
91510 → 3691
Compiler

Compiled 401516 to 231544 computations (42.3% saved)

analyze24.5s (4%)

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 1267 computations (52.5% saved)

rewrite18.2s (3%)

Algorithm
117×batch-egg-rewrite
Rules
53037×log1p-expm1-u
42046×expm1-log1p-u
40034×expm1-udef
38042×prod-diff
31596×pow1
Stop Event
unsound
116×node limit
Counts
1311 → 33261

preprocess16.3s (2.7%)

Algorithm
30×egg-herbie
Rules
52752×fma-def
17102×unsub-neg
16200×distribute-lft-neg-in
16198×fma-neg
13978×distribute-lft-in
Stop Event
saturated
27×node limit
Compiler

Compiled 46768 to 22595 computations (51.7% saved)

series14.1s (2.3%)

Counts
1311 → 30265
Calls

7494 calls:

TimeVariablePointExpression
315.0ms
dX.v
@inf
(log.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)))
307.0ms
w
@inf
(pow.f32 (pow.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v)) 2) (pow.f32 (*.f32 (floor.f32 w) dY.u) 2)) 3/2) 1/3)
269.0ms
dX.w
@-inf
(pow.f32 (pow.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) 1/3)
238.0ms
u
@inf
(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
188.0ms
dY.u
@-inf
(pow.f32 (pow.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) 1/3)

bsearch22.0ms (0%)

Algorithm
37×binary-search
16×left-value
Stop Event
37×narrow-enough
Compiler

Compiled 2013 to 1274 computations (36.7% saved)

end5.0ms (0%)

Profiling

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