Herbie run

Date:Wednesday, January 3rd, 2024
Commit:61d523c7 on cleanup-reprs
Hostname:nightly with Racket 8.6
Seed:2024003
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: 8.3min)

localize1.8min (21.4%)

Compiler

Compiled 102946 to 25964 computations (74.8% saved)

sample1.4min (16.8%)

Results
1.3min247680×body256valid
1.8s8601×body256invalid
861.0ms2125×body256precondition
Bogosity

eval1.2min (14.6%)

Compiler

Compiled 7358286 to 2031815 computations (72.4% saved)

soundness1.0min (12.5%)

Rules
161268×fma-def
107984×associate-*r*
91352×times-frac
77744×associate-*l*
74102×log-prod
Stop Event
saturated
250×node limit
Compiler

Compiled 38014 to 15114 computations (60.2% saved)

simplify39.9s (8%)

Algorithm
150×egg-herbie
Rules
96096×fma-def
71070×associate-*r*
59118×times-frac
59038×log-prod
54872×associate-*l*
Stop Event
30×saturated
30×fuel
120×node limit
Counts
65029 → 48697
Compiler

Compiled 8169 to 4575 computations (44% saved)

regimes29.9s (6%)

Counts
6335 → 322
Calls

145 calls:

1.4s
s
1.2s
dY.v
883.0ms
(*.f32 (*.f32 uy 2) (PI.f32))
815.0ms
x
774.0ms
ux
Compiler

Compiled 159721 to 75373 computations (52.8% saved)

prune28.4s (5.7%)

Counts
94359 → 3534
Compiler

Compiled 395069 to 225109 computations (43% saved)

analyze27.2s (5.4%)

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)

rewrite19.0s (3.8%)

Algorithm
120×batch-egg-rewrite
Rules
56271×log1p-expm1-u
44003×expm1-log1p-u
42450×expm1-udef
35684×log1p-udef
34170×prod-diff
Stop Event
120×node limit
Counts
1320 → 34668

preprocess17.4s (3.5%)

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 50024 to 23621 computations (52.8% saved)

series11.5s (2.3%)

Counts
1320 → 30361
Calls

7425 calls:

TimeVariablePointExpression
149.0ms
dX.w
@0
(pow.f32 (pow.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 dX.w (floor.f32 d)) (hypot.f32 (*.f32 dX.u (floor.f32 w)) (*.f32 dX.v (floor.f32 h)))) 2) (+.f32 (pow.f32 (*.f32 (floor.f32 w) dY.u) 2) (+.f32 (pow.f32 (*.f32 (floor.f32 h) dY.v) 2) (fma.f32 (pow.f32 dY.w 4) 0 (pow.f32 (*.f32 (floor.f32 d) dY.w) 2))))) 3/2) 1/3)
149.0ms
dX.v
@inf
(pow.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)) -1/2)
129.0ms
dX.u
@-inf
(exp.f32 (log1p.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)))))
118.0ms
s
@0
(*.f32 s (neg.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) (neg.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))
109.0ms
cosTheta_O
@0
(log.f32 (*.f32 1/2 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))

bsearch26.0ms (0%)

Algorithm
26×left-value
53×binary-search
Stop Event
53×narrow-enough
Compiler

Compiled 2719 to 1728 computations (36.4% saved)

end5.0ms (0%)

Profiling

Loading profile data...