Herbie run

Date:Saturday, January 20th, 2024
Commit:4a418bc7 on main
Hostname:nightly with Racket 8.6
Seed:2024020
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: 9.5min)

sample2.8min (29.9%)

Results
1.2min7893×body8192exit
1.1min372790×body256valid
13.1s72572×body256infinite
6.8s10677×body1024valid
4.1s4446×body512infinite
2.6s7126×body512valid
1.7s6589×body256unsamplable
1.3s1930×body2048valid
709.0ms1070×body4096valid
234.0ms512×body256invalid
77.0ms72×body1024infinite
Bogosity

localize1.4min (15.2%)

Compiler

Compiled 44281 to 24591 computations (44.5% saved)

soundness1.4min (14.4%)

Rules
218799×fma-def
118579×associate-*r*
110370×times-frac
105148×associate-*l*
102164×log-prod
Stop Event
10×unsound
17×saturated
331×node limit
Compiler

Compiled 34178 to 19777 computations (42.1% saved)

eval59.8s (10.5%)

Compiler

Compiled 2790789 to 1788915 computations (35.9% saved)

simplify42.2s (7.4%)

Algorithm
212×egg-herbie
Rules
107648×fma-def
76737×log-prod
70481×associate-*r*
65818×associate-*l*
63710×*-commutative
Stop Event
unsound
58×saturated
23×done
34×fuel
146×node limit
Counts
61540 → 53817
Compiler

Compiled 11542 to 7004 computations (39.3% saved)

rewrite31.4s (5.5%)

Algorithm
155×batch-egg-rewrite
Rules
92896×log1p-expm1-u
70641×expm1-log1p-u
52341×prod-diff
52325×expm1-udef
51674×log1p-udef
Stop Event
unsound
151×node limit
Counts
1224 → 39179

regimes28.0s (4.9%)

Counts
5959 → 765
Calls

130 calls:

4.2s
y.im
3.8s
y.re
2.8s
x.im
2.2s
x.re
1.5s
x
Compiler

Compiled 93936 to 53970 computations (42.5% saved)

prune22.5s (3.9%)

Counts
78488 → 2608
Compiler

Compiled 187624 to 132093 computations (29.6% saved)

preprocess22.3s (3.9%)

Algorithm
57×egg-herbie
Rules
62146×fma-def
21928×distribute-lft-in
21764×fma-neg
21538×distribute-rgt-in
20904×sub-neg
Stop Event
21×saturated
36×node limit
Compiler

Compiled 41754 to 21983 computations (47.4% saved)

bsearch12.8s (2.2%)

Algorithm
365×binary-search
41×left-value
Stop Event
354×narrow-enough
11×predicate-same
Results
7.8s33408×body256valid
2.1s2737×body512infinite
1.1s4789×body256infinite
413.0ms741×body2048valid
379.0ms880×body512valid
148.0ms485×body1024valid
101.0ms199×body4096valid
27.0ms25×body1024infinite
Compiler

Compiled 88310 to 60643 computations (31.3% saved)

series8.8s (1.5%)

Counts
1224 → 22361
Calls

6177 calls:

TimeVariablePointExpression
347.0ms
base
@inf
(log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))
136.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1/9 a)))
132.0ms
x
@inf
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) 2) (neg.f64 (pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/6) 2)) (*.f64 (PI.f64) 1/2))
110.0ms
re
@-inf
(*.f64 (*.f64 -2 im) (cos.f64 re))
97.0ms
u1
@-inf
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)

analyze3.3s (0.6%)

Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
55.6%48%38.3%13.7%0%0%0%1
64.1%54.2%30.4%13.7%0%1.7%0%2
72%59%23%13.7%0%4.3%0%3
77.8%62.3%17.8%13.7%0%6.2%0%4
83.7%67%13%13.7%0%6.3%0%5
85.9%68.4%11.2%13.7%0%6.6%0%6
88.3%70.3%9.3%13.7%0%6.6%0%7
90%71.6%8%13.7%0%6.8%0%8
91.2%72.5%7%13.7%0%6.8%0%9
92.6%73.6%5.9%13.7%0%6.8%0%10
94%74.7%4.8%13.7%0%6.8%0%11
94.5%75.1%4.4%13.7%0%6.9%0%12
Compiler

Compiled 1558 to 1007 computations (35.4% saved)

end17.0ms (0%)

Profiling

Loading profile data...