Herbie run

Date:Saturday, July 1st, 2023
Commit:1e3c827b on main
Hostname:nightly with Racket 8.6
Seed:2023182
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: 8.1min)

sample2.3min (28.7%)

Results
56.1s365072×body256valid
51.7s7626×body8192exit
9.5s65025×body256infinite
8.1s15844×body1024valid
4.8s8611×body1024infinite
2.8s8766×body512valid
1.7s3656×body512infinite
1.6s2359×body2048valid
745.0ms4472×body256invalid
617.0ms4108×body256unsamplable
488.0ms1116×body4096valid
215.0ms148×body2048infinite
Bogosity

localize1.5min (18%)

Compiler

Compiled 51987 to 28300 computations (45.6% saved)

soundness1.1min (13.5%)

Rules
265736×fma-def
166106×associate-*r*
140184×log-prod
126148×associate-*l*
120774×fma-neg
Stop Event
16×unsound
20×saturated
375×node limit
Compiler

Compiled 40197 to 24350 computations (39.4% saved)

eval55.2s (11.4%)

Compiler

Compiled 2696693 to 1675439 computations (37.9% saved)

simplify37.3s (7.7%)

Algorithm
273×egg-herbie
Rules
161420×fma-def
97134×associate-*r*
84414×associate-*l*
79596×distribute-lft-in
78872×fma-neg
Stop Event
unsound
84×saturated
19×done
38×fuel
183×node limit
Counts
58506 → 52347
Compiler

Compiled 11823 to 7645 computations (35.3% saved)

regimes26.7s (5.5%)

Counts
6943 → 867
Calls

132 calls:

3.9s
im
2.3s
re
1.9s
x.im
1.7s
x
1.5s
y.im
Compiler

Compiled 103503 to 63620 computations (38.5% saved)

prune21.8s (4.5%)

Counts
73507 → 3102
Compiler

Compiled 214152 to 151576 computations (29.2% saved)

rewrite18.7s (3.9%)

Algorithm
159×batch-egg-rewrite
Rules
101502×pow1
96818×add-exp-log
96620×log1p-expm1-u
96602×expm1-log1p-u
93030×add-log-exp
Stop Event
unsound
155×node limit
Counts
1274 → 35290

bsearch11.4s (2.4%)

Algorithm
424×binary-search
41×left-value
Stop Event
401×narrow-enough
23×predicate-same
Results
5.4s30988×body256valid
1.9s12335×body256infinite
1.3s3227×body1024infinite
835.0ms2094×body1024valid
306.0ms1147×body512infinite
298.0ms795×body512valid
172.0ms356×body2048valid
38.0ms92×body4096valid
28.0ms22×body2048infinite
Compiler

Compiled 82304 to 58782 computations (28.6% saved)

series7.6s (1.6%)

Counts
1274 → 23159
Calls

6174 calls:

TimeVariablePointExpression
327.0ms
beta
@-inf
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
153.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
139.0ms
alpha
@0
(*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
128.0ms
beta
@0
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
117.0ms
u1
@-inf
(log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

end7.4s (1.5%)

Compiler

Compiled 26030 to 14614 computations (43.9% saved)

preprocess4.4s (0.9%)

Algorithm
114×egg-herbie
Rules
35032×fma-def
16312×associate-*r*
15382×sqr-pow
15088×distribute-lft-in
14640×distribute-rgt-in
Stop Event
70×saturated
14×unsound
30×node limit
Compiler

Compiled 1510 to 967 computations (36% saved)

analyze2.4s (0.5%)

Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
55.8%48.1%38.2%13.7%0%0%0%1
64.2%54.3%30.3%13.7%0%1.7%0%2
82%67.3%14.7%13.7%0%4.3%0%3
85.4%69.8%11.9%13.7%0%4.5%0%4
90%73.5%8.1%13.7%0%4.6%0%5
91.3%74.3%7.1%13.7%0%4.9%0%6
93.8%75.5%5%13.7%0%5.8%0%7
94.8%76.2%4.2%13.7%0%5.9%0%8
95.2%76.5%3.9%13.7%0%5.9%0%9
96.4%77.1%2.8%13.7%0%6.4%0%10
96.5%77.1%2.8%13.7%0%6.4%0%11
96.7%77.3%2.6%13.7%0%6.4%0%12
Compiler

Compiled 1558 to 994 computations (36.2% saved)

Profiling

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