Herbie run

Date:Tuesday, June 20th, 2023
Commit:2052806f on main
Hostname:nightly with Racket 8.6
Seed:2023171
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

Details

Time bar (total: 8.6min)

sample2.3min (27.2%)

Results
57.0s365100×body256valid
53.0s7707×body8192exit
9.3s65164×body256infinite
7.6s16034×body1024valid
4.7s8228×body1024infinite
2.2s8759×body512valid
1.5s3858×body512infinite
1.4s2227×body2048valid
902.0ms4637×body256invalid
715.0ms4941×body256unsamplable
533.0ms1101×body4096valid
149.0ms158×body2048infinite
Bogosity

eval1.3min (15.3%)

Compiler

Compiled 3483798 to 2208405 computations (36.6% saved)

localize1.3min (15%)

Compiler

Compiled 48357 to 26079 computations (46.1% saved)

soundness1.2min (13.9%)

Rules
265598×fma-def
161136×associate-*r*
142862×log-prod
127842×*-commutative
124848×associate-*l*
Stop Event
unsound
20×saturated
374×node limit
Compiler

Compiled 43016 to 24302 computations (43.5% saved)

simplify40.4s (7.9%)

Algorithm
275×egg-herbie
Rules
166956×fma-def
93210×associate-*r*
87562×fma-neg
83248×log-prod
79060×associate-*l*
Stop Event
unsound
84×saturated
23×done
34×fuel
188×node limit
Counts
62081 → 55514
Compiler

Compiled 12811 to 8088 computations (36.9% saved)

regimes27.0s (5.3%)

Counts
7308 → 923
Calls

128 calls:

3.1s
y.im
2.7s
im
2.7s
y.re
2.3s
x.im
1.9s
x.re
Compiler

Compiled 119746 to 64402 computations (46.2% saved)

prune23.4s (4.6%)

Counts
82441 → 3167
Compiler

Compiled 228454 to 158535 computations (30.6% saved)

rewrite19.6s (3.8%)

Algorithm
161×batch-egg-rewrite
Rules
102860×pow1
98074×add-exp-log
97848×log1p-expm1-u
97820×expm1-log1p-u
95746×add-log-exp
Stop Event
unsound
158×node limit
Counts
1286 → 36872

bsearch13.0s (2.5%)

Algorithm
482×binary-search
39×left-value
Stop Event
461×narrow-enough
21×predicate-same
Results
7.1s40185×body256valid
1.3s8648×body256infinite
1.2s2551×body1024infinite
1.0s1912×body1024valid
603.0ms1596×body512infinite
373.0ms1319×body512valid
252.0ms554×body2048valid
214.0ms522×body4096valid
11.0msbody2048infinite
Compiler

Compiled 100997 to 72362 computations (28.4% saved)

series9.4s (1.8%)

Counts
1286 → 25152
Calls

6504 calls:

TimeVariablePointExpression
963.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))) 6) 1/6)
740.0ms
x
@0
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))) 6) 1/6) 3) 1/3)
262.0ms
base
@inf
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
165.0ms
wj
@inf
(/.f64 x (exp.f64 wj))
96.0ms
u1
@-inf
(log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

end7.6s (1.5%)

Compiler

Compiled 27858 to 14972 computations (46.3% saved)

preprocess4.3s (0.8%)

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)

analyze1.9s (0.4%)

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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