math.log/2 on complex, imaginary part

Time bar (total: 8.5s)

analyze175.0ms (2.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
33.3%25%49.9%0.1%0%25%0%7
33.3%25%49.9%0.1%0%25%0%8
33.3%25%49.9%0.1%0%25%0%9
60%37.4%25%0.1%0%37.4%0%10
60%37.4%25%0.1%0%37.4%0%11
60%37.4%25%0.1%0%37.4%0%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.4s (27.7%)

Results
1.8s8256×body256valid
322.0ms2069×body256invalid
Bogosity

preprocess171.0ms (2%)

Algorithm
egg-herbie
Rules
1178×fma-neg
886×cancel-sign-sub-inv
820×sub-neg
756×div-sub
728×fma-def
Problems
132×No Errors
119×(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(*.f64 (atan2.f64 im re) (log.f64 base))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086646
1257624
2515376
3960322
41826322
54769322
66879322
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0))))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) 0) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (neg.f64 base)) 1))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im (neg.f64 re))) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 (neg.f64 im) re)) (log.f64 base))
(neg.f64 (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) 0)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (neg.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(/.f64 (/.f64 (atan2.f64 im base) 1) (log.f64 re))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))
Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler

Compiled 42 to 14 computations (66.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.4%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 50 to 30 computations (40% saved)

localize56.0ms (0.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
99.5%
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
99.2%
(*.f64 (log.f64 base) (log.f64 base))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 52 to 14 computations (73.1% saved)

series122.0ms (1.4%)

Counts
4 → 92
Calls

30 calls:

TimeVariablePointExpression
48.0ms
im
@inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
24.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
16.0ms
base
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
11.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))
9.0ms
base
@inf
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite222.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1000×log-prod
924×log1p-expm1-u
924×expm1-log1p-u
426×pow-exp
342×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018115
1197111
22542111
Stop Event
node limit
Counts
4 → 147
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))

simplify107.0ms (1.2%)

Algorithm
egg-herbie
Rules
898×log-prod
750×fma-neg
552×exp-prod
504×cube-prod
464×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03557763
17856597
230826597
Stop Event
node limit
Counts
239 → 175
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (*.f64 2 (log.f64 (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval70.0ms (0.8%)

Compiler

Compiled 2788 to 968 computations (65.3% saved)

prune62.0ms (0.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New15619175
Fresh000
Picked112
Done000
Total15720177
Accuracy
100.0%
Counts
177 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.5%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
99.1%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
98.4%
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
88.6%
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (*.f64 (log.f64 base) (log.f64 base)))
88.6%
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
52.4%
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
54.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.6%
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.5%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
99.1%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
98.4%
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
88.6%
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (*.f64 (log.f64 base) (log.f64 base)))
88.6%
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
52.4%
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
54.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.6%
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 1146 to 756 computations (34% saved)

localize153.0ms (1.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
99.6%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.2%
(cbrt.f64 (log.f64 base))
99.2%
(pow.f64 (cbrt.f64 (log.f64 base)) 2)
99.5%
(*.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.2%
(pow.f64 (log.f64 base) -2)
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.2%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
88.4%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
99.6%
(/.f64 1 (log.f64 base))
99.6%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
99.7%
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.7%
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 153 to 36 computations (76.5% saved)

series297.0ms (3.5%)

Counts
13 → 368
Calls

93 calls:

TimeVariablePointExpression
57.0ms
base
@inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
50.0ms
base
@0
(pow.f64 (cbrt.f64 (log.f64 base)) 2)
37.0ms
re
@0
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
30.0ms
im
@0
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
17.0ms
re
@-inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite180.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1552×prod-diff
778×log1p-expm1-u
510×expm1-udef
510×log1p-udef
264×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030325
1401325
24450325
Stop Event
node limit
Counts
13 → 504
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) 2)
(cbrt.f64 (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
Outputs
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) -1)
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))

simplify309.0ms (3.6%)

Algorithm
egg-herbie
Rules
1618×times-frac
1050×associate-*r*
936×associate-*l*
704×associate-/l*
638×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065327436
1144126844
2782626844
Stop Event
node limit
Counts
872 → 399
Calls
Call 1
Inputs
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(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(fabs.f64 (cbrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 base)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) -1)
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 1/6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 1/6)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (cbrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
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(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))
(/.f64 (atan2.f64 im re) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))
(/.f64 (atan2.f64 im re) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))
(/.f64 (atan2.f64 im re) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))) 1)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 1/6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/6)))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 1/6)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 1/6)))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 3)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 3) 1/3)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 3))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))

eval162.0ms (1.9%)

Compiler

Compiled 9853 to 3828 computations (61.1% saved)

prune126.0ms (1.5%)

Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New62912641
Fresh8614
Picked055
Done011
Total63724661
Accuracy
100.0%
Counts
661 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.3%
(pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
97.3%
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.5%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
50.8%
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
88.6%
(*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))
50.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
98.1%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
50.7%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.3%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
99.2%
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.6%
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.3%
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.3%
(pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
97.3%
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.5%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
50.8%
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
88.6%
(*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))
50.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
98.1%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
50.7%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.3%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
99.2%
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.6%
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.3%
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 1130 to 800 computations (29.2% saved)

localize251.0ms (2.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (log.f64 base) -1/2)
99.9%
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
99.9%
(*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re))
99.9%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.8%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
96.2%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.9%
(sqrt.f64 (log.f64 base))
99.9%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.8%
(pow.f64 (sqrt.f64 (log.f64 base)) -2)
99.9%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.9%
(/.f64 (log.f64 base) (atan2.f64 im re))
99.9%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.9%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.9%
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 150 to 40 computations (73.3% saved)

series149.0ms (1.7%)

Counts
11 → 292
Calls

81 calls:

TimeVariablePointExpression
59.0ms
base
@0
(pow.f64 (log.f64 base) -1/2)
35.0ms
im
@0
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
14.0ms
base
@-inf
(pow.f64 (log.f64 base) -1/2)
14.0ms
base
@inf
(pow.f64 (log.f64 base) -1/2)
2.0ms
base
@inf
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

rewrite169.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1442×log-prod
778×log1p-expm1-u
777×expm1-log1p-u
442×expm1-udef
442×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030258
1371258
24162258
Stop Event
node limit
Counts
11 → 439
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (sqrt.f64 (log.f64 base)) -2)
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(sqrt.f64 (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(pow.f64 (log.f64 base) -1/2)
Outputs
(+.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(+.f64 0 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(*.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(*.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1) (fma.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))
(/.f64 (fma.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1) (+.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(fma.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 2)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
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(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 2)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))) 1)
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) 2)
(sqrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) 2)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) 1)
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) -1))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/4) -1) (pow.f64 (pow.f64 (log.f64 base) 1/4) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(fabs.f64 (pow.f64 (log.f64 base) -1/2))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) -1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))

simplify326.0ms (3.8%)

Algorithm
egg-herbie
Rules
1094×log-prod
664×cube-prod
614×associate-*r*
572×associate-*l*
508×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054022341
1109521947
2444921637
Stop Event
node limit
Counts
731 → 322
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
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(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 2)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))) 1)
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/4)) 2)
(sqrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) 2)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) 1)
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) -1))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/4) -1) (pow.f64 (pow.f64 (log.f64 base) 1/4) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(fabs.f64 (pow.f64 (log.f64 base) -1/2))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) -1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))
Outputs
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(expm1.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 0 (pow.f64 (log.f64 base) -1/2))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(*.f64 1 (pow.f64 (log.f64 base) -1/2))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 (log.f64 base) -1/2) 1)
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 1) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (log.f64 base) -1/2))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(pow.f64 (sqrt.f64 (log.f64 base)) -1)
(/.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/4) -1) (pow.f64 (pow.f64 (log.f64 base) 1/4) -1))
(pow.f64 (pow.f64 (log.f64 base) 1/4) -2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (log.f64 base)) -1)
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(fabs.f64 (pow.f64 (log.f64 base) -1/2))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) -1))
(pow.f64 (sqrt.f64 (log.f64 base)) -1)
(/.f64 1 (sqrt.f64 (log.f64 base)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)

eval209.0ms (2.4%)

Compiler

Compiled 9750 to 4271 computations (56.2% saved)

prune1.2s (14.6%)

Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New6226628
Fresh4913
Picked145
Done156
Total62824652
Accuracy
100.0%
Counts
652 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.3%
(pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.3%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
98.1%
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
99.5%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
81.7%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
88.6%
(*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))
50.4%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) 1/4) -4))
50.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
50.7%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.3%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
99.2%
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
97.7%
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
48.0%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
99.3%
(pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
54.2%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
98.2%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.3%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
98.1%
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
99.5%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
81.7%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
88.6%
(*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))
50.4%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) 1/4) -4))
50.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
50.7%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.3%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
99.2%
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
97.7%
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 1034 to 758 computations (26.7% saved)

localize229.0ms (2.7%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
99.8%
(/.f64 (log.f64 base) (atan2.f64 im re))
99.4%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
94.7%
(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.8%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
95.1%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
99.5%
(cbrt.f64 (pow.f64 (log.f64 base) -3))
99.5%
(pow.f64 (log.f64 base) -3)
99.9%
(/.f64 1 (atan2.f64 im re))
99.8%
(/.f64 1 (log.f64 base))
99.7%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
99.9%
(/.f64 1 (atan2.f64 im re))
99.9%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
99.7%
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
Compiler

Compiled 165 to 52 computations (68.5% saved)

series37.0ms (0.4%)

Counts
13 → 320
Calls

99 calls:

TimeVariablePointExpression
2.0ms
base
@-inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
2.0ms
base
@-inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
2.0ms
base
@inf
(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
2.0ms
base
@-inf
(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
2.0ms
base
@0
(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite235.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1356×log-prod
757×log1p-expm1-u
757×expm1-log1p-u
416×expm1-udef
416×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031312
1444308
24151308
Stop Event
node limit
Counts
13 → 666
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (atan2.f64 im re))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(pow.f64 (log.f64 base) -3)
(cbrt.f64 (pow.f64 (log.f64 base) -3))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
Outputs
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(/.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))
(/.f64 -1 (*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (atan2.f64 im re))))
(/.f64 -1 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(/.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) -1)
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 1) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) -1/2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 1) (log.f64 base))
(*.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6))
(*.f64 (/.f64 1 (/.f64 -1 (log.f64 base))) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) -1) (neg.f64 (log.f64 base)))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(/.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))
(/.f64 -1 (*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (atan2.f64 im re))))
(/.f64 -1 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(/.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) -1)
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) 1) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2) -3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) -3) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) -3))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify456.0ms (5.3%)

Algorithm
egg-herbie
Rules
1476×log-prod
872×associate-*r*
754×associate-*l*
650×times-frac
602×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070734164
1148532854
2656432854
Stop Event
node limit
Counts
986 → 448
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 1 (pow.f64 (log.f64 base) 3))
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(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 1 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 4))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (/.f64 1 (pow.f64 (atan2.f64 im re) 3))))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) -3) 1) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval202.0ms (2.4%)

Compiler

Compiled 9147 to 4219 computations (53.9% saved)

prune144.0ms (1.7%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New6087615
Fresh4610
Picked235
Done279
Total61623639
Accuracy
100.0%
Counts
639 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
98.1%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.3%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
85.9%
(/.f64 (/.f64 1 (log.f64 base)) (expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))))
88.1%
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
97.4%
(/.f64 1 (pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3))
99.3%
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
99.5%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.5%
(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
99.4%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
81.7%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
50.4%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) 1/4) -4))
50.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
50.7%
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.3%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
98.8%
(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
99.6%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
53.2%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
88.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 845 to 447 computations (47.1% saved)

regimes119.0ms (1.4%)

Accuracy

Total -55.6b remaining (-21260.9%)

Threshold costs -55.6b (-21260.9%)

Counts
47 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) 1/4) -4))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

29.0ms
im
22.0ms
(log.f64 base)
21.0ms
base
20.0ms
re
17.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Results
AccuracySegmentsBranch
99.6%1re
99.6%1im
99.6%1base
99.6%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
99.6%1(log.f64 base)
Compiler

Compiled 601 to 259 computations (56.9% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness127.0ms (1.5%)

Rules
1178×fma-neg
886×cancel-sign-sub-inv
820×sub-neg
756×div-sub
728×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086646
1257624
2515376
3960322
41826322
54769322
66879322
Stop Event
node limit
Compiler

Compiled 117 to 41 computations (65% saved)

end0.0ms (0%)

preprocess51.0ms (0.6%)

Compiler

Compiled 80 to 52 computations (35% saved)

Profiling

Loading profile data...