math.log/2 on complex, real part

Time bar (total: 8.6s)

analyze208.0ms (2.4%)

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%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample1.8s (20.8%)

Results
1.8s8256×body256valid
Bogosity

preprocess185.0ms (2.2%)

Algorithm
egg-herbie
Rules
1722×div-sub
1306×fma-def
1230×times-frac
934×distribute-lft-in
910×distribute-rgt-in
Problems
136×No Errors
118×(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1181652
2289652
3514404
41025350
51929350
67716350
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) 0) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))) (/.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) 0)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)))) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (neg.f64 base)))) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (*.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(/.f64 (log.f64 (hypot.f64 im base)) (/.f64 (log.f64 re) 1))
(/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (/.f64 (log.f64 im) 1))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler

Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 52 to 32 computations (38.5% saved)

localize58.0ms (0.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.1%
(*.f64 (log.f64 base) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 60 to 11 computations (81.7% saved)

series134.0ms (1.6%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
99.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
1.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite231.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1090×log-prod
950×log1p-expm1-u
950×expm1-log1p-u
334×expm1-udef
334×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017104
1216104
22903104
Stop Event
node limit
Counts
4 → 153
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (/.f64 1 (log.f64 base)) 1))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
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(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
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(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (/.f64 1 (log.f64 base)) 1))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
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(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

simplify245.0ms (2.9%)

Algorithm
egg-herbie
Rules
808×distribute-lft-in
772×distribute-rgt-in
626×associate-+r+
538×associate-+l+
536×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039316463
1101313808
2348613469
Stop Event
node limit
Counts
273 → 266
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
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(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (*.f64 (/.f64 1/720 (log.f64 base)) (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (/.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 (/.f64 -1/4 (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 (/.f64 1/720 (log.f64 base)) (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (pow.f64 im 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (*.f64 1/2 (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/720 (log.f64 base)) (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 6) 120)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.f64 (*.f64 1/2 (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2))))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (*.f64 1/2 (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (pow.f64 im 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (*.f64 1/2 (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (*.f64 (/.f64 1/720 (log.f64 base)) (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 6) 120))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

eval292.0ms (3.4%)

Compiler

Compiled 6490 to 3314 computations (48.9% saved)

prune110.0ms (1.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New24719266
Fresh000
Picked112
Done000
Total24820268
Accuracy
100.0%
Counts
268 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
46.0%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
98.0%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
97.1%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
99.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
98.9%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
98.9%
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
73.6%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
99.3%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.3%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
99.3%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
97.5%
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
99.0%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
74.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
46.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
98.9%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
99.3%
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
46.0%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
98.0%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
97.1%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
99.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
98.9%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
98.9%
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
73.6%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
99.3%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.3%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
99.3%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
97.5%
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
99.0%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
74.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
46.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
98.9%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 1100 to 794 computations (27.8% saved)

localize225.0ms (2.6%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2))
99.7%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.5%
(pow.f64 (log.f64 base) 2)
99.9%
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
99.8%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
99.8%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
99.8%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.5%
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.8%
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
99.7%
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 156 to 30 computations (80.8% saved)

series361.0ms (4.2%)

Counts
10 → 312
Calls

81 calls:

TimeVariablePointExpression
113.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
61.0ms
im
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
41.0ms
base
@0
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
21.0ms
base
@-inf
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
15.0ms
base
@inf
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite159.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
925×log1p-expm1-u
766×expm1-log1p-u
524×expm1-udef
524×log1p-udef
236×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027308
1367308
24092308
Stop Event
node limit
Counts
10 → 383
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)
(*.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(*.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))
(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
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(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1))

simplify401.0ms (4.7%)

Algorithm
egg-herbie
Rules
892×*-commutative
794×distribute-rgt-in
782×distribute-lft-in
574×+-commutative
480×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0150858785
1444053199
Stop Event
node limit
Counts
695 → 814
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (*.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3))))) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))))) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(/.f64 (log.f64 base) (log.f64 re))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))) (/.f64 (log.f64 base) (log.f64 re))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 im 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3))))) (*.f64 (pow.f64 re 2) (log.f64 re)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 3)))) (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))) (/.f64 (log.f64 base) (log.f64 re)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 im)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (log.f64 (/.f64 1 im)))))) (pow.f64 im 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im)))))) (pow.f64 im 6))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 1 (log.f64 base)) 1/2))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1/2))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) -1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(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 (*.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))) 1)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 2))
(log.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 1))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1))
Outputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
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(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) 2)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) -1)
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) -1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2)) -1))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) -1))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2)) -1))

eval1.2s (14.3%)

Compiler

Compiled 44697 to 26366 computations (41% saved)

prune305.0ms (3.6%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1375191394
Fresh13114
Picked415
Done011
Total1392221414
Accuracy
100.0%
Counts
1414 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
45.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
46.1%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
99.0%
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
99.2%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
97.9%
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (cbrt.f64 (log.f64 im))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
99.3%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
98.5%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
73.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
98.5%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.2%
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
98.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
97.6%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
73.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
45.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
98.2%
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
99.2%
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
45.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
46.1%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
99.0%
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
99.2%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
97.9%
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (cbrt.f64 (log.f64 im))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
99.3%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
98.5%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
73.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
98.5%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.2%
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
98.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
97.6%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
73.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
45.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
98.2%
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 1020 to 786 computations (22.9% saved)

localize140.0ms (1.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.7%
(*.f64 (log.f64 im) (log.f64 base))
99.5%
(*.f64 (log.f64 base) (log.f64 base))
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.6%
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
99.5%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
99.8%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.5%
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
99.8%
(/.f64 1 (log.f64 base))
99.7%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
99.8%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
99.7%
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
99.5%
(pow.f64 (log.f64 base) 2)
Compiler

Compiled 137 to 34 computations (75.2% saved)

series112.0ms (1.3%)

Counts
10 → 240
Calls

63 calls:

TimeVariablePointExpression
18.0ms
im
@inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
14.0ms
base
@-inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
14.0ms
im
@-inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
13.0ms
im
@0
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
9.0ms
base
@inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))

rewrite169.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1047×log1p-expm1-u
534×expm1-udef
534×log1p-udef
392×prod-diff
244×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030254
1403241
24853241
Stop Event
node limit
Counts
10 → 527
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (log.f64 base))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) 1)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
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(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im)))) 1)
(pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 2))
(log.f64 (pow.f64 base (log.f64 im)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 im)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))) 1))
(log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) 1))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 1))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))

simplify233.0ms (2.7%)

Algorithm
egg-herbie
Rules
1206×times-frac
908×associate-/r*
864×fma-def
614×associate-*r/
588×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100133774
1263931158
Stop Event
node limit
Counts
767 → 546
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (*.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 3))))) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 -1 re))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(fma.f64 -1 (*.f64 (pow.f64 re 4) (*.f64 -1/4 (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (*.f64 (pow.f64 re 4) (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (*.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(fma.f64 -1 (*.f64 (pow.f64 re 4) (*.f64 -1/4 (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (fma.f64 -1 (*.f64 (pow.f64 re 6) (fma.f64 -1/2 (/.f64 (*.f64 -1/4 (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (*.f64 (pow.f64 im 2) (log.f64 im))) (fma.f64 1/8 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(-.f64 (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (*.f64 (pow.f64 re 6) (fma.f64 -1/2 (*.f64 (/.f64 -1/4 (log.f64 im)) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))) (pow.f64 im 2))) (fma.f64 1/8 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)) (pow.f64 (log.f64 im) 3)) (/.f64 (*.f64 1/6 (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))))) (*.f64 (pow.f64 re 4) (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 re)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(fma.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 re))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (neg.f64 (log.f64 re)) 2)) (pow.f64 (log.f64 base) 2)))))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)) (pow.f64 re 2)) (pow.f64 (log.f64 re) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 re))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 re))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (neg.f64 (log.f64 re)) 2)) (pow.f64 (log.f64 base) 2))))))
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)) (pow.f64 re 2)) (pow.f64 (log.f64 re) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 2))) (/.f64 (*.f64 -1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (pow.f64 re 4)))
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(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
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eval312.0ms (3.6%)

Compiler

Compiled 16254 to 8548 computations (47.4% saved)

prune177.0ms (2.1%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New77510785
Fresh6915
Picked235
Done022
Total78324807
Accuracy
100.0%
Counts
807 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
46.1%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
46.2%
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 3/2)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
99.2%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
70.4%
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
98.5%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
98.5%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
73.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
47.6%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
97.1%
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
47.7%
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
98.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
48.6%
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
90.4%
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
98.0%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
97.6%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
73.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
45.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
45.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
46.1%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
46.2%
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 3/2)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
99.2%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
98.4%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
70.4%
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
98.5%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
98.5%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
73.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
47.6%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
97.1%
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
47.7%
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
98.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
48.6%
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
90.4%
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
98.0%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
97.6%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
73.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
45.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
Compiler

Compiled 998 to 788 computations (21% saved)

localize216.0ms (2.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 1 (cbrt.f64 (log.f64 base)))
99.4%
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
99.2%
(cbrt.f64 (log.f64 base))
98.8%
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
100.0%
(exp.f64 (/.f64 1 (log.f64 base)))
99.4%
(/.f64 1 (log.f64 base))
99.4%
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
90.9%
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
99.4%
(/.f64 (log.f64 im) (log.f64 base))
99.0%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
98.8%
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
99.6%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
99.4%
(/.f64 (log.f64 base) (log.f64 im))
99.5%
(/.f64 1 (log.f64 (hypot.f64 re im)))
99.5%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
99.4%
(/.f64 1 (log.f64 base))
Compiler

Compiled 148 to 58 computations (60.8% saved)

series43.0ms (0.5%)

Counts
13 → 252
Calls

66 calls:

TimeVariablePointExpression
13.0ms
base
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
3.0ms
base
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
2.0ms
base
@0
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
2.0ms
base
@inf
(cbrt.f64 (log.f64 base))
1.0ms
base
@0
(cbrt.f64 (log.f64 base))

rewrite172.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
991×log1p-expm1-u
552×expm1-udef
552×log1p-udef
316×expm1-log1p-u
256×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031273
1464261
25041261
Stop Event
node limit
Counts
13 → 470
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
(exp.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(cbrt.f64 (log.f64 base))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
(/.f64 1 (cbrt.f64 (log.f64 base)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(*.f64 -1 (/.f64 -1 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1))
(pow.f64 (log.f64 (hypot.f64 re im)) -1)
(pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1)
(*.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (/.f64 1 (log.f64 im)))
(*.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)
(*.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 im))))
(*.f64 (/.f64 1 (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 im))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))
(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (log.f64 im)))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) -1) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (log.f64 base)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 3/2)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 1 (log.f64 base))))) 1)
(*.f64 1 (exp.f64 (/.f64 1 (log.f64 base))))
(*.f64 (exp.f64 (/.f64 1 (log.f64 base))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 2)) (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 1)
(pow.f64 (exp.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) 2)
(pow.f64 (exp.f64 1) (/.f64 1 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 1 (log.f64 base))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(+.f64 0 (/.f64 1 (log.f64 base)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 -1 (/.f64 -1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) 3) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2)) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 -1 (log.f64 base)) -1)
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (pow.f64 (log.f64 base) -1/2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) -1) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 base)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/3) (pow.f64 (sqrt.f64 (log.f64 base)) 1/3))
(/.f64 1 (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (log.f64 base)) 1)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 base))) -1)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(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 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (log.f64 base))))) 1)
(*.f64 1 (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) -1))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/6) -1) (pow.f64 (pow.f64 (log.f64 base) 1/6) -1))
(pow.f64 (log.f64 base) -1/3)
(pow.f64 (/.f64 1 (log.f64 base)) 1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base))))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))

simplify186.0ms (2.2%)

Algorithm
egg-herbie
Rules
1512×times-frac
936×associate-/r*
708×fma-def
584×associate-*r/
468×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092524833
1229023169
Stop Event
node limit
Counts
722 → 528
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
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(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base))))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 im 6)) (*.f64 90 (pow.f64 im 6))) (*.f64 (pow.f64 re 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (pow.f64 im 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(-.f64 (*.f64 (/.f64 1/2 (pow.f64 im 2)) (/.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (pow.f64 im 6) (log.f64 base)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 1 (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 1 (log.f64 im)))
(fma.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))) (/.f64 1 (log.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (/.f64 1 (log.f64 im))))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 base)))
(cbrt.f64 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/3) (pow.f64 (sqrt.f64 (log.f64 base)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (/.f64 1 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(/.f64 (cbrt.f64 (log.f64 base)) 1)
(cbrt.f64 (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(cbrt.f64 (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 base))) -1)
(pow.f64 (log.f64 base) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) 1)
(cbrt.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3)
(cbrt.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) 1/6) 2)
(cbrt.f64 (log.f64 base))
(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))))
(cbrt.f64 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 base)))))
(cbrt.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/3))
(cbrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 1))
(cbrt.f64 (log.f64 base))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(cbrt.f64 (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(fabs.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) 1/3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (log.f64 base))))) 1)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 1 (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 1)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/6) -1) (pow.f64 (pow.f64 (log.f64 base) 1/6) -1))
(pow.f64 (pow.f64 (log.f64 base) 1/6) -2)
(pow.f64 (log.f64 base) -1/3)
(*.f64 (pow.f64 (log.f64 base) -1/6) (pow.f64 (log.f64 base) -1/6))
(pow.f64 (/.f64 1 (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 1 (log.f64 base)))
(pow.f64 (cbrt.f64 (log.f64 base)) -1)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 1)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 2)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(log.f64 (exp.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base))))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))

eval383.0ms (4.5%)

Compiler

Compiled 13951 to 8129 computations (41.7% saved)

prune188.0ms (2.2%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New7457752
Fresh7714
Picked325
Done145
Total75620776
Accuracy
100.0%
Counts
776 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
98.4%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.6%
(/.f64 (log.f64 im) (log.f64 base))
98.5%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
98.5%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
98.4%
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
96.3%
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
98.2%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
73.0%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
47.6%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
47.7%
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
97.3%
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -3) (log.f64 im))
98.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
97.6%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
73.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
45.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
98.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
Compiler

Compiled 811 to 422 computations (48% saved)

regimes131.0ms (1.5%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -3) (log.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 3/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (cbrt.f64 (log.f64 im))) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

29.0ms
base
25.0ms
re
25.0ms
(log.f64 base)
24.0ms
im
16.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
99.4%1(log.f64 base)
Compiler

Compiled 641 to 280 computations (56.3% saved)

regimes21.0ms (0.2%)

Accuracy

Total -0.6b remaining (-70.7%)

Threshold costs -0.6b (-70.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

5.0ms
im
5.0ms
base
5.0ms
(log.f64 base)
4.0ms
re
Results
AccuracySegmentsBranch
98.6%1re
98.6%1im
98.6%1base
98.6%1(log.f64 base)
Compiler

Compiled 64 to 39 computations (39.1% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness124.0ms (1.5%)

Rules
1722×div-sub
1306×fma-def
1230×times-frac
934×distribute-lft-in
910×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1181652
2289652
3514404
41025350
51929350
67716350
Stop Event
node limit
Compiler

Compiled 173 to 59 computations (65.9% saved)

end0.0ms (0%)

preprocess45.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 184 computations (32.4% saved)

Profiling

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