math.log/2 on complex, real part

Time bar (total: 9.1s)

analyze212.0ms (2.3%)

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)

sample1.9s (21.3%)

Results
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Bogosity

preprocess378.0ms (4.2%)

Algorithm
egg-herbie
Rules
1716×div-sub
1306×fma-def
1238×times-frac
934×distribute-lft-in
910×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-(*.f64 im im)
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(/.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)))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))
00-0-re
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0))
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-(*.f64 (atan2.f64 im re) 0)
00-0-im
00-0-(atan2.f64 im re)
00-0-(*.f64 re re)
00-0-(log.f64 base)
00-0-(*.f64 0 0)
00-0-0
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1181652
2289652
3517404
41028350
51930350
67705350
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 (/.f64 (log.f64 (hypot.f64 re im)) (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)) (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 (/.f64 (log.f64 (hypot.f64 re im)) (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)) (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 (/.f64 (log.f64 (hypot.f64 re im)) (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)) (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 (/.f64 (log.f64 (hypot.f64 re im)) (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)) (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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 (neg.f64 base)) 1))
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (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)) (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 (log.f64 (hypot.f64 im base)) (/.f64 (*.f64 (log.f64 re) (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 1 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 277 to 88 computations (68.2% saved)

eval1.0ms (0%)

Compiler

Compiled 59 to 17 computations (71.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.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 26 to 16 computations (38.5% saved)

localize65.0ms (0.7%)

Localize:

Found 4 expressions with local error:

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

series95.0ms (1%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
50.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
13.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
9.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms
re
@-inf
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
2.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite231.0ms (2.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017104
1216104
22908104
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 (*.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))
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 (log.f64 (pow.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 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.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))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
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(+.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)))
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(*.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 (log.f64 (pow.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 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.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 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
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(*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(*.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) (log.f64 (pow.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)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.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 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.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 (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 (log.f64 (pow.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))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.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)))
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(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 0 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) 1)
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.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 (log.f64 (pow.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 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))

simplify244.0ms (2.7%)

Algorithm
egg-herbie
Rules
784×distribute-lft-in
748×distribute-rgt-in
624×associate-+r+
536×associate-+l+
500×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039216419
1101013724
2344813385
Stop Event
node limit
Counts
273 → 268
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
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(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 (pow.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))))
(+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) 1)
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.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 (log.f64 (pow.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 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))
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 (*.f64 (pow.f64 im 6) 120)) (*.f64 (log.f64 base) (pow.f64 re 6))) (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 (/.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 (*.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 (log.f64 base)) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (/.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 (*.f64 (pow.f64 im 6) 120)) (*.f64 (log.f64 base) (pow.f64 re 6))))) (/.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 1/2 (/.f64 (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 (/.f64 (pow.f64 re 6) (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 1/2 (/.f64 (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))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (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 (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)))
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(/.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))
(+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) 1)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 1)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 3)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) 1/3)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 2))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

eval101.0ms (1.1%)

Compiler

Compiled 6552 to 3351 computations (48.9% saved)

prune66.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New24622268
Fresh000
Picked112
Done000
Total24723270
Accuracy
100.0%
Counts
270 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
99.3%
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
49.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
97.9%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
97.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
98.9%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
98.5%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.3%
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.7%
(/.f64 (log.f64 im) (log.f64 base))
98.8%
(/.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)))
77.9%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
97.9%
(*.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))))
99.2%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.2%
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
97.9%
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
99.2%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
98.1%
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
99.0%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
78.3%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
98.8%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
98.9%
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 690 to 487 computations (29.4% saved)

localize225.0ms (2.5%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.4%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
99.1%
(pow.f64 (log.f64 base) 2)
97.3%
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
99.4%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
99.1%
(pow.f64 (log.f64 base) -2)
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
98.9%
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
99.4%
(/.f64 (log.f64 im) (log.f64 base))
99.5%
(/.f64 1 (log.f64 base))
99.4%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 167 to 48 computations (71.3% saved)

series221.0ms (2.4%)

Counts
11 → 272
Calls

72 calls:

TimeVariablePointExpression
103.0ms
re
@inf
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
40.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
19.0ms
base
@0
(/.f64 (log.f64 im) (log.f64 base))
7.0ms
im
@inf
(/.f64 (log.f64 im) (log.f64 base))
7.0ms
im
@-inf
(/.f64 (log.f64 im) (log.f64 base))

rewrite223.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1009×log1p-expm1-u
546×expm1-udef
546×log1p-udef
390×prod-diff
322×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032269
1440269
25123269
Stop Event
node limit
Counts
11 → 459
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(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 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.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 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.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 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (*.f64 (log.f64 base) (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 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (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 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (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 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 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 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(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 (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)))
(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 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (pow.f64 (log.f64 base) -2) 1/2)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) -3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (/.f64 1 (log.f64 base)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (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 im) (log.f64 base)))
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(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (log.f64 (hypot.f64 re 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 (hypot.f64 re im))))
(*.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 (cbrt.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)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(*.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 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (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 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (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)) 3/2) 1/3))
(*.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 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (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 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (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 (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 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 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 base) (log.f64 (hypot.f64 re im)))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.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 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 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 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(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 (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)))
(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 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

simplify402.0ms (4.4%)

Algorithm
egg-herbie
Rules
1250×fma-def
994×associate-*r/
872×associate-+r+
604×associate-+l+
596×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104046540
1311440666
Stop Event
node limit
Counts
731 → 585
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))))
(+.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)))
(+.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 (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)))
(+.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))))
(+.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)))))
(*.f64 -1 (/.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)))))
(+.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))))))
(+.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 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
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(+.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))))))
(+.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 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3)
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(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 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))
(+.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) -1)
(-.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.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)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) (+.f64 1 (pow.f64 (log.f64 base) 2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) (+.f64 1 (pow.f64 (log.f64 base) 2))) 1) (+.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(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 (+.f64 1 (pow.f64 (log.f64 base) 2)) -1)
(-.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.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)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) (+.f64 1 (pow.f64 (log.f64 base) 2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) (+.f64 1 (pow.f64 (log.f64 base) 2))) 1) (+.f64 (+.f64 1 (pow.f64 (log.f64 base) 2)) 1))
(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 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (log.f64 (hypot.f64 re 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 (hypot.f64 re im))))
(*.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 (cbrt.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)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(*.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 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (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 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (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)) 3/2) 1/3))
(*.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 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (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 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (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 (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 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 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 base) (log.f64 (hypot.f64 re im)))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.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 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 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 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(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 (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)))
(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 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (neg.f64 (log.f64 base))))
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(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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 (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 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (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 (/.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 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (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 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 (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 (/.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 base) (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.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 (/.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 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.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 (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (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 base) (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
(/.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 (*.f64 (log.f64 base) (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (log.f64 base) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))))
(*.f64 (log.f64 base) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 (hypot.f64 im re)) 2))) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) (sqrt.f64 (*.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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (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 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (/.f64 1 (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 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))
(*.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 (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 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.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))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.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))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (hypot.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(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)))
(/.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))
(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)))
(/.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))
(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)))
(/.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))
(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)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(/.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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

eval400.0ms (4.4%)

Compiler

Compiled 23923 to 13929 computations (41.8% saved)

prune351.0ms (3.9%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New81020830
Fresh17017
Picked235
Done011
Total82924853
Accuracy
100.0%
Counts
853 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
49.3%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
46.7%
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
96.6%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.7%
(/.f64 (log.f64 im) (log.f64 base))
98.6%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
77.5%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
75.0%
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
98.6%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
47.8%
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
98.0%
(*.f64 (log.f64 im) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
75.3%
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 2))
98.5%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
99.2%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
99.2%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
98.8%
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
97.1%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.3%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
77.9%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.2%
(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 551 to 414 computations (24.9% saved)

localize320.0ms (3.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
99.2%
(cbrt.f64 (pow.f64 (log.f64 base) -3))
99.1%
(pow.f64 (log.f64 base) -3)
99.7%
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
99.6%
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
99.5%
(/.f64 (log.f64 im) (log.f64 base))
99.3%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
99.7%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
99.5%
(/.f64 (log.f64 im) (log.f64 base))
99.4%
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
99.6%
(/.f64 1 (log.f64 base))
99.5%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
99.6%
(/.f64 1 (log.f64 base))
99.6%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
99.6%
(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
99.6%
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
Compiler

Compiled 163 to 47 computations (71.2% saved)

series225.0ms (2.5%)

Counts
12 → 288
Calls

72 calls:

TimeVariablePointExpression
66.0ms
base
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
65.0ms
base
@-inf
(pow.f64 (log.f64 base) -3)
23.0ms
im
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
18.0ms
im
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
17.0ms
im
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)

rewrite280.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1120×prod-diff
729×log1p-expm1-u
580×log1p-udef
578×expm1-udef
314×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030352
1418297
24853297
Stop Event
node limit
Counts
12 → 404
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (log.f64 base) -3)
(cbrt.f64 (pow.f64 (log.f64 base) -3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))) 1)
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))
(/.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))) (/.f64 1 (log.f64 base))) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(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)))) (/.f64 1 (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 (pow.f64 (log.f64 base) -2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 base))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -2)
(pow.f64 (/.f64 1 (log.f64 base)) 2)
(pow.f64 (pow.f64 (log.f64 base) -2) 1)
(pow.f64 (pow.f64 (log.f64 base) -3) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3)
(pow.f64 (pow.f64 (log.f64 base) 2) -1)
(pow.f64 (pow.f64 (log.f64 base) -6) 1/3)
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 2))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (log.f64 base) -6))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(-.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 1 (/.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) (log.f64 base))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(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 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 2))
(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 (log.f64 base) -6)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -6) (pow.f64 (log.f64 (hypot.f64 re im)) 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))
(+.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)))
(/.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 (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 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(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)
(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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 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)))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 (pow.f64 im (/.f64 1 (log.f64 base))) -1)
(-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1)
(*.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 3) 1) (+.f64 (*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base)))) (+.f64 1 (*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base)))) 1) (+.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
(pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
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(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (-.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -3))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -3))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -3) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -3) (pow.f64 (sqrt.f64 (log.f64 base)) -3))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(/.f64 -1 (*.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) -1) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) 1) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) -1) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -6))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))
(exp.f64 (*.f64 -3 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))
(-.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 -1 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 -1 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (pow.f64 (log.f64 base) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 base) -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (/.f64 1 (log.f64 base)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(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))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3))
(log1p.f64 (expm1.f64 (/.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)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(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)
(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 (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 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

simplify340.0ms (3.7%)

Algorithm
egg-herbie
Rules
1210×fma-neg
882×associate-*r*
864×associate-*l*
668×fma-def
634×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077428617
1180826352
2774926352
Stop Event
node limit
Counts
692 → 537
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))))
(+.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)))
(+.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 (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)))
(+.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))))
(+.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)))))
(*.f64 -1 (/.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)))))
(+.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))))))
(+.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 -1 (/.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)))))
(+.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))))))
(+.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 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)))
(/.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 (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 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(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)
(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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 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)))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 0 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (-.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -3))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -3))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -3) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -3) (pow.f64 (sqrt.f64 (log.f64 base)) -3))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(/.f64 -1 (*.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) -1) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) 1) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) -1) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -6))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))
(exp.f64 (*.f64 -3 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))
(-.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 -1 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 -1 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (pow.f64 (log.f64 base) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 base) -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (/.f64 1 (log.f64 base)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(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))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3))
(log1p.f64 (expm1.f64 (/.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)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(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)
(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 (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 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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)))))
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(pow.f64 (log.f64 base) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -3))))
(pow.f64 (log.f64 base) -3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 3))
(pow.f64 (log.f64 base) -3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))
(pow.f64 (log.f64 base) -3)
(exp.f64 (*.f64 -3 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -3)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1))
(pow.f64 (log.f64 base) -3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))
(pow.f64 (log.f64 base) -3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(*.f64 -1 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(pow.f64 (sqrt.f64 (log.f64 base)) -2)
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3/2)) (cbrt.f64 (pow.f64 (log.f64 base) -3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 -1 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
(pow.f64 (log.f64 base) -1)
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -2) 1/2)
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -3) 1/3)
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(/.f64 1 (log.f64 base))
(fabs.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3))
(/.f64 1 (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.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 (hypot.f64 re im)) (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 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (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))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)) 2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 im re)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

eval532.0ms (5.8%)

Compiler

Compiled 15251 to 7995 computations (47.6% saved)

prune218.0ms (2.4%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New87910889
Fresh41115
Picked415
Done134
Total88825913
Accuracy
100.0%
Counts
913 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
49.3%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
75.0%
(/.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))
98.7%
(/.f64 (log.f64 im) (log.f64 base))
98.6%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
77.4%
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
98.0%
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
98.3%
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
46.8%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
75.0%
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
98.6%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
47.7%
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
75.3%
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 2))
98.5%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
46.4%
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
46.7%
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -6)) (log.f64 (hypot.f64 re im)))
98.0%
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
96.8%
(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
98.3%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
77.9%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.2%
(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 558 to 440 computations (21.1% saved)

localize294.0ms (3.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
99.6%
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
99.4%
(pow.f64 (log.f64 im) 3)
99.4%
(pow.f64 (log.f64 base) 3)
99.9%
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.6%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
99.4%
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
99.9%
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
99.7%
(/.f64 (log.f64 im) (log.f64 base))
99.5%
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
99.8%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
99.7%
(/.f64 (log.f64 base) (log.f64 im))
Compiler

Compiled 138 to 44 computations (68.1% saved)

series30.0ms (0.3%)

Counts
12 → 232
Calls

66 calls:

TimeVariablePointExpression
5.0ms
im
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
2.0ms
im
@-inf
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
1.0ms
im
@0
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
1.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)

rewrite289.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1418×prod-diff
817×log1p-expm1-u
468×expm1-log1p-u
392×expm1-udef
392×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026260
1392260
24122260
Stop Event
node limit
Counts
12 → 747
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(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)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (log.f64 im)))
(*.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)
(*.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (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 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.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 (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 (cbrt.f64 (pow.f64 (log.f64 base) 2)) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) -2)
(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))
(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 1 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(+.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
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(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(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 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 (log.f64 im) (/.f64 1 (log.f64 base)) 0)
(fma.f64 1 (/.f64 (log.f64 im) (log.f64 base)) 0)
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (/.f64 1 (log.f64 base)) (log.f64 im) 0)
(+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 0))
(+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) (*.f64 0 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) -1))
(+.f64 (*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) (*.f64 -1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) 1)
(*.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) -3)))
(*.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3))
(*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (pow.f64 (log.f64 im) 2) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -3)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(*.f64 (pow.f64 (log.f64 im) 3/2) (*.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) -3)))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) 3)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 3))))
(*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2))
(*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 3) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) 1) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 1 (log.f64 base))) (log.f64 im))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 2)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))

simplify489.0ms (5.4%)

Algorithm
egg-herbie
Rules
1296×times-frac
810×associate-*r*
742×associate-*l*
728×log-prod
568×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070732533
1154031467
2705231467
Stop Event
node limit
Counts
979 → 442
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))
(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
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(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
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(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
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(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) 1) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 1 (log.f64 base))) (log.f64 im))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 2)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
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(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 1 (log.f64 base))) (log.f64 im))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 6)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3) 1/3)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 2)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 3))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)

eval255.0ms (2.8%)

Compiler

Compiled 12950 to 6513 computations (49.7% saved)

prune136.0ms (1.5%)

Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New9019910
Fresh11516
Picked145
Done044
Total91322935
Accuracy
100.0%
Counts
935 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
97.2%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
98.5%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
98.7%
(/.f64 (log.f64 im) (log.f64 base))
98.6%
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
98.4%
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
98.2%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
98.3%
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
98.2%
(-.f64 (fma.f64 (/.f64 1 (log.f64 base)) (log.f64 im) 1) 1)
77.4%
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
98.3%
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
98.3%
(+.f64 1 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) -1))
99.3%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
98.6%
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
98.0%
(*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
96.8%
(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
98.3%
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
77.9%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.2%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
98.2%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
49.2%
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 6))
Compiler

Compiled 942 to 492 computations (47.8% saved)

regimes277.0ms (3%)

Counts
64 → 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 (log.f64 im) (log.f64 base)) -1))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
(*.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 (fma.f64 (/.f64 1 (log.f64 base)) (log.f64 im) 1) 1)
(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 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(*.f64 (sqrt.f64 (pow.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 im) (log.f64 base))) 2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(*.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)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 6))
(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 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(*.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 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(/.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 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -6)) (log.f64 (hypot.f64 re im)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 (log.f64 im) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
(/.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)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 2))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (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 (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)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

106.0ms
re
81.0ms
base
42.0ms
im
28.0ms
(log.f64 base)
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 48 to 33 computations (31.3% saved)

regimes25.0ms (0.3%)

Accuracy

Total -0.9b remaining (-103.9%)

Threshold costs -0.9b (-103.9%)

Counts
9 → 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 (log.f64 im) (log.f64 base)) -1))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

7.0ms
base
7.0ms
re
5.0ms
(log.f64 base)
5.0ms
im
Results
AccuracySegmentsBranch
98.7%1re
98.7%1im
98.7%1base
98.7%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% 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)

soundness171.0ms (1.9%)

Rules
1716×div-sub
1306×fma-def
1238×times-frac
934×distribute-lft-in
910×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1181652
2289652
3517404
41028350
51930350
67705350
Stop Event
node limit
Compiler

Compiled 188 to 50 computations (73.4% saved)

end0.0ms (0%)

preprocess60.0ms (0.7%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 184 computations (32.4% saved)

Profiling

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