math.log/2 on complex, imaginary part

Time bar (total: 7.4s)

analyze184.0ms (2.5%)

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

Compiled 32 to 21 computations (34.4% saved)

sample2.4s (32.5%)

Results
2.0s8256×body256valid
369.0ms2044×body256invalid
Bogosity

preprocess74.0ms (1%)

Algorithm
egg-herbie
Rules
2448×fma-neg
1582×div-sub
538×sub-neg
518×cancel-sign-sub-inv
502×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079293
1236279
2434173
3714131
41117131
52830131
63835131
75540131
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(/.f64 (atan2.f64 (neg.f64 im) re) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) 0) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (/.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (neg.f64 base)) 1))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 re im) 1) (log.f64 base))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(/.f64 (/.f64 (atan2.f64 im base) 1) (log.f64 re))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) 1)
(/.f64 (atan2.f64 base re) (log.f64 im))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify83.0ms (1.1%)

Algorithm
egg-herbie
Rules
1988×fma-def
1328×cube-prod
1150×fma-neg
1044×pow-sqr
894×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02139
14437
27123
39717
412817
527117
695717
7228717
8335717
9512017
10572417
11681117
12786917
Stop Event
node limit
Counts
1 → 5
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

eval1.0ms (0%)

Compiler

Compiled 70 to 28 computations (60% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Accurracy
99.7%
Counts
6 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 25 to 15 computations (40% saved)

localize136.0ms (1.9%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 52 to 14 computations (73.1% saved)

series106.0ms (1.4%)

Counts
4 → 92
Calls

30 calls:

TimeVariablePointExpression
53.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
14.0ms
base
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
12.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))
8.0ms
base
@inf
(/.f64 (atan2.f64 im re) (log.f64 base))
5.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite114.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1358×log-prod
762×pow-prod-down
682×pow-prod-up
604×pow-exp
494×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
128278
2354478
Stop Event
node limit
Counts
4 → 153
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(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 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))

simplify114.0ms (1.5%)

Algorithm
egg-herbie
Rules
800×log-prod
668×associate-/r/
644×fma-neg
454×div-sub
432×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03615871
18154783
227704665
Stop Event
node limit
Counts
245 → 184
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(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 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6)) 1/3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval96.0ms (1.3%)

Compiler

Compiled 2859 to 979 computations (65.8% saved)

prune100.0ms (1.4%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New15925184
Fresh000
Picked112
Done000
Total16026186
Accurracy
100.0%
Counts
186 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
98.8%
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
98.9%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
49.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.8%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
50.8%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
98.9%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
97.6%
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3) (*.f64 (log.f64 base) (log.f64 base)))
49.6%
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (log.f64 base) (log.f64 base)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
51.1%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.0%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
98.1%
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
51.1%
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
50.6%
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (*.f64 (log.f64 base) (log.f64 base)))
51.2%
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
51.7%
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
99.3%
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
99.5%
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
76.0%
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
48.6%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
87.3%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
87.3%
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 757 to 502 computations (33.7% saved)

localize202.0ms (2.8%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.9%
(sqrt.f64 (log.f64 base))
99.9%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
99.8%
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
99.6%
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
99.9%
(sqrt.f64 (log.f64 base))
99.9%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.8%
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
99.9%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.9%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
98.3%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.9%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
99.9%
(/.f64 1 (log.f64 base))
99.9%
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
Compiler

Compiled 156 to 48 computations (69.2% saved)

series99.0ms (1.3%)

Counts
11 → 232
Calls

75 calls:

TimeVariablePointExpression
65.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
7.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
6.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
3.0ms
re
@-inf
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
re
@inf
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))

rewrite134.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
678×expm1-udef
676×log1p-udef
480×add-sqr-sqrt
474×pow1
470×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027201
1563183
26605183
Stop Event
node limit
Counts
11 → 445
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
(sqrt.f64 (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/4)) (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 1/4)) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (pow.f64 (log.f64 base) 1/4)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 3) (pow.f64 (log.f64 base) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (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 -1 (/.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))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(neg.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(pow.f64 (log.f64 base) 1/2)
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))

simplify246.0ms (3.3%)

Algorithm
egg-herbie
Rules
1388×log-prod
1176×exp-prod
722×associate-*r*
720×times-frac
602×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053716071
1114615423
2540315423
Stop Event
node limit
Counts
677 → 336
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.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 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
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(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (*.f64 (sqrt.f64 -1) (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (*.f64 (sqrt.f64 -1) (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (*.f64 (sqrt.f64 -1) (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (*.f64 (sqrt.f64 -1) (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (pow.f64 (log.f64 base) 1/4)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 3) (pow.f64 (log.f64 base) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(pow.f64 (log.f64 base) 1/2)
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(-.f64 0 (pow.f64 (log.f64 base) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 3/2))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 3/2) (sqrt.f64 (log.f64 base)))
(*.f64 -1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 4))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/4) 4) (pow.f64 (pow.f64 (log.f64 base) 1/4) 4))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(neg.f64 (pow.f64 (log.f64 base) 2))
(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))))
(log.f64 (/.f64 1 (pow.f64 base (log.f64 base))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 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 (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 1 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(neg.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(pow.f64 (log.f64 base) 1/2)
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 (sqrt.f64 (log.f64 base)) 1)
(sqrt.f64 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(sqrt.f64 (log.f64 base))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 1/2)
(sqrt.f64 (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(sqrt.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(sqrt.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(sqrt.f64 (log.f64 base))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(sqrt.f64 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(sqrt.f64 (log.f64 base))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(sqrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(sqrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(sqrt.f64 (log.f64 base))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(sqrt.f64 (log.f64 base))

eval148.0ms (2%)

Compiler

Compiled 7727 to 2960 computations (61.7% saved)

prune113.0ms (1.5%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New48711498
Fresh13720
Picked235
Done011
Total50222524
Accurracy
100.0%
Counts
524 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
48.7%
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) 2)
49.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.8%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
98.1%
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
51.7%
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
98.9%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
50.5%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
51.1%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
98.0%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
98.7%
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
54.6%
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
91.8%
(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
50.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
99.5%
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
76.0%
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
48.6%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
87.3%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 535 to 385 computations (28% saved)

localize184.0ms (2.5%)

Local Accuracy

Found 15 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
99.7%
(/.f64 1 (log.f64 base))
99.5%
(pow.f64 (/.f64 1 (log.f64 base)) 3)
98.7%
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
99.9%
(pow.f64 (log.f64 base) -1/2)
99.8%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
99.5%
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
100.0%
(log.f64 (log.f64 base))
99.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.1%
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
99.7%
(/.f64 (log.f64 base) (atan2.f64 im re))
99.4%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.8%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.7%
(*.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 157 to 56 computations (64.3% saved)

series95.0ms (1.3%)

Counts
14 → 300
Calls

84 calls:

TimeVariablePointExpression
16.0ms
base
@-inf
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
16.0ms
base
@inf
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
15.0ms
base
@0
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
9.0ms
base
@-inf
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
7.0ms
re
@0
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

rewrite137.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1794×log-prod
668×expm1-udef
662×log1p-udef
480×add-sqr-sqrt
460×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030200
1638174
26189174
Stop Event
node limit
Counts
14 → 554
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -2)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(pow.f64 (log.f64 base) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 1 (log.f64 base)) 3)
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
Outputs
(+.f64 0 (pow.f64 (log.f64 base) -2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)
(*.f64 (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 (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)) (pow.f64 (log.f64 base) 3/2))
(*.f64 (pow.f64 (log.f64 base) 3/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 1 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 base) (log.f64 base))
(/.f64 -1 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 -1 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) -1) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(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 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 3))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
(*.f64 (log.f64 base) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))

simplify195.0ms (2.7%)

Algorithm
egg-herbie
Rules
1166×log-prod
1108×associate-*r*
1006×associate-*l*
532×fma-neg
452×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064916794
1123615884
2606815674
Stop Event
node limit
Counts
854 → 412
Calls
Call 1
Inputs
(/.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))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
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(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
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(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
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(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)
(*.f64 1 (log.f64 base))
(*.f64 (log.f64 base) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (pow.f64 (log.f64 base) -1/4) (sqrt.f64 (log.f64 base))))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 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) (log.f64 base))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 base) 1)
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) -1)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 (+.f64 1 (-.f64 base 1)))
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(expm1.f64 (log1p.f64 (log.f64 base)))
(exp.f64 (log.f64 (log.f64 base)))
(log1p.f64 (-.f64 base 1))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (sqrt.f64 (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 1/6) (pow.f64 (log.f64 base) 1/6))
(*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (pow.f64 (log.f64 base) -2) 1/6))
(*.f64 (pow.f64 1 1/6) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 3/2) 1/6) (pow.f64 (pow.f64 (log.f64 base) 3/2) 1/6))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 3) 1/12) (pow.f64 (pow.f64 (log.f64 base) 3) 1/12))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(sqrt.f64 (log.f64 base))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 1/6))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(+.f64 (log.f64 base) 0)
(+.f64 0 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)
(*.f64 1 (log.f64 base))
(*.f64 (log.f64 base) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/4) (*.f64 (pow.f64 (log.f64 base) -1/4) (sqrt.f64 (log.f64 base))))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 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) (log.f64 base))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -1/4)) (pow.f64 (log.f64 base) -1/4))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 base) 1)
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) -1)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 (+.f64 1 (-.f64 base 1)))
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(expm1.f64 (log1p.f64 (log.f64 base)))
(exp.f64 (log.f64 (log.f64 base)))
(log1p.f64 (-.f64 base 1))
(+.f64 0 (pow.f64 (log.f64 base) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 3))) 1)
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(*.f64 1 (pow.f64 (log.f64 base) 3))
(*.f64 (pow.f64 (log.f64 base) 3) 1)
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) 3/2) (pow.f64 (log.f64 base) 3/2))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) -4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) 1))
(/.f64 -1 (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (pow.f64 (log.f64 base) -2)) (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 (log.f64 (log.f64 base)) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 3)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
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(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) 1))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 3)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 (*.f64 -1 (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(sqrt.f64 (pow.f64 (log.f64 base) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))
(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 (log.f64 (log.f64 base)) 3))
(pow.f64 (log.f64 base) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 1))
(pow.f64 (log.f64 base) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(log1p.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))
(log.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) 0))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(log1p.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))
(log.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) 0))

eval361.0ms (4.9%)

Compiler

Compiled 6408 to 2865 computations (55.3% saved)

prune89.0ms (1.2%)

Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New4367443
Fresh6713
Picked145
Done044
Total44322465
Accurracy
100.0%
Counts
465 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
45.9%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
97.8%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
14.1%
(atan2.f64 im re)
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
98.1%
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
51.7%
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
98.9%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
98.9%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
80.6%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
45.0%
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
50.5%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
51.1%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
98.0%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
98.0%
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
99.5%
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
48.6%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
87.3%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 480 to 338 computations (29.6% saved)

localize126.0ms (1.7%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 1 (cbrt.f64 (log.f64 base)))
99.8%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
99.6%
(cbrt.f64 (log.f64 base))
99.5%
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
99.7%
(/.f64 (log.f64 base) (atan2.f64 im re))
99.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
97.0%
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.8%
(/.f64 (atan2.f64 im re) (log.f64 base))
98.6%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
97.2%
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
99.8%
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
99.8%
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
99.7%
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 137 to 38 computations (72.3% saved)

series202.0ms (2.7%)

Counts
10 → 232
Calls

72 calls:

TimeVariablePointExpression
51.0ms
im
@0
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
22.0ms
base
@-inf
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
17.0ms
im
@inf
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
15.0ms
re
@-inf
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
15.0ms
base
@inf
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite140.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1952×log-prod
694×expm1-udef
690×log1p-udef
452×add-sqr-sqrt
440×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024194
1482184
25645184
Stop Event
node limit
Counts
10 → 399
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(cbrt.f64 (log.f64 base))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(/.f64 1 (cbrt.f64 (log.f64 base)))
Outputs
(+.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) (cbrt.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))))) 1)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))) 2))
(log.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 1))
(+.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) 1)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) 2)
(sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -4)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(exp.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 0)
(+.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base))))
(+.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) (log.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (atan2.f64 im re))))
(+.f64 0 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (atan2.f64 im re)) (neg.f64 (log.f64 (log.f64 base))))
(+.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (atan2.f64 im re)))
(+.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -1)))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (log.f64 base)))) (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (log.f64 base)))) (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (atan2.f64 im re))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (cbrt.f64 (/.f64 1 (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) -1))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/6) -1) (pow.f64 (pow.f64 (log.f64 base) 1/6) -1))
(pow.f64 (log.f64 base) -1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) -1)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 2)
(pow.f64 (/.f64 1 (log.f64 base)) 1/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))

simplify274.0ms (3.7%)

Algorithm
egg-herbie
Rules
1084×log-prod
624×associate-*r*
616×associate-*l*
530×cube-prod
512×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067715861
1141214705
2527214589
Stop Event
node limit
Counts
631 → 414
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
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(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
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(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
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(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
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(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2)) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) -1) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(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 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(+.f64 0 (cbrt.f64 (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 base)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/3) (pow.f64 (sqrt.f64 (log.f64 base)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 1 (log.f64 base))))
(/.f64 (cbrt.f64 (log.f64 base)) 1)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 base))) -1)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 base)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (cbrt.f64 (/.f64 1 (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) -1))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/6) -1) (pow.f64 (pow.f64 (log.f64 base) 1/6) -1))
(pow.f64 (log.f64 base) -1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) -1)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 2)
(pow.f64 (/.f64 1 (log.f64 base)) 1/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
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(cbrt.f64 (/.f64 -1 (log.f64 base)))
(*.f64 1 (cbrt.f64 (/.f64 1 (log.f64 base))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(*.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/6) -1) (pow.f64 (pow.f64 (log.f64 base) 1/6) -1))
(pow.f64 (pow.f64 (log.f64 base) 1/6) -2)
(pow.f64 (log.f64 base) -1/3)
(*.f64 (pow.f64 (log.f64 base) -1/6) (pow.f64 (log.f64 base) -1/6))
(pow.f64 (cbrt.f64 (log.f64 base)) -1)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 1)
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) 2)
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 1 (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base))))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) -1))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 1))
(/.f64 1 (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (log.f64 base)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (/.f64 1 (log.f64 base)))
(cbrt.f64 (/.f64 -1 (log.f64 base)))

eval136.0ms (1.9%)

Compiler

Compiled 8543 to 3618 computations (57.6% saved)

prune107.0ms (1.5%)

Pruning

22 alts after pruning (9 fresh and 13 done)

PrunedKeptTotal
New5562558
Fresh279
Picked055
Done088
Total55822580
Accurracy
100.0%
Counts
580 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
45.9%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
97.8%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
14.1%
(atan2.f64 im re)
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.2%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
51.7%
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
98.9%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
98.9%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
80.6%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
45.0%
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
50.5%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
51.1%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
98.0%
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
47.5%
(*.f64 (atan2.f64 im re) (pow.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.0%
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
99.5%
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
48.6%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
87.3%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 842 to 429 computations (49% saved)

regimes112.0ms (1.5%)

Counts
48 → 1
Calls
Call 1
Inputs
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (atan2.f64 im re) (pow.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3))
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) 2)
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
Calls

5 calls:

25.0ms
base
21.0ms
(log.f64 base)
20.0ms
re
19.0ms
im
17.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
99.5%1(log.f64 base)
Compiler

Compiled 612 to 255 computations (58.3% saved)

regimes17.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

4 calls:

4.0ms
(log.f64 base)
4.0ms
re
4.0ms
base
4.0ms
im
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(log.f64 base)
Compiler

Compiled 45 to 25 computations (44.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan2.f64 im re)
Outputs
(atan2.f64 im re)
Calls

3 calls:

3.0ms
re
2.0ms
im
2.0ms
base
Results
AccuracySegmentsBranch
14.1%1re
14.1%1im
14.1%1base
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
*-commutative
neg-sub0
mul-1-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551
11951
22251
32551
42851
52951
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness761.0ms (10.3%)

Rules
1988×fma-def
1794×log-prod
1358×log-prod
1328×cube-prod
1166×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02139
14437
27123
39717
412817
527117
695717
7228717
8335717
9512017
10572417
11681117
12786917
01482
128278
2354478
027201
1563183
26605183
030200
1638174
26189174
064916794
1123615884
2606815674
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 441 to 143 computations (67.6% saved)

end64.0ms (0.9%)

Compiler

Compiled 104 to 62 computations (40.4% saved)

Profiling

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