math.log/2 on complex, imaginary part

Details

Time bar (total: 10.5s)

analyze169.0ms (1.6%)

Algorithm
1×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)

sample2.3s (21.5%)

Results
1.9s8256×body256valid
398.0ms2120×body256invalid
Bogosity

preprocess107.0ms (1%)

Algorithm
2×egg-herbie
Rules
1650×cube-prod
1356×unswap-sqr
1304×fma-neg
1006×fma-def
720×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052156
1140148
223092
333268
445068
597668
6228668
7339968
8400468
9411168
10431368
11482868
12670968
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
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 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 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 1 (/.f64 (atan2.f64 re im) (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 (atan2.f64 im base) (/.f64 (*.f64 (log.f64 re) (log.f64 re)) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (log.f64 re) 1))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify113.0ms (1.1%)

Algorithm
1×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
1×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)))
▶99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 25 to 15 computations (40% saved)

localize78.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 18 to 7 computations (61.1% saved)

series70.0ms (0.7%)

Counts
1 → 8
Calls

9 calls:

TimeVariablePointExpression
26.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
16.0ms
base
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
13.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))
7.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
6.0ms
base
@inf
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite88.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1752×pow1
1598×add-exp-log
1598×log1p-expm1-u
1598×expm1-log1p-u
1556×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117617
2217017
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(-.f64 (+.f64 1 (/.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))) (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)) (/.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 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (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))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify83.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1584×log-prod
1106×fma-def
1022×associate-*r*
926×associate-*l*
712×log-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951093
1217809
2668809
34710809
Stop Event
1×node limit
Counts
39 → 40
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)))))
(-.f64 (+.f64 1 (/.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))) (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)) (/.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 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (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))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
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))))
(-.f64 (+.f64 1 (/.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))
(*.f64 (atan2.f64 im re) (/.f64 1 (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) (log.f64 base)) 1)
(/.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 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (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 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.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)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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 1 (sqrt.f64 (log.f64 base))) (/.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)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.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 (atan2.f64 im re) (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 (exp.f64 (/.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))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (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))
(exp.f64 (log.f64 (/.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))
(log1p.f64 (expm1.f64 (/.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))

localize43.0ms (0.4%)

Local Accuracy

Found 3 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)))
✓99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓99.3%
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 38 to 13 computations (65.8% saved)

series7.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
im
@0
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms
base
@-inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms
base
@inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms
re
@inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms
im
@inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))

rewrite79.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1170×log-prod
666×pow-prod-down
618×pow-prod-up
546×pow-exp
442×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01365
125661
2308761
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.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 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (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 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (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 (log.f64 base) (atan2.f64 im re)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.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 (sqrt.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 (log.f64 base) (atan2.f64 im re)) 3) 0) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) (-.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(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)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(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 (log.f64 base) (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) 1) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))) 2))
(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 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))

simplify132.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1586×fma-def
700×associate-*r/
640×distribute-lft-in
626×distribute-rgt-in
588×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02693993
16303811
221353765
Stop Event
1×node limit
Counts
195 → 142
Calls
Call 1
Inputs
(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 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (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 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (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 (log.f64 base) (atan2.f64 im re)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.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 (sqrt.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 (log.f64 base) (atan2.f64 im re)) 3) 0) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) (-.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(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)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(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 (log.f64 base) (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 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 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) 1) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))) 2))
(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 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
Outputs
(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)
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(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 0 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(*.f64 3 (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 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) 1) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4))
(/.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 (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 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6)) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re)))) -1))
(/.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 (atan2.f64 im re) (log.f64 base))

eval43.0ms (0.4%)

Compiler

Compiled 2857 to 1024 computations (64.2% saved)

prune52.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New16715182
Fresh000
Picked101
Done011
Total16816184
Accurracy
100.0%
Counts
184 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
44.6%
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6) 1/3)
▶99.2%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶51.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
97.9%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
45.1%
(/.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)))
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
45.3%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
▶99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
45.3%
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
88.2%
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
▶99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
99.3%
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
87.5%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 447 to 298 computations (33.3% saved)

localize38.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(/.f64 1 (log.f64 base))
✓99.5%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
Compiler

Compiled 25 to 12 computations (52% saved)

series2.0ms (0%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(/.f64 1 (log.f64 base))
0.0ms
base
@inf
(/.f64 1 (log.f64 base))
0.0ms
base
@0
(/.f64 1 (log.f64 base))
0.0ms
im
@0
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms
base
@-inf
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite65.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1908×pow1
1738×add-exp-log
1738×log1p-expm1-u
1738×expm1-log1p-u
1692×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
121228
2247828
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
Outputs
(-.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.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 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (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))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (+.f64 1 (/.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 (neg.f64 (log.f64 base))))
(*.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))
(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))))
(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))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))

simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1434×fma-def
1196×log-prod
1108×associate-*r*
1026×associate-*l*
776×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01171624
12521492
27711492
354921492
Stop Event
1×node limit
Counts
88 → 55
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 (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 -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 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.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 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (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))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (+.f64 1 (/.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 (neg.f64 (log.f64 base))))
(*.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))
(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))))
(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))))
(log1p.f64 (expm1.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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (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 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.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 (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 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (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) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (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 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (log.f64 base) -1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))

localize78.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 (log.f64 base) (atan2.f64 im re))
✓99.4%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
Compiler

Compiled 27 to 10 computations (63% saved)

series7.0ms (0.1%)

Counts
2 → 44
Calls

18 calls:

TimeVariablePointExpression
1.0ms
re
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
1.0ms
re
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)

rewrite76.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1012×log-prod
808×exp-prod
556×pow-prod-down
550×prod-exp
534×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
122134
2263834
Stop Event
1×node limit
Counts
2 → 115
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (log.f64 base) (atan2.f64 im re))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (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 (/.f64 (atan2.f64 im re) (log.f64 base))) (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 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(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 (log.f64 base) (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 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -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 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(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 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(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 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))

simplify100.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1248×fma-neg
942×fma-def
924×associate-/l*
864×associate-/r*
574×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02833853
16363295
217993295
378083295
Stop Event
1×node limit
Counts
159 → 139
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))
(/.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 (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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (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 (/.f64 (atan2.f64 im re) (log.f64 base))) (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 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(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 (log.f64 base) (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 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -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 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(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 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(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 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
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 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.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)))
(neg.f64 (/.f64 (neg.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)))
(neg.f64 (/.f64 (neg.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)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 3)
(+.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 2 (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 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) -1))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) 1/3))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (atan2.f64 im re)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (neg.f64 (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))

localize64.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (atan2.f64 im re) (log.f64 base))
✓99.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓96.6%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 35 to 11 computations (68.6% saved)

series5.0ms (0%)

Counts
2 → 44
Calls

18 calls:

TimeVariablePointExpression
0.0ms
base
@inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
0.0ms
base
@inf
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms
base
@-inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
0.0ms
re
@-inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
0.0ms
im
@-inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1002×log-prod
780×exp-prod
616×prod-exp
566×pow-prod-down
534×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
124238
2263338
Stop Event
1×node limit
Counts
2 → 112
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
Outputs
(+.f64 0 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2)
(pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(fabs.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.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) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/4))
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4))
(*.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))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re)) 1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (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)))
(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 (log.f64 base) (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 (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 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
896×associate-/l*
812×fma-def
758×associate-*r/
688×associate-/r*
586×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02833664
15963536
216393524
Stop Event
1×node limit
Counts
156 → 135
Calls
Call 1
Inputs
(*.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))
(/.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 (*.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 0 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2)
(pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(fabs.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.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) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/4))
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/4))
(*.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))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re)) 1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (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)))
(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 (log.f64 base) (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 (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 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
(*.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) (neg.f64 (log.f64 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) (neg.f64 (log.f64 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) (neg.f64 (log.f64 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) (neg.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (atan2.f64 im re)) (log.f64 (/.f64 1 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 (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 (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 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize89.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
99.3%
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 35 to 9 computations (74.3% saved)

series12.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
re
@0
(*.f64 (atan2.f64 im re) (log.f64 base))
5.0ms
im
@0
(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
re
@inf
(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
im
@inf
(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
im
@-inf
(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite75.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1192×log-prod
804×prod-exp
714×pow-prod-down
574×pow-prod-up
500×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
122334
2300534
Stop Event
1×node limit
Counts
2 → 89
Calls
Call 1
Inputs
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (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)
(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)
(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))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.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 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (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 (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 (atan2.f64 im re) (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))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -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 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 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 (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 (log.f64 base) (atan2.f64 im re)) -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 (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))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify115.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1442×associate-/l*
854×fma-def
756×associate-*r/
632×unswap-sqr
612×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02443363
15433251
216703251
Stop Event
1×node limit
Counts
161 → 115
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.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 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (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)
(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)
(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))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.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 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (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 (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 (atan2.f64 im re) (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))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -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 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 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 (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 (log.f64 base) (atan2.f64 im re)) -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 (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))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.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 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 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 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 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) (+.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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.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) (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 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) 2)) (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 3 (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(*.f64 (log.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))
(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)) 2) 1/2)
(*.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 (atan2.f64 im re) (log.f64 base)) 2))
(*.f64 (log.f64 base) (atan2.f64 im re))
(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)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (log.f64 base) (atan2.f64 im re))
(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 (atan2.f64 im re) (log.f64 base))) 1))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (atan2.f64 im re))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 3 (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 2 (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 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.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 (atan2.f64 im re) (log.f64 base))
(*.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 (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 (atan2.f64 im re) (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 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (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 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2)))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.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 (atan2.f64 im re) (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 (atan2.f64 im re) (log.f64 base))
(*.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 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (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))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(*.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 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize140.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓99.2%
(cbrt.f64 (pow.f64 (log.f64 base) 6))
✓98.2%
(pow.f64 (log.f64 base) 6)
Compiler

Compiled 43 to 21 computations (51.2% saved)

series3.0ms (0%)

Counts
3 → 56
Calls

15 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow.f64 (log.f64 base) 6)
1.0ms
base
@-inf
(pow.f64 (log.f64 base) 6)
1.0ms
base
@inf
(pow.f64 (log.f64 base) 6)
0.0ms
base
@-inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
0.0ms
base
@inf
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))

rewrite144.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1250×log-prod
704×pow-prod-down
690×pow-prod-up
626×pow-exp
492×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01565
129855
2350055
Stop Event
1×node limit
Counts
3 → 108
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 6)
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
Outputs
(+.f64 0 (pow.f64 (log.f64 base) 6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 6))) 1)
(*.f64 (pow.f64 (log.f64 base) 6) 1)
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 4))
(*.f64 1 (pow.f64 (log.f64 base) 6))
(*.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 base) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 base) 4) 1) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 4) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 6) 5/6) (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) 12))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 6))))
(cbrt.f64 (pow.f64 (log.f64 base) 18))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 6)))
(exp.f64 (*.f64 6 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 6))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 18)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 6)))
(+.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 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 12) 1/6)
(pow.f64 (pow.f64 (log.f64 base) 18) 1/9)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 6))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (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 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 base (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (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 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re))))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))

simplify110.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1384×log-div
1110×log-prod
996×associate-/r*
936×associate-/l*
606×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02693208
15743090
214982788
369912788
Stop Event
1×node limit
Counts
164 → 143
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(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 (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 (pow.f64 (log.f64 base) 6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 6))) 1)
(*.f64 (pow.f64 (log.f64 base) 6) 1)
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 4))
(*.f64 1 (pow.f64 (log.f64 base) 6))
(*.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 base) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 base) 4) 1) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 4) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 6) 5/6) (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) 12))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 6))))
(cbrt.f64 (pow.f64 (log.f64 base) 18))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 6)))
(exp.f64 (*.f64 6 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 6))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 18)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 6)))
(+.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 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 12) 1/6)
(pow.f64 (pow.f64 (log.f64 base) 18) 1/9)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 6))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (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 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 base (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (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 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re))))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(pow.f64 (log.f64 (/.f64 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 6)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 6)
(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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(+.f64 0 (pow.f64 (log.f64 base) 6))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 6))) 1)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (pow.f64 (log.f64 base) 6) 1)
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 4))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 1 (pow.f64 (log.f64 base) 6))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 2))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (*.f64 (pow.f64 (log.f64 base) 4) 1) (pow.f64 (log.f64 base) 2))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 4) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 4) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 8))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 9)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 6) 5/6) (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (pow.f64 (log.f64 base) 6) 5/6))
(sqrt.f64 (pow.f64 (log.f64 base) 12))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(log.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 6))))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(cbrt.f64 (pow.f64 (log.f64 base) 18))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 6)))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 6 (log.f64 (log.f64 base))))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 6))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 3))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 3))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 3))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 18)) 1/3))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 2))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) 2))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 6)))
(pow.f64 (neg.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 6)
(+.f64 0 (pow.f64 (log.f64 base) 2))
(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 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(*.f64 3 (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)))))
(pow.f64 (log.f64 base) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (log.f64 base) 2)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.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 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (log.f64 base) 2)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 12) 1/6)
(pow.f64 (pow.f64 (log.f64 base) 18) 1/9)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 18) 1/18) (pow.f64 (pow.f64 (log.f64 base) 18) 1/18))
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (log.f64 base) 2)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (log.f64 base) 2)
(log.f64 (pow.f64 base (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (log.f64 base) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 6))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1) 1/3))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/3) 1))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3))
(pow.f64 (log.f64 base) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(+.f64 0 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.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 (*.f64 2 (log.f64 (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 3 (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 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)))
(*.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 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)))
(*.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 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (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 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 4)))
(*.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 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 base (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(*.f64 (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) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re)))) 1) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 4))
(/.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 (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 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3) (pow.f64 (log.f64 base) 6)))
(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 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base)) 6)) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (pow.f64 base (atan2.f64 im re))))) -1))
(/.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 (atan2.f64 im re) (log.f64 base))

eval224.0ms (2.1%)

Compiler

Compiled 10176 to 3922 computations (61.5% saved)

prune119.0ms (1.1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New69014704
Fresh8210
Picked101
Done235
Total70119720
Accurracy
100.0%
Counts
720 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
▶49.2%
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
99.1%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)) -1)
✓51.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶79.9%
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
97.9%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
45.3%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.1%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
45.1%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
97.1%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
▶99.2%
(/.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)))
45.3%
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.1%
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
▶44.9%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.2%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
87.5%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
Compiler

Compiled 452 to 325 computations (28.1% saved)

localize46.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
✓99.2%
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 34 to 13 computations (61.8% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(pow.f64 (log.f64 base) -2)
1.0ms
base
@0
(pow.f64 (log.f64 base) -2)
1.0ms
base
@inf
(pow.f64 (log.f64 base) -2)
0.0ms
re
@-inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms
base
@-inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))

rewrite95.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1142×log-prod
778×prod-exp
736×pow-prod-down
594×pow-prod-up
522×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01244
123944
2277434
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
Outputs
(+.f64 0 (pow.f64 (log.f64 base) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(-.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 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -4) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (log.f64 base) -6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -6)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 2))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 base)) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1)
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (log.f64 (pow.f64 (log.f64 base) -2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))

simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1020×log-prod
890×associate-*r*
792×associate-*l*
612×fma-def
506×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01771993
13771697
29641697
347051697
Stop Event
1×node limit
Counts
109 → 72
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))
(/.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))
(/.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 0 (pow.f64 (log.f64 base) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(-.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 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -4) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (log.f64 base) -6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -6)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 2))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 base)) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1)
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (log.f64 (pow.f64 (log.f64 base) -2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
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 (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 (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 (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 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.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) (log.f64 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))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (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) (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 0 (pow.f64 (log.f64 base) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(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))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (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 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -4) (pow.f64 (cbrt.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)
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(cbrt.f64 (pow.f64 (log.f64 base) -6))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) 1))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) -1))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -6)) 1/3))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) -1)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 base)) -1)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1) (*.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 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (log.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize65.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (log.f64 base) (atan2.f64 im re))
✓99.4%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
Compiler

Compiled 27 to 10 computations (63% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
base
@inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
base
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
base
@0
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
re
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms
im
@-inf
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite70.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1034×log-prod
828×exp-prod
594×prod-exp
570×pow-prod-down
536×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
121717
2266417
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (/.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 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(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 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (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)))))
(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 (log.f64 base) (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 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 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
628×log-prod
492×exp-prod
464×times-frac
458×associate-/l*
444×distribute-lft-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01852172
14312118
29722118
339662118
Stop Event
1×node limit
Counts
100 → 77
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))
(/.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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (/.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 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(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 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (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)))))
(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 (log.f64 base) (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 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 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (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) (log.f64 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))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (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) (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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 3)
(+.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 (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 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (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 (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 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (log.f64 base))) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.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 (atan2.f64 im re) (log.f64 base))
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/6))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(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)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (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 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (neg.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 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize47.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (log.f64 base))
✓99.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓99.2%
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
Compiler

Compiled 33 to 10 computations (69.7% saved)

series87.0ms (0.8%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
30.0ms
base
@0
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
24.0ms
base
@inf
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
17.0ms
base
@-inf
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
6.0ms
im
@0
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
6.0ms
re
@0
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

rewrite387.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1784×pow1
1620×add-exp-log
1616×log1p-expm1-u
1616×expm1-log1p-u
1574×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
122831
2270931
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(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))
Outputs
(+.f64 1 (-.f64 (log.f64 base) 1))
(+.f64 0 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(-.f64 (+.f64 1 (log.f64 base)) 1)
(*.f64 (log.f64 base) 1)
(*.f64 1 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.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 (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) 1))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 1)
(pow.f64 (log.f64 base) -1)
(pow.f64 (cbrt.f64 (log.f64 base)) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) 2))
(log.f64 base)
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base 1))
(-.f64 (+.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (log.f64 (log.f64 base)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (cbrt.f64 (log.f64 base))))
(-.f64 0 (log.f64 (log.f64 base)))
(-.f64 (+.f64 1 (log.f64 (log.f64 base))) 1)
(*.f64 (log.f64 (log.f64 base)) 1)
(*.f64 (log.f64 (log.f64 base)) -1)
(*.f64 1 (log.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))
(*.f64 -1 (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (log.f64 base)) 2) (*.f64 0 (log.f64 (log.f64 base))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 2)) (log.f64 (log.f64 base)))
(pow.f64 (log.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) 2)
(neg.f64 (log.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(log1p.f64 (-.f64 (log.f64 base) 1))

simplify78.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1210×fma-neg
1188×unswap-sqr
1100×fma-def
678×associate-/l*
552×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612947
13282023
212781729
379101729
Stop Event
1×node limit
Counts
125 → 105
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.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)))))))
(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)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 1 (-.f64 (log.f64 base) 1))
(+.f64 0 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(-.f64 (+.f64 1 (log.f64 base)) 1)
(*.f64 (log.f64 base) 1)
(*.f64 1 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.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 (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) 1))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 1)
(pow.f64 (log.f64 base) -1)
(pow.f64 (cbrt.f64 (log.f64 base)) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) 2))
(log.f64 base)
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base 1))
(-.f64 (+.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (log.f64 (log.f64 base)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (cbrt.f64 (log.f64 base))))
(-.f64 0 (log.f64 (log.f64 base)))
(-.f64 (+.f64 1 (log.f64 (log.f64 base))) 1)
(*.f64 (log.f64 (log.f64 base)) 1)
(*.f64 (log.f64 (log.f64 base)) -1)
(*.f64 1 (log.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))
(*.f64 -1 (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (log.f64 base)) 2) (*.f64 0 (log.f64 (log.f64 base))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 2)) (log.f64 (log.f64 base)))
(pow.f64 (log.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) 2)
(neg.f64 (log.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(log1p.f64 (-.f64 (log.f64 base) 1))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base)))))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))))
(/.f64 1 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(+.f64 1 (-.f64 (log.f64 base) 1))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(+.f64 0 (log.f64 base))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(*.f64 2 (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(*.f64 3 (log.f64 (cbrt.f64 base)))
(*.f64 (log.f64 (cbrt.f64 base)) 3)
(-.f64 (+.f64 1 (log.f64 base)) 1)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(*.f64 (log.f64 base) 1)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(*.f64 1 (log.f64 base))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (/.f64 (log.f64 base) 1))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
1
(/.f64 -1 (neg.f64 (log.f64 base)))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(pow.f64 (log.f64 base) 1)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (log.f64 base) -1)
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) 3)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (pow.f64 (log.f64 base) 3) 1/3)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (sqrt.f64 (log.f64 base)) 2)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 base)))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(pow.f64 (exp.f64 1) (log.f64 (log.f64 base)))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(sqrt.f64 (pow.f64 (log.f64 base) 2))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(log.f64 base)
(+.f64 (+.f64 1 (log.f64 base)) -1)
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(expm1.f64 (log1p.f64 (log.f64 base)))
(+.f64 (+.f64 1 (log.f64 base)) -1)
(log.f64 base)
(log1p.f64 (-.f64 base 1))
(log1p.f64 (+.f64 base -1))
(log1p.f64 (+.f64 -1 base))
(-.f64 (+.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.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 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.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 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 1 (-.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
(*.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))
(log1p.f64 (+.f64 -1 (pow.f64 base (atan2.f64 im re))))
(+.f64 0 (log.f64 (log.f64 base)))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(-.f64 0 (log.f64 (log.f64 base)))
(neg.f64 (log.f64 (log.f64 base)))
(-.f64 (+.f64 1 (log.f64 (log.f64 base))) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (log.f64 (log.f64 base)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (log.f64 (log.f64 base)) -1)
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 1 (log.f64 (log.f64 base)))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 -1 (log.f64 (log.f64 base)))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(*.f64 (*.f64 -1 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (log.f64 base)) 2) (*.f64 0 (log.f64 (log.f64 base))))))
(neg.f64 (log.f64 (log.f64 base)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 2)) (log.f64 (log.f64 base)))
(neg.f64 (log.f64 (log.f64 base)))
(pow.f64 (log.f64 (log.f64 base)) 1)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 3)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) 3) 1/3)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) 2)
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(neg.f64 (log.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) 2))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) 3))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log1p.f64 (-.f64 (log.f64 base) 1))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))

localize447.0ms (4.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 1 (atan2.f64 im re))
✓99.7%
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓99.6%
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓93.3%
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
Compiler

Compiled 42 to 22 computations (47.6% saved)

series382.0ms (3.6%)

Counts
4 → 108
Calls

33 calls:

TimeVariablePointExpression
98.0ms
im
@inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
80.0ms
re
@inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
79.0ms
base
@-inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
35.0ms
im
@-inf
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
26.0ms
im
@-inf
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)

rewrite95.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1088×log-prod
682×pow-prod-up
620×pow-exp
600×pow-prod-down
600×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01384
125866
2289366
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
(/.f64 1 (atan2.f64 im re))
Outputs
(+.f64 0 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) 1)
(*.f64 1 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))) 1)
(*.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 base (*.f64 2 (/.f64 1 (atan2.f64 im re))))))
(*.f64 (cbrt.f64 (pow.f64 base (*.f64 2 (/.f64 1 (atan2.f64 im re))))) (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(*.f64 (pow.f64 (sqrt.f64 base) (/.f64 1 (atan2.f64 im re))) (pow.f64 (sqrt.f64 base) (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 base) (*.f64 2 (/.f64 1 (atan2.f64 im re)))) (pow.f64 (cbrt.f64 base) (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))) (log.f64 (sqrt.f64 base))) (pow.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))) (log.f64 (sqrt.f64 base))))
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))) (*.f64 2 (log.f64 (cbrt.f64 base)))) (pow.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))) (log.f64 (cbrt.f64 base))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (pow.f64 base (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))) base)
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (E.f64))
(sqrt.f64 (pow.f64 base (*.f64 2 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (exp.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (pow.f64 base 3) (/.f64 1 (atan2.f64 im re))))
(expm1.f64 (log1p.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 base) (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (*.f64 (*.f64 (log.f64 base) 1) (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (*.f64 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
(exp.f64 (*.f64 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)))
(exp.f64 (*.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 base (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 base (pow.f64 (atan2.f64 im re) -1/2))) (pow.f64 (atan2.f64 im re) -1/2)))
(exp.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (+.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(log1p.f64 (expm1.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 2 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) (*.f64 2 (/.f64 1 (atan2.f64 im re))))) (log.f64 (pow.f64 (cbrt.f64 base) (/.f64 1 (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 (pow.f64 base (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 base)))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 (pow.f64 base (pow.f64 (atan2.f64 im re) -1/2))))
(*.f64 2 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) 1) (/.f64 1 (atan2.f64 im re)))
(*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) 1) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) -1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(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 (log.f64 base) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -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 2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (/.f64 1 (atan2.f64 im re)))
(+.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)
(*.f64 1 (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) 1)
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(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (atan2.f64 im re) -1)
(pow.f64 (/.f64 1 (atan2.f64 im re)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (cbrt.f64 (atan2.f64 im re)) -3)
(pow.f64 (pow.f64 (atan2.f64 im re) -2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 im re) -3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) 2) -1/2)
(pow.f64 (pow.f64 (atan2.f64 im re) 3) -1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(pow.f64 (sqrt.f64 (atan2.f64 im re)) -2)
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) -1)
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (atan2.f64 im re))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))
(fma.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (/.f64 1 (atan2.f64 im re)) 1/2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))

simplify157.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1408×times-frac
926×exp-prod
788×log-prod
716×unswap-sqr
574×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03645700
17885486
229755486
Stop Event
1×node limit
Counts
268 → 196
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
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(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (pow.f64 base (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))) base)
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(cbrt.f64 (pow.f64 (pow.f64 base 3) (/.f64 1 (atan2.f64 im re))))
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(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 base) (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (*.f64 (*.f64 (log.f64 base) 1) (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (*.f64 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
(exp.f64 (*.f64 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)))
(exp.f64 (*.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 base (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))) (/.f64 1 (cbrt.f64 (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 base (pow.f64 (atan2.f64 im re) -1/2))) (pow.f64 (atan2.f64 im re) -1/2)))
(exp.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (+.f64 (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (log.f64 base) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))
(log1p.f64 (expm1.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 2 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) (*.f64 2 (/.f64 1 (atan2.f64 im re))))) (log.f64 (pow.f64 (cbrt.f64 base) (/.f64 1 (atan2.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 (pow.f64 base (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 base)))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 (pow.f64 base (pow.f64 (atan2.f64 im re) -1/2))))
(*.f64 2 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) 1) (/.f64 1 (atan2.f64 im re)))
(*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (*.f64 2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) 1) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) -1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(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 (log.f64 base) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -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 2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (/.f64 1 (atan2.f64 im re)))
(+.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)
(*.f64 1 (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (atan2.f64 im re) -1)
(pow.f64 (/.f64 1 (atan2.f64 im re)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (cbrt.f64 (atan2.f64 im re)) -3)
(pow.f64 (pow.f64 (atan2.f64 im re) -2) 1/2)
(pow.f64 (pow.f64 (atan2.f64 im re) -3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) 2) -1/2)
(pow.f64 (pow.f64 (atan2.f64 im re) 3) -1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(pow.f64 (sqrt.f64 (atan2.f64 im re)) -2)
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) -1)
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (atan2.f64 im re))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))
(fma.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (/.f64 1 (atan2.f64 im re)) 1/2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
Outputs
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
(exp.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 base (/.f64 1 (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 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) (log.f64 (log.f64 base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) (log.f64 (log.f64 base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (atan2.f64 im re)) -1)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 3 (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 2 (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 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (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 (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 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 0 (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(+.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 1 (atan2.f64 im re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)
(/.f64 1 (atan2.f64 im re))
(*.f64 1 (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) 1)
(/.f64 1 (atan2.f64 im re))
(*.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 1 (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) -1)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (/.f64 1 (atan2.f64 im re)) 1)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) -3)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) -2) 1/2)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) -3) 1/3)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 2) -1/2)
(pow.f64 (pow.f64 (atan2.f64 im re) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) 3) -1/6) (pow.f64 (pow.f64 (atan2.f64 im re) 3) -1/6))
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (sqrt.f64 (atan2.f64 im re)) -2)
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) -1)
(/.f64 1 (atan2.f64 im re))
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(/.f64 1 (atan2.f64 im re))
(log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (atan2.f64 im re) -3))
(/.f64 1 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) -1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1) 1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1) 1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (atan2.f64 im re)))) 3))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) -3)) 1/3))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (atan2.f64 im re))) 2))
(/.f64 1 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(fma.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 1 (atan2.f64 im re))
(fma.f64 (/.f64 1 (atan2.f64 im re)) 1/2 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 1 (atan2.f64 im re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) 2) (cbrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 1 (atan2.f64 im re))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (sqrt.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 1 (atan2.f64 im re))

localize75.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
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)
✓96.6%
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
Compiler

Compiled 47 to 16 computations (66% saved)

series38.0ms (0.4%)

Counts
3 → 80
Calls

27 calls:

TimeVariablePointExpression
30.0ms
re
@inf
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
1.0ms
base
@inf
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
0.0ms
base
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
0.0ms
base
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
0.0ms
re
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)

rewrite77.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1138×log-prod
654×pow-prod-down
616×pow-prod-up
614×pow-exp
444×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01461
129055
2311755
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(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 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
Outputs
(+.f64 0 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4))
(/.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (atan2.f64 im re))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -1/2))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
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simplify85.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1372×associate-/l*
940×fma-def
696×distribute-lft-in
644×distribute-rgt-in
634×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03495077
17404901
221364901
Stop Event
1×node limit
Counts
231 → 183
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4))
(/.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (atan2.f64 im re))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/4)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(+.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/4))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 5/6) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 -1 (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (pow.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) 1/2) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 base) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.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 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.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 (log.f64 base) (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 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re))
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(/.f64 (sqrt.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 base) 1) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 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))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) -1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2) -1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) -1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 3 (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 2 (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 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.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 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.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 (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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))
(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (sqrt.f64 (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 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.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)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(/.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 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (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 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.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 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.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 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.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 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.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 (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)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1/2) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval271.0ms (2.6%)

Compiler

Compiled 11194 to 5002 computations (55.3% saved)

prune136.0ms (1.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New7968804
Fresh4711
Picked101
Done257
Total80320823
Accurracy
100.0%
Counts
823 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
99.0%
(pow.f64 (*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
98.9%
(pow.f64 (*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
▶97.9%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
45.3%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.1%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
45.1%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
✓99.2%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.1%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
▶79.9%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.1%
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
✓44.9%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶12.9%
(*.f64 (atan2.f64 im re) 1)
▶99.2%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.1%
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
▶87.5%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
Compiler

Compiled 457 to 330 computations (27.8% saved)

localize83.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓99.4%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓99.3%
(pow.f64 (log.f64 base) 2)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts
3 → 52
Calls

21 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
0.0ms
im
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
0.0ms
re
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
0.0ms
im
@-inf
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
0.0ms
im
@0
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

rewrite101.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1152×log-prod
732×prod-exp
706×pow-prod-down
588×pow-prod-up
500×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01267
124267
2290651
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 2)
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
Outputs
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (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 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 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))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(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 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (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 (log.f64 base)) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))

simplify184.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1626×times-frac
992×fma-def
854×associate-/l*
758×associate-/r*
568×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02763741
15943299
216643299
Stop Event
1×node limit
Counts
163 → 134
Calls
Call 1
Inputs
(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 (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 (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 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (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 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 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))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (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)))
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(+.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 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(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 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))) -1)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (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 (log.f64 base)) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) 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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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 (neg.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 (neg.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 (neg.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 (+.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 0 (pow.f64 (log.f64 base) 2))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(*.f64 3 (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)))))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.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 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 5) (cbrt.f64 (log.f64 base)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(log.f64 (pow.f64 base (log.f64 base)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1) 1))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 3 (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 2 (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)
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 6)) 1/3))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 -2 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(/.f64 (atan2.f64 im re) (pow.f64 (neg.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))

localize32.0ms (0.3%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize551.0ms (5.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 1 (atan2.f64 im re))
✓99.7%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
99.6%
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
93.3%
(pow.f64 base (/.f64 1 (atan2.f64 im re)))
Compiler

Compiled 41 to 21 computations (48.8% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
base
@inf
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
0.0ms
base
@0
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
0.0ms
base
@-inf
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
0.0ms
re
@inf
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
0.0ms
im
@inf
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))

rewrite115.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1072×log-prod
674×pow-prod-up
608×prod-exp
602×pow-exp
592×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
123917
2283617
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (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 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(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 (log.f64 base) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1104×fma-def
780×associate-/r*
770×distribute-lft-in
746×distribute-rgt-in
720×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01081434
12331400
25331400
321231400
Stop Event
1×node limit
Counts
74 → 46
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))
(/.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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (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 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(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 (log.f64 base) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
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) (log.f64 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))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (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) (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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 3)
(+.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 (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 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (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 (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 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2))
(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 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/6))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (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 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize79.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (log.f64 base) (atan2.f64 im re))
✓99.0%
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
✓87.7%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
Compiler

Compiled 36 to 13 computations (63.9% saved)

series11.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
re
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
base
@0
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
re
@-inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
1.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)

rewrite70.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1094×log-prod
614×prod-exp
596×pow-prod-up
592×pow-prod-down
564×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01250
124046
2287340
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (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)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.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)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9) 1/9)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 2/3)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) 2)
(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)))))
(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 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 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 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) -3/2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))) 1)
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(*.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -6) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) 2))
(exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))

simplify118.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1710×times-frac
1052×associate-*r/
960×associate-*l/
790×fma-def
678×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02524294971571
15603839
215903839
Stop Event
1×node limit
Counts
169 → 121
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))
(/.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 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (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 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (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)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.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)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6) 1/6)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9) 1/9)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 2/3)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) 2)
(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)))))
(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 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -3))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 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 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) -3/2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))) 1)
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(*.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -6) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) 2))
(exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
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 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
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(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -6))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.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))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -9)) 1/3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)) -3/2))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) 2))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

localize72.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
✓98.9%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓93.6%
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 35 to 11 computations (68.6% saved)

series29.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
12.0ms
base
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
im
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
im
@0
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms
base
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
1.0ms
im
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite144.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1020×log-prod
790×exp-prod
610×prod-exp
574×pow-prod-down
556×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
124438
2270538
Stop Event
1×node limit
Counts
2 → 113
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
Outputs
(+.f64 0 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/6)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/9)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/3)
(pow.f64 (exp.f64 1/3) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1)
(pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.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) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) 3/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 1 (/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (*.f64 (cbrt.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/6))
(*.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) (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))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.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)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2))
(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 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify130.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1362×fma-def
1120×associate-*r/
1106×distribute-lft-in
1008×distribute-rgt-in
438×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02884294971561
16234171
219354171
Stop Event
1×node limit
Counts
185 → 135
Calls
Call 1
Inputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
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(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
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(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.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)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2))
(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 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 0 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (fma.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3/2))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval193.0ms (1.8%)

Compiler

Compiled 9871 to 4215 computations (57.3% saved)

prune103.0ms (1%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New6933696
Fresh3710
Picked011
Done099
Total69620716
Accurracy
100.0%
Counts
716 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
✓97.9%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
97.7%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.1%
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
45.1%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
✓99.2%
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
99.1%
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
99.2%
(/.f64 1 (*.f64 (log.f64 (cbrt.f64 base)) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))
99.0%
(/.f64 1 (*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
98.9%
(/.f64 1 (*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
✓79.9%
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓99.4%
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓99.4%
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
50.1%
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
✓44.9%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓12.9%
(*.f64 (atan2.f64 im re) 1)
✓99.2%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
99.1%
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
✓87.5%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
Compiler

Compiled 263 to 191 computations (27.4% saved)

regimes103.0ms (1%)

Accuracy

Total -62.7b remaining (-22598.4%)

Threshold costs -62.7b (-22598.4%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 (atan2.f64 im re) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 1 (*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (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)))))
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)) -1)
(pow.f64 (*.f64 1/3 (*.f64 3 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(pow.f64 (*.f64 3 (*.f64 1/3 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(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 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 (cbrt.f64 base)) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1)
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.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))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 6) 1/3)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

20.0ms
base
19.0ms
(log.f64 base)
19.0ms
re
18.0ms
im
16.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Results
AccuracySegmentsBranch
99.6%1re
99.6%1im
99.6%1base
99.6%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
99.6%1(log.f64 base)
Compiler

Compiled 539 to 232 computations (57% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-rgt-identity
2×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11424
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) 1)
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) 1)
(atan2.f64 im re)
Compiler

Compiled 15 to 10 computations (33.3% saved)

soundness501.0ms (4.8%)

Rules
1988×fma-def
1908×pow1
1784×pow1
1752×pow1
1738×add-exp-log
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02139
14437
27123
39717
412817
527117
695717
7228717
8335717
9512017
10572417
11681117
12786917
0917
117617
2217017
01128
121228
2247828
01243
122831
2270931
01612947
13282023
212781729
379101729
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 397 to 149 computations (62.5% saved)

end33.0ms (0.3%)

Compiler

Compiled 86 to 52 computations (39.5% saved)

Profiling

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