Metrics for math.log/2 on complex, imaginary part

analyze201.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample2.9s (36.3%)

Results

2.2s	8256×	body	256	valid
641.0ms	2038×	body	256	invalid

Bogosity

preprocess181.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Problems

138×	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
117×	No Errors
1×	`(*.f64 (atan2.f64 im re) (log.f64 base))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	257	624
2	515	376
3	960	322
4	1826	322
5	4769	322
6	6879	322

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0))))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) 0) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (neg.f64 base)) 1))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im (neg.f64 re))) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 (neg.f64 im) re)) (log.f64 base))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (.f64 0 0))))
(/.f64 (neg.f64 (fma.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)) 0)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (log.f64 (neg.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (neg.f64 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(/.f64 (/.f64 (atan2.f64 im base) 1) (log.f64 re))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler: Compiled 42 to 14 computations (66.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 50 to 30 computations (40% saved)

localize55.0ms (0.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	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)
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series75.0ms (0.9%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
16.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite184.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`log-prod`
924×	`log1p-expm1-u`
924×	`expm1-log1p-u`
426×	`pow-exp`
342×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	197	111
2	2542	111

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))

Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (*.f64 2 (log.f64 (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (pow.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2) (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))

simplify171.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

898×	`log-prod`
750×	`fma-neg`
552×	`exp-prod`
504×	`cube-prod`
464×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	7763
1	785	6597
2	3082	6597

Stop Event

1×	node limit

Counts

239 → 175

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (*.f64 2 (log.f64 (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (pow.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 2) (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))

Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
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(pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 (exp.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1/3))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval35.0ms (0.4%)

Compiler: Compiled 2788 to 968 computations (65.3% saved)

prune126.0ms (1.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	152	23	175
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	153	24	177

Accuracy

100.0%

Counts

177 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	49.1%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
▶	99.1%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	99.4%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.1%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
	98.1%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
	98.2%	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	46.1%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.1%	(/.f64 (.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 (log.f64 base) (log.f64 base)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	57.4%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	89.8%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	98.2%	(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	99.3%	(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	47.5%	(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
	48.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	89.4%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
▶	44.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	49.1%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
▶	99.1%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	99.4%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.1%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
	98.1%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
	98.2%	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	46.1%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.1%	(/.f64 (.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 (log.f64 base) (log.f64 base)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	57.4%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	89.8%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	98.2%	(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	99.3%	(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	47.5%	(sqrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (log.f64 base) 4)))
	48.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	89.4%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1498 to 976 computations (34.8% saved)

localize181.0ms (2.3%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	99.9%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	99.8%	(*.f64 (log.f64 base) (log.f64 base))
✓	97.9%	(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	100.0%	(sqrt.f64 (log.f64 base))
✓	99.9%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
✓	99.9%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	97.8%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
✓	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	99.9%	(/.f64 1 (log.f64 base))
✓	99.9%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 163 to 40 computations (75.5% saved)

series45.0ms (0.6%)

Counts

12 → 348

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
3.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
2.0ms	im	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	base	@	-inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	base	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

rewrite182.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1021×	`log1p-expm1-u`
524×	`expm1-udef`
524×	`log1p-udef`
366×	`expm1-log1p-u`
236×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	321
1	448	321
2	4888	321

Stop Event

1×	node limit

Counts

12 → 539

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (neg.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 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.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 (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 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (neg.f64 (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 (neg.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))) (neg.f64 (neg.f64 (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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) 1/4)) (pow.f64 (log.f64 base) 1/4))
(/.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(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 (atan2.f64 im re) (log.f64 base)) 6) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (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))
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(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 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (log.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))) 1)
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 1 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 1)
(*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3))
(.f64 (pow.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) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.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 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3/2) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 3) (*.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3))
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 1) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (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 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 3))
(expm1.f64 (log1p.f64 (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)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))

simplify294.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

934×	`log-prod`
902×	`associate-/l*`
738×	`log-div`
696×	`exp-prod`
638×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	747	29924
1	1693	29098
2	5891	28955

Stop Event

1×	node limit

Counts

887 → 456

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 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (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 (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 (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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re))
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(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (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))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))
(*.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 1/4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 1/4)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 base)))))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 1/2)
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(-.f64 (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 (log.f64 base) (atan2.f64 im re))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.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)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 1 1/3) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (pow.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(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)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))) 1)
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(.f64 1 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(*.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 1 (log.f64 base)) (.f64 (log.f64 base) (/.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 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(.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 (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2) (cbrt.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.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 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (.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 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (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 (/.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 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 3)
(pow.f64 (pow.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) (atan2.f64 im re)) -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) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 2))
(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 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (log.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))) 1)
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 1 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 1)
(*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3))
(.f64 (pow.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) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(.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 (atan2.f64 im re) (log.f64 base)) 2)))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3/2) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 3) (*.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3))
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 1) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (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 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 3))
(expm1.f64 (log1p.f64 (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)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 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 (atan2.f64 im re) (log.f64 base))
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(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.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) (cbrt.f64 (pow.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) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(pow.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) (atan2.f64 im re)) -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) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 (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)))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(log1p.f64 (+.f64 -1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 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))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))
(log1p.f64 (+.f64 -1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))) 1)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 1 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 1)
(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 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.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 (*.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.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 (atan2.f64 im re) (log.f64 base)) 2)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3/2) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3/2))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 3) (*.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (atan2.f64 im re)) (log.f64 base))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 1) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) (log.f64 base)) (atan2.f64 im re))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 3))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (atan2.f64 im re) (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)))))
(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))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)

eval181.0ms (2.3%)

Compiler: Compiled 9019 to 3288 computations (63.5% saved)

prune220.0ms (2.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	551	15	566
Fresh	13	5	18
Picked	4	1	5
Done	0	1	1
Total	568	22	590

Accuracy

100.0%

Counts

590 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
	97.9%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3) -1)
	49.1%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
	99.0%	(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)) -1)
▶	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	45.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
	83.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	88.4%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) -1)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	89.8%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.6%	(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	98.9%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
▶	99.3%	(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	48.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	89.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
	47.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
	97.9%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3) -1)
	49.1%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
	99.0%	(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)) -1)
▶	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	45.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
	83.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	88.4%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) -1)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	89.8%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.6%	(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	98.9%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
▶	99.3%	(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	48.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	89.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))

Compiler

Compiled 1120 to 820 computations (26.8% saved)

localize211.0ms (2.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓	99.7%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓	99.6%	(pow.f64 (log.f64 base) 2)
	99.7%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	95.9%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.6%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
✓	95.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.6%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.8%	(/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2)))
✓	99.8%	(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
✓	99.8%	(*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
✓	99.6%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 173 to 51 computations (70.5% saved)

series56.0ms (0.7%)

Counts

12 → 296

Calls

90 calls:

Time	Variable		Point	Expression
33.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
2.0ms	im	@	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
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	base	@	-inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)

rewrite184.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u`
456×	`expm1-udef`
456×	`log1p-udef`
336×	`associate-r`
316×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	441
1	445	292
2	5608	292

Stop Event

1×	node limit

Counts

12 → 670

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(*.f64 (atan2.f64 im re) (neg.f64 (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 1 (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

Outputs
(+.f64 0 (pow.f64 (log.f64 base) 2))
(-.f64 0 (pow.f64 (log.f64 base) 2))
(-.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 (pow.f64 (log.f64 base) 2) -1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 -1 (pow.f64 (log.f64 base) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 -1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
(/.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 -1 (pow.f64 (log.f64 base) -2))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (-.f64 0 (pow.f64 (pow.f64 (log.f64 base) 2) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 base) 4) (*.f64 0 (pow.f64 (log.f64 base) 2)))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
(neg.f64 (pow.f64 (log.f64 base) 2))
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 0 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(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)
(neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(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))
(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))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 base) (atan2.f64 im re))) 1))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(-.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 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.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 -1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (atan2.f64 im re))) 2) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (.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 (sqrt.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (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) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.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)) -1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) -1) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) -1) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(neg.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 (.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (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 -3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)
(*.f64 1 (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(*.f64 -1 (pow.f64 (log.f64 base) -2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 2) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) -1) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -1))
(pow.f64 (log.f64 base) -2)
(pow.f64 (pow.f64 (log.f64 base) 2) -1)
(pow.f64 (pow.f64 (log.f64 base) -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) 1/3)
(pow.f64 (/.f64 1 (log.f64 base)) 2)
(sqrt.f64 (/.f64 1 (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 (pow.f64 (log.f64 base) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.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 base) -2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(.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 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 4))) (.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (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 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (.f64 (cbrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (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 (atan2.f64 im re)) (log.f64 base)) (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (log.f64 base)))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 1 (log.f64 base)) (.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4))
(.f64 (/.f64 (log.f64 base) 1) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (log.f64 base) (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 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (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) (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 (atan2.f64 im re) 1) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (atan2.f64 im re) -1) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (log.f64 base) -1) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
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(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) 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)
(neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (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))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))

simplify311.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-l`
904×	`log-prod`
700×	`exp-prod`
686×	`fma-def`
576×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	32709
1	1354	31763
2	5250	30875

Stop Event

1×	node limit

Counts

966 → 397

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 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 -1 (.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 -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 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (sqrt.f64 -1))
(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)))
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(cbrt.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (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 -3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.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 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (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 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.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 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.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 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) 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)
(neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (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))
(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 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
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(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
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(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(neg.f64 (*.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))) (neg.f64 (atan2.f64 im re)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(neg.f64 (*.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))) (neg.f64 (atan2.f64 im re)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(neg.f64 (*.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))) (neg.f64 (atan2.f64 im re)))
(.f64 -1 (.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(neg.f64 (*.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))) (neg.f64 (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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(/.f64 (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 (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 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(/.f64 -1 (pow.f64 (log.f64 base) 2))
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(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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))
(expm1.f64 (log1p.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))
(exp.f64 (log.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))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 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))
(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))

eval320.0ms (4%)

Compiler: Compiled 11785 to 4723 computations (59.9% saved)

prune133.0ms (1.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	737	8	745
Fresh	10	5	15
Picked	2	3	5
Done	0	2	2
Total	749	18	767

Accuracy

100.0%

Counts

767 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
✓	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	45.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
▶	47.2%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	98.8%	(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	89.8%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
	97.9%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	83.5%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
▶	88.4%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	99.2%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	89.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
	47.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
✓	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	45.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
▶	47.2%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	98.8%	(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	89.8%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
	97.9%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	83.5%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
▶	88.4%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	99.2%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	89.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))

Compiler

Compiled 822 to 604 computations (26.5% saved)

localize208.0ms (2.6%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
✓	99.7%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)
✓	93.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.6%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)
✓	99.6%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	94.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
	99.7%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	95.5%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.8%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓	99.6%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.7%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
✓	99.7%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
✓	99.6%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 187 to 57 computations (69.5% saved)

series240.0ms (3%)

Counts

14 → 444

Calls

117 calls:

Time	Variable		Point	Expression
82.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
21.0ms	base	@	inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
18.0ms	re	@	-inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
15.0ms	base	@	-inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
14.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)

rewrite182.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log1p-expm1-u`
807×	`expm1-log1p-u`
460×	`expm1-udef`
460×	`log1p-udef`
268×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	472
1	460	371
2	4533	371

Stop Event

1×	node limit

Counts

14 → 586

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))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 1 (atan2.f64 im re))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)

Outputs
(-.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 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(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 (pow.f64 (log.f64 base) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 -2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (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 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(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 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 2/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))
(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 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))) 1)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) 2)
(sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) -2)) (atan2.f64 im re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(exp.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(-.f64 (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 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -4))) (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 base) -2) (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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))) (.f64 (cbrt.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 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) (.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) (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) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
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(*.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (/.f64 1 (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -3/2) (pow.f64 (log.f64 base) -3/2))
(*.f64 (pow.f64 1 -3/2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(sqrt.f64 (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)) -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))
(exp.f64 (*.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))

simplify344.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`log-prod`
1080×	`associate-r`
1008×	`associate-l`
530×	`times-frac`
476×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	659	35164
1	1373	34377
2	6022	34375

Stop Event

1×	node limit

Counts

1030 → 425

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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (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))
(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)
(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)
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(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)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (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 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (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))))))
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(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(*.f64 (/.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) (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 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (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 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (log.f64 base) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) -4)))) (cbrt.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(.f64 (.f64 (log.f64 base) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (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 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))
(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 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.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 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (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)) -3/4))
(*.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (/.f64 1 (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -3/2) (pow.f64 (log.f64 base) -3/2))
(*.f64 (pow.f64 1 -3/2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(sqrt.f64 (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)) -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))
(exp.f64 (*.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)))

Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
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(*.f64 (pow.f64 1 -3/2) (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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3/2))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) 3))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 7/6) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(fabs.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2))
(log.f64 (exp.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)
(log.f64 (+.f64 1 (expm1.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)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2) 3))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
(expm1.f64 (log1p.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)
(exp.f64 (*.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(pow.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)) -3/2)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)

eval289.0ms (3.6%)

Compiler: Compiled 11918 to 5261 computations (55.9% saved)

prune175.0ms (2.2%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	726	4	730
Fresh	3	5	8
Picked	0	5	5
Done	0	5	5
Total	729	19	748

Accuracy

100.0%

Counts

748 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
	47.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
	56.2%	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
✓	49.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	45.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	47.2%	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/2)) 2)
✓	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	98.9%	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	89.2%	(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)) (log.f64 base)))
	83.5%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	88.4%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	99.2%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	89.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	89.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))

Compiler

Compiled 904 to 455 computations (49.7% saved)

regimes116.0ms (1.5%)

Accuracy

Total -63.2b remaining (-19969.1%)

Threshold costs -63.2b (-19969.1%)

Counts

53 → 1

Calls

Call 1

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

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Calls

5 calls:

23.0ms	(log.f64 base)
22.0ms	base
22.0ms	im
22.0ms	re
17.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 702 to 299 computations (57.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness133.0ms (1.7%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	257	624
2	515	376
3	960	322
4	1826	322
5	4769	322
6	6879	322

Stop Event

1×	node limit

Compiler

Compiled 117 to 41 computations (65% saved)

end0.0ms (0%)

preprocess27.0ms (0.3%)

Compiler: Compiled 80 to 52 computations (35% saved)

analyze201.0ms (2.5%)

sample2.9s (36.3%)

preprocess181.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize55.0ms (0.7%)

series75.0ms (0.9%)

rewrite184.0ms (2.3%)

simplify171.0ms (2.1%)

eval35.0ms (0.4%)

prune126.0ms (1.6%)

localize181.0ms (2.3%)

series45.0ms (0.6%)

rewrite182.0ms (2.3%)

simplify294.0ms (3.7%)

eval181.0ms (2.3%)

prune220.0ms (2.8%)

localize211.0ms (2.7%)

series56.0ms (0.7%)

rewrite184.0ms (2.3%)

simplify311.0ms (3.9%)

eval320.0ms (4%)

prune133.0ms (1.7%)

localize208.0ms (2.6%)

series240.0ms (3%)

rewrite182.0ms (2.3%)

simplify344.0ms (4.3%)

eval289.0ms (3.6%)

prune175.0ms (2.2%)

regimes116.0ms (1.5%)

simplify2.0ms (0%)

soundness133.0ms (1.7%)

end0.0ms (0%)

preprocess27.0ms (0.3%)

Profiling