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

analyze222.0ms (2.7%)

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (26.6%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess195.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-*r/`
378×	`associate--l+`
346×	`associate-r`
314×	`fma-neg`
308×	`associate-+l-`

Problems

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	225	624
2	466	376
3	952	322
4	1804	322
5	4954	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 (atan2.f64 im re) (/.f64 (log.f64 base) 1))
(/.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 (atan2.f64 im re) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im (neg.f64 re))))
(*.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 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (/.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.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)))
(/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im (neg.f64 re)))) (.f64 (log.f64 base) (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 (-.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)))
(/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 (neg.f64 im) re))) (.f64 (log.f64 base) (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))))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(neg.f64 (/.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 (/.f64 (atan2.f64 base re) 1) (log.f64 im))
(/.f64 (atan2.f64 base re) (log.f64 im))

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler: Compiled 42 to 15 computations (64.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.4%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 50 to 30 computations (40% saved)

localize57.0ms (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)
✓	99.1%	(*.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)

series88.0ms (1%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
20.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
15.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
12.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite300.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`associate-/r*`
682×	`associate-/l*`
659×	`associate-*r/`
467×	`*-commutative`
454×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	197	111
2	2617	111

Stop Event

1×	node limit

Counts

4 → 159

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

simplify106.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

675×	`distribute-lft-in`
668×	`distribute-rgt-in`
309×	`times-frac`
245×	`associate-r`
223×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	337	8507
1	817	7430
2	4194	7430

Stop Event

1×	node limit

Counts

251 → 192

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

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

eval40.0ms (0.5%)

Compiler: Compiled 3196 to 1046 computations (67.3% saved)

prune58.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	175	17	192
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	176	18	194

Accuracy

100.0%

Counts

194 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	99.1%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶	51.5%	(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)
	99.2%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (.f64 3 (log.f64 (cbrt.f64 base)))))
▶	50.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (*.f64 (log.f64 (log.f64 base)) 2)))
	98.1%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	51.4%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	99.2%	(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 (/.f64 1 (/.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	99.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	97.3%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))
	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	99.1%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶	51.5%	(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)
	99.2%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (.f64 3 (log.f64 (cbrt.f64 base)))))
▶	50.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (*.f64 (log.f64 (log.f64 base)) 2)))
	98.1%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	51.4%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	99.2%	(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 (/.f64 1 (/.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	99.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	97.3%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))
	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 1046 to 684 computations (34.6% saved)

localize204.0ms (2.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (log.f64 base))
✓	99.9%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (*.f64 (log.f64 (log.f64 base)) 2)))
	99.8%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.3%	(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.9%	(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
	99.7%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.7%	(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	97.9%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	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))
✓	99.8%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 165 to 48 computations (70.9% saved)

series234.0ms (2.8%)

Counts

12 → 260

Calls

87 calls:

Time	Variable		Point	Expression
145.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
35.0ms	base	@	0	(log.f64 (log.f64 base))
17.0ms	base	@	-inf	(log.f64 (log.f64 base))
13.0ms	base	@	inf	(log.f64 (log.f64 base))
1.0ms	base	@	-inf	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)

rewrite218.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`associate-/r/`
645×	`associate-/l/`
171×	`pow1`
162×	`add-exp-log`
160×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	327
1	445	309
2	5320	309

Stop Event

1×	node limit

Counts

12 → 649

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))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (*.f64 (log.f64 (log.f64 base)) 2)))
(log.f64 (log.f64 base))

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

simplify296.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

763×	`times-frac`
635×	`associate-/l*`
478×	`associate-/r*`
428×	`*-commutative`
345×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	860	29419
1	2054	28693

Stop Event

1×	node limit

Counts

909 → 549

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

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

eval270.0ms (3.2%)

Compiler: Compiled 11173 to 4221 computations (62.2% saved)

prune155.0ms (1.9%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	680	13	693
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	689	22	711

Accuracy

100.0%

Counts

711 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	50.6%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	80.2%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	88.5%	(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))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	99.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.0%	(/.f64 -1 (*.f64 (log.f64 base) (/.f64 -1 (atan2.f64 im re))))
	51.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	51.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	91.6%	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	51.1%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	50.8%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	50.6%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	80.2%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	88.5%	(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))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	99.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.0%	(/.f64 -1 (*.f64 (log.f64 base) (/.f64 -1 (atan2.f64 im re))))
	51.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	51.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	91.6%	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	51.1%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.3%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	50.8%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 1052 to 758 computations (27.9% saved)

localize178.0ms (2.1%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	96.3%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.4%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	96.0%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	97.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.7%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 155 to 32 computations (79.4% saved)

series49.0ms (0.6%)

Counts

9 → 324

Calls

81 calls:

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

rewrite258.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`associate-/r/`
331×	`associate-/l/`
288×	`distribute-lft-neg-in`
267×	`distribute-rgt-neg-in`
220×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	345
1	315	250
2	3973	250

Stop Event

1×	node limit

Counts

9 → 1016

Calls

Call 1

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

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

simplify418.0ms (5%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-/l*`
694×	`associate-l`
595×	`associate-/r*`
470×	`*-commutative`
400×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	790	59888
1	2103	58066

Stop Event

1×	node limit

Counts

1340 → 480

Calls

Call 1

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

eval342.0ms (4.1%)

Compiler: Compiled 20998 to 7731 computations (63.2% saved)

prune318.0ms (3.8%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1213	7	1220
Fresh	8	6	14
Picked	1	4	5
Done	0	3	3
Total	1222	20	1242

Accuracy

100.0%

Counts

1242 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	50.5%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	49.5%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -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))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	99.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
✓	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)))
	80.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	51.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	51.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	91.6%	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	51.1%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	50.5%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	49.5%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -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))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	99.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
✓	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)))
	80.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	51.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	51.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	91.6%	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	51.1%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 840 to 610 computations (27.4% saved)

localize162.0ms (1.9%)

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 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	99.6%	(pow.f64 (log.f64 base) 2)
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	96.2%	(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	98.8%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	96.4%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.7%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓	99.7%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.7%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 158 to 42 computations (73.4% saved)

series319.0ms (3.8%)

Counts

11 → 256

Calls

87 calls:

Time	Variable		Point	Expression
127.0ms	im	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
71.0ms	re	@	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
18.0ms	re	@	-inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
18.0ms	base	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
15.0ms	base	@	-inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite278.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`associate-/r/`
473×	`associate-/l/`
291×	`distribute-rgt-in`
268×	`distribute-lft-in`
141×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	371
1	357	276
2	4270	276

Stop Event

1×	node limit

Counts

11 → 980

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (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))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (log.f64 base) 2)
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

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

simplify552.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

757×	`associate-/l*`
591×	`associate-/r*`
440×	`*-commutative`
345×	`associate-*l/`
269×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	972	47032
1	2386	44720

Stop Event

1×	node limit

Counts

1236 → 609

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (log.f64 (/.f64 1 base)) (atan2.f64 im re))) (sqrt.f64 -1))
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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)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) 1)) (log.f64 base))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (atan2.f64 im re)))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 2)
(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)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (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)
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -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) (+.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)))))
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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)))))
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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)))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -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) (+.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))))
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(/.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)))))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.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))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
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(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
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(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
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(log.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
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(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
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eval186.0ms (2.2%)

Compiler: Compiled 13434 to 5008 computations (62.7% saved)

prune318.0ms (3.8%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	850	2	852
Fresh	1	7	8
Picked	0	5	5
Done	0	7	7
Total	851	21	872

Accuracy

100.0%

Counts

872 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	50.5%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	49.5%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -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))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	99.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	99.0%	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
	99.0%	(/.f64 1 (/.f64 (.f64 1 (.f64 3 (log.f64 (cbrt.f64 base)))) (atan2.f64 im re)))
✓	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)))
	80.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	51.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	91.6%	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	51.1%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	50.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 749 to 386 computations (48.5% saved)

regimes97.0ms (1.2%)

Accuracy

Total -56.8b remaining (-17954.2%)

Threshold costs -56.8b (-17954.2%)

Counts

42 → 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 (log.f64 base) (/.f64 -1 (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)))))
(/.f64 1 (/.f64 (.f64 1 (.f64 3 (log.f64 (cbrt.f64 base)))) (atan2.f64 im re)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(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 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 1 (/.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) -1)
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (*.f64 (log.f64 (log.f64 base)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (.f64 3 (log.f64 (cbrt.f64 base)))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))

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

Calls

5 calls:

20.0ms	base
18.0ms	(log.f64 base)
17.0ms	im
17.0ms	re
15.0ms	(/.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 532 to 223 computations (58.1% saved)

simplify4.0ms (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)

soundness163.0ms (1.9%)

Rules

404×	`associate-*r/`
378×	`associate--l+`
346×	`associate-r`
314×	`fma-neg`
308×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	225	624
2	466	376
3	952	322
4	1804	322
5	4954	322

Stop Event

1×	node limit

Compiler

Compiled 117 to 41 computations (65% saved)

end0.0ms (0%)

preprocess58.0ms (0.7%)

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

analyze222.0ms (2.7%)

sample2.2s (26.6%)

preprocess195.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize57.0ms (0.7%)

series88.0ms (1%)

rewrite300.0ms (3.6%)

simplify106.0ms (1.3%)

eval40.0ms (0.5%)

prune58.0ms (0.7%)

localize204.0ms (2.4%)

series234.0ms (2.8%)

rewrite218.0ms (2.6%)

simplify296.0ms (3.5%)

eval270.0ms (3.2%)

prune155.0ms (1.9%)

localize178.0ms (2.1%)

series49.0ms (0.6%)

rewrite258.0ms (3.1%)

simplify418.0ms (5%)

eval342.0ms (4.1%)

prune318.0ms (3.8%)

localize162.0ms (1.9%)

series319.0ms (3.8%)

rewrite278.0ms (3.3%)

simplify552.0ms (6.6%)

eval186.0ms (2.2%)

prune318.0ms (3.8%)

regimes97.0ms (1.2%)

simplify4.0ms (0%)

soundness163.0ms (1.9%)

end0.0ms (0%)

preprocess58.0ms (0.7%)

Profiling