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

analyze182.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
33.3%	25%	49.9%	0.1%	0%	25%	0%	7
33.3%	25%	49.9%	0.1%	0%	25%	0%	8
33.3%	25%	49.9%	0.1%	0%	25%	0%	9
60%	37.4%	25%	0.1%	0%	37.4%	0%	10
60%	37.4%	25%	0.1%	0%	37.4%	0%	11
60%	37.4%	25%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (27.4%)

Results

1.8s	8256×	body	256	valid
323.0ms	2020×	body	256	invalid

Bogosity

preprocess144.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2448×	`fma-neg`
1582×	`div-sub`
538×	`sub-neg`
518×	`cancel-sign-sub-inv`
502×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	332
1	236	316
2	434	196
3	714	148
4	1117	148
5	2830	148
6	3835	148
7	5540	148

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

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.6%	(/.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)
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series116.0ms (1.5%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
59.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
19.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
10.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite98.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`log-prod`
762×	`pow-prod-down`
682×	`pow-prod-up`
604×	`pow-exp`
494×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	282	78
2	3544	78

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(.f64 1 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

800×	`log-prod`
668×	`associate-/r/`
644×	`fma-neg`
454×	`div-sub`
432×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	5871
1	815	4783
2	2770	4665

Stop Event

1×	node limit

Counts

245 → 184

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 base (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (atan2.f64 im re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))) (log.f64 (sqrt.f64 (pow.f64 base (atan2.f64 im re)))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 1 (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3) 0) (+.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 0))))
(/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))
(+.f64 0 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(.f64 1 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4)) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
(pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) 1) -1)
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (log.f64 base)))) -1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)) 1))

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

eval39.0ms (0.5%)

Compiler: Compiled 2859 to 979 computations (65.8% saved)

prune97.0ms (1.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	164	20	184
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	165	21	186

Accuracy

100.0%

Counts

186 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	98.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	48.8%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.0%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	48.7%	(/.f64 (.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
	48.9%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (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)))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
	99.3%	(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	48.7%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	86.4%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	98.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	48.8%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.0%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	48.7%	(/.f64 (.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
	48.9%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (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)))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
	99.3%	(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	48.7%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	86.4%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1150 to 780 computations (32.2% saved)

localize165.0ms (2.1%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
✓	98.9%	(pow.f64 (log.f64 base) 3)
✓	98.8%	(pow.f64 (atan2.f64 im re) 3)
✓	86.6%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
✓	99.6%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.2%	(pow.f64 (log.f64 base) -2)
	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	93.6%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.6%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.0%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 148 to 44 computations (70.3% saved)

series47.0ms (0.6%)

Counts

13 → 296

Calls

96 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms	im	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms	base	@	-inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms	base	@	inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms	im	@	inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite258.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`pow-exp`
698×	`expm1-udef`
696×	`log1p-udef`
654×	`log-pow`
430×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	231
1	552	225
2	5537	225

Stop Event

1×	node limit

Counts

13 → 590

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

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

simplify258.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1270×	`prod-exp`
1066×	`log-prod`
708×	`fma-def`
618×	`times-frac`
554×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	824	18966
1	1810	17582
2	5328	17582

Stop Event

1×	node limit

Counts

886 → 466

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

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

eval143.0ms (1.8%)

Compiler: Compiled 7424 to 3317 computations (55.3% saved)

prune160.0ms (2%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	512	10	522
Fresh	8	7	15
Picked	3	2	5
Done	0	1	1
Total	523	20	543

Accuracy

100.0%

Counts

543 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	98.8%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1) -1)
	97.5%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3) -1)
	97.4%	(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
	51.7%	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	80.8%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	98.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
✓	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	48.7%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	98.8%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1) -1)
	97.5%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3) -1)
	97.4%	(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
	51.7%	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	80.8%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	98.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
✓	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	48.7%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 968 to 718 computations (25.8% saved)

localize829.0ms (10.5%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (cbrt.f64 (log.f64 base)))
✓	99.6%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	99.3%	(cbrt.f64 (log.f64 base))
✓	99.2%	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.7%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓	99.6%	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓	93.3%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))
✓	99.6%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
✓	99.3%	(cbrt.f64 (pow.f64 (log.f64 base) -3))
✓	99.1%	(pow.f64 (log.f64 base) -3)
	99.7%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.6%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	99.5%	(*.f64 (atan2.f64 im re) (log.f64 base))
	99.4%	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 159 to 54 computations (66% saved)

series502.0ms (6.4%)

Counts

13 → 312

Calls

84 calls:

Time	Variable		Point	Expression
288.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
58.0ms	im	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
21.0ms	base	@	inf	(pow.f64 (log.f64 base) -3)
20.0ms	im	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
16.0ms	re	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite160.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`expm1-udef`
718×	`log1p-udef`
526×	`add-sqr-sqrt`
510×	`pow1`
504×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	279
1	592	191
2	6985	191

Stop Event

1×	node limit

Counts

13 → 563

Calls

Call 1

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

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

simplify222.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1440×	`log-prod`
1150×	`fma-def`
940×	`associate-r`
836×	`associate-l`
828×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	18711
1	1453	18277
2	6688	18277

Stop Event

1×	node limit

Counts

875 → 393

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

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

eval192.0ms (2.4%)

Compiler: Compiled 7342 to 3326 computations (54.7% saved)

prune169.0ms (2.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	502	7	509
Fresh	5	7	12
Picked	2	3	5
Done	1	2	3
Total	510	19	529

Accuracy

100.0%

Counts

529 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	98.8%	(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
	51.7%	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	98.7%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
✓	98.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	80.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
▶	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	98.1%	(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
▶	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	98.8%	(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
	51.7%	(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	98.7%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
✓	98.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	80.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
▶	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	98.1%	(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
▶	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 870 to 640 computations (26.4% saved)

localize753.0ms (9.5%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
✓	99.8%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
	99.7%	(pow.f64 (log.f64 base) -2)
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.7%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	99.6%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	96.8%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))
	99.8%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.7%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 165 to 59 computations (64.2% saved)

series69.0ms (0.9%)

Counts

10 → 284

Calls

72 calls:

Time	Variable		Point	Expression
19.0ms	base	@	-inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
16.0ms	base	@	inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
16.0ms	base	@	0	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
1.0ms	base	@	inf	(pow.f64 (log.f64 base) 2)
1.0ms	base	@	-inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

rewrite140.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`expm1-udef`
782×	`log1p-udef`
566×	`add-sqr-sqrt`
552×	`pow1`
540×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	244
1	615	164
2	7314	164

Stop Event

1×	node limit

Counts

10 → 491

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

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

simplify237.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1088×	`cube-prod`
948×	`log-prod`
924×	`exp-prod`
780×	`associate-r`
734×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	16955
1	1114	16673
2	4424	16673

Stop Event

1×	node limit

Counts

775 → 292

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

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

eval174.0ms (2.2%)

Compiler: Compiled 6967 to 3116 computations (55.3% saved)

prune91.0ms (1.2%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	469	2	471
Fresh	1	8	9
Picked	0	5	5
Done	1	4	5
Total	471	19	490

Accuracy

100.0%

Counts

490 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	98.8%	(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.0%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	98.7%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
✓	98.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	80.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	77.8%	(/.f64 1 (log.f64 (pow.f64 base (expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))))))
	76.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
✓	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	48.8%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	98.1%	(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	99.2%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
	50.2%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 714 to 366 computations (48.7% saved)

regimes169.0ms (2.1%)

Accuracy

Total -63.2b remaining (-23122.9%)

Threshold costs -63.2b (-23122.9%)

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)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (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) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
(*.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) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (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 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3) -1)
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 (pow.f64 base (expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1)) 3)
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))

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

Calls

5 calls:

65.0ms	(log.f64 base)
40.0ms	im
20.0ms	re
18.0ms	base
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
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 521 to 223 computations (57.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

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)

soundness131.0ms (1.7%)

Rules

2448×	`fma-neg`
1582×	`div-sub`
538×	`sub-neg`
518×	`cancel-sign-sub-inv`
502×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	332
1	236	316
2	434	196
3	714	148
4	1117	148
5	2830	148
6	3835	148
7	5540	148

Stop Event

1×	node limit

Compiler

Compiled 163 to 60 computations (63.2% saved)

end0.0ms (0%)

preprocess32.0ms (0.4%)

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

analyze182.0ms (2.3%)

sample2.2s (27.4%)

preprocess144.0ms (1.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize57.0ms (0.7%)

series116.0ms (1.5%)

rewrite98.0ms (1.2%)

simplify86.0ms (1.1%)

eval39.0ms (0.5%)

prune97.0ms (1.2%)

localize165.0ms (2.1%)

series47.0ms (0.6%)

rewrite258.0ms (3.3%)

simplify258.0ms (3.3%)

eval143.0ms (1.8%)

prune160.0ms (2%)

localize829.0ms (10.5%)

series502.0ms (6.4%)

rewrite160.0ms (2%)

simplify222.0ms (2.8%)

eval192.0ms (2.4%)

prune169.0ms (2.1%)

localize753.0ms (9.5%)

series69.0ms (0.9%)

rewrite140.0ms (1.8%)

simplify237.0ms (3%)

eval174.0ms (2.2%)

prune91.0ms (1.2%)

regimes169.0ms (2.1%)

simplify4.0ms (0%)

soundness131.0ms (1.7%)

end0.0ms (0%)

preprocess32.0ms (0.4%)

Profiling