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

analyze191.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	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)

sample3.3s (30%)

Results

2.6s	8256×	body	256	valid
544.0ms	2045×	body	256	invalid

Bogosity

preprocess188.0ms (1.7%)

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

Compiler

Compiled 50 to 30 computations (40% saved)

localize124.0ms (1.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series159.0ms (1.4%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
46.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
41.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
26.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
18.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite127.0ms (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))

simplify98.0ms (0.9%)

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))

eval110.0ms (1%)

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

prune104.0ms (0.9%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	160	24	184
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	161	25	186

Accuracy

100.0%

Counts

186 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	51.2%	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
	99.1%	(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
	99.3%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	50.8%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.1%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	86.0%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.1%	(/.f64 (.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
▶	66.4%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	51.1%	(*.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)))
	98.0%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
▶	99.3%	(*.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)))
	57.4%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
	53.2%	(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
	75.3%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	88.0%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
	51.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	51.2%	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
	99.1%	(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
	99.3%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	50.8%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (pow.f64 (sqrt.f64 (log.f64 base)) 4))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.1%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	86.0%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 2) 0) (.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.1%	(/.f64 (.f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
▶	66.4%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	51.1%	(*.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)))
	98.0%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
▶	99.3%	(*.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)))
	57.4%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
	53.2%	(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 4))
	75.3%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	88.0%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1474 to 968 computations (34.3% saved)

localize351.0ms (3.2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
✓	99.8%	(*.f64 (atan2.f64 im re) (log.f64 base))
	99.7%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
✓	100.0%	(sqrt.f64 (log.f64 base))
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.9%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
✓	99.8%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	97.7%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.9%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	99.8%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.8%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 169 to 36 computations (78.7% saved)

series227.0ms (2.1%)

Counts

14 → 372

Calls

102 calls:

Time	Variable		Point	Expression
102.0ms	base	@	0	(pow.f64 (log.f64 base) -1/2)
78.0ms	base	@	inf	(pow.f64 (log.f64 base) -1/2)
22.0ms	base	@	-inf	(pow.f64 (log.f64 base) -1/2)
1.0ms	re	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
1.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))

rewrite233.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`expm1-udef`
752×	`log1p-udef`
564×	`prod-diff`
504×	`add-sqr-sqrt`
492×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	252
1	569	252
2	6561	252

Stop Event

1×	node limit

Counts

14 → 495

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) -2)
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) -1/2)
(sqrt.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))

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

simplify327.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1016×	`fma-def`
802×	`associate-/l*`
764×	`log-prod`
634×	`associate-/r*`
622×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	20445
1	1578	19483
2	5762	19483

Stop Event

1×	node limit

Counts

867 → 479

Calls

Call 1

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

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

eval185.0ms (1.7%)

Compiler: Compiled 9475 to 3660 computations (61.4% saved)

prune167.0ms (1.5%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	587	10	597
Fresh	14	5	19
Picked	2	3	5
Done	0	1	1
Total	603	19	622

Accuracy

100.0%

Counts

622 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
✓	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.1%	(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
▶	98.9%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
▶	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	77.7%	(-.f64 (/.f64 (+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 base) -2))
✓	51.1%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	51.1%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	97.9%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	98.5%	(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	50.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	75.3%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	51.2%	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 6) 1/3)
✓	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	51.1%	(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
▶	98.9%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
▶	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	77.7%	(-.f64 (/.f64 (+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 base) -2))
✓	51.1%	(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	51.1%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	97.9%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	98.5%	(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	50.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	75.3%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 918 to 650 computations (29.2% saved)

localize202.0ms (1.8%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
✓	99.2%	(pow.f64 (log.f64 base) 2)
✓	99.1%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	98.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	92.2%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.1%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	88.2%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	99.6%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.6%	(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
✓	99.5%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	99.2%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 154 to 41 computations (73.4% saved)

series61.0ms (0.6%)

Counts

11 → 312

Calls

93 calls:

Time	Variable		Point	Expression
10.0ms	base	@	inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
4.0ms	base	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
3.0ms	im	@	-inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
3.0ms	re	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
2.0ms	im	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite185.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`expm1-udef`
662×	`log1p-udef`
616×	`log-pow`
452×	`add-sqr-sqrt`
446×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	283
1	532	203
2	6061	203

Stop Event

1×	node limit

Counts

11 → 641

Calls

Call 1

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

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

simplify310.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1622×	`log-prod`
1168×	`associate-r`
918×	`associate-l`
848×	`times-frac`
602×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	665	22665
1	1534	22205
2	6794	22205

Stop Event

1×	node limit

Counts

953 → 410

Calls

Call 1

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

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

eval286.0ms (2.6%)

Compiler: Compiled 10357 to 4284 computations (58.6% saved)

prune267.0ms (2.4%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	664	9	673
Fresh	7	3	10
Picked	1	4	5
Done	1	3	4
Total	673	19	692

Accuracy

100.0%

Counts

692 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	51.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	97.9%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.1%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
▶	79.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	88.0%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
	88.0%	(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3))))
▶	51.1%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	50.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	99.1%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	54.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	51.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	97.9%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.1%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
▶	79.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	88.0%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
	88.0%	(/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3))))
▶	51.1%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	50.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	99.1%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 798 to 608 computations (23.8% saved)

localize1.3s (11.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.7%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
✓	100.0%	(log.f64 (log.f64 base))
✓	99.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.4%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	99.6%	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓	96.9%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.8%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.8%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓	100.0%	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
✓	100.0%	(/.f64 1 (atan2.f64 im re))
	99.9%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))

Compiler

Compiled 170 to 67 computations (60.6% saved)

series276.0ms (2.5%)

Counts

15 → 340

Calls

105 calls:

Time	Variable		Point	Expression
62.0ms	base	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
54.0ms	re	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
23.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
21.0ms	base	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
20.0ms	im	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite141.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`log-prod`
588×	`expm1-udef`
586×	`log1p-udef`
432×	`add-sqr-sqrt`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	257
1	576	203
2	5449	203

Stop Event

1×	node limit

Counts

15 → 542

Calls

Call 1

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

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

simplify218.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1448×	`log-prod`
736×	`associate-r`
732×	`exp-prod`
674×	`associate-l`
590×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	17888
1	1088	17108
2	5367	16938

Stop Event

1×	node limit

Counts

882 → 378

Calls

Call 1

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

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

eval252.0ms (2.3%)

Compiler: Compiled 7400 to 3635 computations (50.9% saved)

prune210.0ms (1.9%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	515	3	518
Fresh	3	4	7
Picked	1	4	5
Done	0	7	7
Total	519	18	537

Accuracy

100.0%

Counts

537 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	56.2%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	51.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.1%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	79.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	51.1%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.3%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	50.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	14.7%	(*.f64 (atan2.f64 im re) 1)
	99.1%	(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
	88.6%	(*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	88.1%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 797 to 391 computations (50.9% saved)

regimes306.0ms (2.8%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

5 calls:

88.0ms	(/.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)))
50.0ms	base
49.0ms	(log.f64 base)
48.0ms	im
46.0ms	re

Results

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

Compiler

Compiled 627 to 261 computations (58.4% saved)

regimes18.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) 1)

Outputs
(*.f64 (atan2.f64 im re) 1)

Calls

3 calls:

6.0ms	base
5.0ms	re
5.0ms	im

Results

Accuracy	Segments	Branch
14.7%	1	`re`
14.7%	1	`im`
14.7%	1	`base`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-rgt-identity`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	14	24

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) 1)
(atan2.f64 im re)

Compiler

Compiled 15 to 10 computations (33.3% saved)

soundness1.1s (9.7%)

Rules

2448×	`fma-neg`
1602×	`log-prod`
1582×	`div-sub`
1448×	`log-prod`
1358×	`log-prod`

Iterations

Useful iterations: 1 (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
0	14	82
1	282	78
2	3544	78
0	28	252
1	569	252
2	6561	252
0	28	257
1	576	203
2	5449	203
0	573	17888
1	1088	17108
2	5367	16938

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 469 to 178 computations (62% saved)

end0.0ms (0%)

preprocess51.0ms (0.5%)

Compiler: Compiled 86 to 52 computations (39.5% saved)

analyze191.0ms (1.7%)

sample3.3s (30%)

preprocess188.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize124.0ms (1.1%)

series159.0ms (1.4%)

rewrite127.0ms (1.2%)

simplify98.0ms (0.9%)

eval110.0ms (1%)

prune104.0ms (0.9%)

localize351.0ms (3.2%)

series227.0ms (2.1%)

rewrite233.0ms (2.1%)

simplify327.0ms (3%)

eval185.0ms (1.7%)

prune167.0ms (1.5%)

localize202.0ms (1.8%)

series61.0ms (0.6%)

rewrite185.0ms (1.7%)

simplify310.0ms (2.8%)

eval286.0ms (2.6%)

prune267.0ms (2.4%)

localize1.3s (11.4%)

series276.0ms (2.5%)

rewrite141.0ms (1.3%)

simplify218.0ms (2%)

eval252.0ms (2.3%)

prune210.0ms (1.9%)

regimes306.0ms (2.8%)

regimes18.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.1s (9.7%)

end0.0ms (0%)

preprocess51.0ms (0.5%)

Profiling