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

analyze266.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.1s (25.4%)

Results

1.8s	8256×	body	256	valid
344.0ms	1983×	body	256	invalid

Bogosity

preprocess246.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Problems

139×	No Errors
117×	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 50 to 30 computations (40% saved)

localize84.0ms (1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series79.0ms (1%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
16.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
8.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
6.0ms	base	@	-inf	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))

rewrite128.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

239 → 175

Calls

Call 1

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

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

eval39.0ms (0.5%)

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

prune59.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	158	17	175
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	159	18	177

Accuracy

100.0%

Counts

177 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	51.9%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	86.5%	(/.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)))
	98.4%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
	62.5%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	85.2%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	85.0%	(/.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))) (.f64 (log.f64 base) (log.f64 base)))
▶	75.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
	99.4%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	52.0%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	51.9%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	86.5%	(/.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)))
	98.4%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
	62.5%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	85.2%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	85.0%	(/.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))) (.f64 (log.f64 base) (log.f64 base)))
▶	75.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
	99.4%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	52.0%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1058 to 700 computations (33.8% saved)

localize186.0ms (2.2%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	92.2%	(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	99.9%	(sqrt.f64 (log.f64 base))
✓	99.8%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
✓	99.7%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	100.0%	(exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.9%	(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	87.3%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
✓	99.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 169 to 37 computations (78.1% saved)

series226.0ms (2.7%)

Counts

13 → 384

Calls

105 calls:

Time	Variable		Point	Expression
57.0ms	base	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
32.0ms	im	@	0	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
23.0ms	base	@	-inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
17.0ms	re	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
16.0ms	im	@	inf	(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)

rewrite203.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`prod-diff`
760×	`log1p-expm1-u`
498×	`log1p-udef`
496×	`expm1-udef`
220×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	334
1	415	332
2	4488	332

Stop Event

1×	node limit

Counts

13 → 575

Calls

Call 1

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

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

simplify322.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-r`
972×	`times-frac`
800×	`associate-l`
592×	`associate-/l*`
528×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	689	34082
1	1528	33403
2	7261	33282

Stop Event

1×	node limit

Counts

959 → 443

Calls

Call 1

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

eval192.0ms (2.3%)

Compiler: Compiled 9206 to 3517 computations (61.8% saved)

prune158.0ms (1.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	545	8	553
Fresh	6	6	12
Picked	4	1	5
Done	0	1	1
Total	555	16	571

Accuracy

100.0%

Counts

571 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	49.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
	80.3%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	85.2%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
▶	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	75.4%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	55.3%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
▶	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	49.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
	80.3%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	85.2%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
▶	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	75.4%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	55.3%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 768 to 572 computations (25.5% saved)

localize165.0ms (2%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	92.3%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	97.3%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	93.0%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	88.3%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
✓	99.8%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 157 to 36 computations (77.1% saved)

series31.0ms (0.4%)

Counts

8 → 260

Calls

72 calls:

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

rewrite192.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`prod-diff`
1146×	`log1p-expm1-u`
526×	`expm1-log1p-u`
376×	`expm1-udef`
376×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	224
1	326	224
2	3711	224

Stop Event

1×	node limit

Counts

8 → 577

Calls

Call 1

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

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

simplify287.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1178×	`fma-neg`
902×	`cancel-sign-sub-inv`
646×	`div-sub`
386×	`cube-prod`
386×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	32437
1	919	30861
2	3496	30853

Stop Event

1×	node limit

Counts

837 → 235

Calls

Call 1

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

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

eval314.0ms (3.8%)

Compiler: Compiled 19446 to 8066 computations (58.5% saved)

prune114.0ms (1.4%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1208	3	1211
Fresh	3	6	9
Picked	0	5	5
Done	0	2	2
Total	1211	16	1227

Accuracy

100.0%

Counts

1227 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	49.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	86.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 0) (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0))
	85.2%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	80.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	75.4%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
▶	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	55.3%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	49.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	86.1%	(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 0) (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0))
	85.2%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3)) (pow.f64 (log.f64 base) 2))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	80.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	75.4%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
▶	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	55.3%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))

Compiler

Compiled 670 to 492 computations (26.6% saved)

localize738.0ms (8.9%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.7%	(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 0) (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0))
✓	99.7%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
✓	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)
✓	99.9%	(sqrt.f64 (pow.f64 (log.f64 base) -2))
✓	99.8%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
✓	99.7%	(pow.f64 (log.f64 base) -2)
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	96.6%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
	99.8%	(/.f64 1 (log.f64 base))
✓	99.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 193 to 74 computations (61.7% saved)

series668.0ms (8.1%)

Counts

13 → 300

Calls

87 calls:

Time	Variable		Point	Expression
268.0ms	re	@	-inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
165.0ms	base	@	0	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
58.0ms	base	@	inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
36.0ms	im	@	0	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
18.0ms	base	@	inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))

rewrite243.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`log1p-expm1-u`
450×	`expm1-udef`
450×	`log1p-udef`
394×	`prod-diff`
362×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	284
1	542	284
2	5322	284

Stop Event

1×	node limit

Counts

13 → 785

Calls

Call 1

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

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

simplify474.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1804×	`fma-def`
1450×	`fma-neg`
642×	`log-prod`
552×	`*-commutative`
544×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	866	38448
1	2269	37706
2	5715	37706

Stop Event

1×	node limit

Counts

1085 → 525

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

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

eval273.0ms (3.3%)

Compiler: Compiled 14590 to 5887 computations (59.7% saved)

prune148.0ms (1.8%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	703	2	705
Fresh	1	3	4
Picked	1	4	5
Done	0	7	7
Total	705	16	721

Accuracy

100.0%

Counts

721 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.2%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
✓	51.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	49.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	84.6%	(/.f64 (/.f64 1 (log.f64 base)) (expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))))
	84.7%	(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	80.3%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	75.4%	(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)
✓	51.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	55.3%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	50.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	84.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	84.7%	(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))

Compiler

Compiled 604 to 317 computations (47.5% saved)

regimes86.0ms (1%)

Accuracy

Total -57.2b remaining (-22336.8%)

Threshold costs -57.2b (-22336.8%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	re
16.0ms	im
16.0ms	(log.f64 base)
15.0ms	base
14.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 452 to 198 computations (56.2% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness124.0ms (1.5%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 117 to 41 computations (65% saved)

end0.0ms (0%)

preprocess26.0ms (0.3%)

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

analyze266.0ms (3.2%)

sample2.1s (25.4%)

preprocess246.0ms (3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize84.0ms (1%)

series79.0ms (1%)

rewrite128.0ms (1.5%)

simplify102.0ms (1.2%)

eval39.0ms (0.5%)

prune59.0ms (0.7%)

localize186.0ms (2.2%)

series226.0ms (2.7%)

rewrite203.0ms (2.4%)

simplify322.0ms (3.9%)

eval192.0ms (2.3%)

prune158.0ms (1.9%)

localize165.0ms (2%)

series31.0ms (0.4%)

rewrite192.0ms (2.3%)

simplify287.0ms (3.5%)

eval314.0ms (3.8%)

prune114.0ms (1.4%)

localize738.0ms (8.9%)

series668.0ms (8.1%)

rewrite243.0ms (2.9%)

simplify474.0ms (5.7%)

eval273.0ms (3.3%)

prune148.0ms (1.8%)

regimes86.0ms (1%)

simplify1.0ms (0%)

soundness124.0ms (1.5%)

end0.0ms (0%)

preprocess26.0ms (0.3%)

Profiling