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

analyze246.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.1s (24.6%)

Results

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Bogosity

preprocess336.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	1	(6.0416995571367277e-266 1.5142070437072706e-155 2.8767587025468943e+199)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`base`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)`
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)))`
0	-	0	-	`(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 0 0)`
0	-	0	-	`0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	257	624
2	515	376
3	963	322
4	1832	322
5	4770	322
6	6888	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))
(/.f64 (atan2.f64 (neg.f64 im) re) (neg.f64 (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))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (/.f64 (log.f64 base) 1))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (atan2.f64 im base) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(/.f64 (/.f64 (atan2.f64 im base) 1) (log.f64 re))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))

Compiler

Compiled 277 to 88 computations (68.2% 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))

Compiler

Compiled 25 to 15 computations (40% saved)

localize71.0ms (0.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.1%	(*.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)

series94.0ms (1.1%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
20.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
19.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
9.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite347.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`log-prod`
921×	`log1p-expm1-u`
921×	`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	2540	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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (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)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.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 (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)) (log.f64 base)))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(.f64 (.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 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (.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 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(.f64 (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 (log.f64 (pow.f64 (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3)) 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))))

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`log-prod`
750×	`fma-neg`
548×	`exp-prod`
504×	`cube-prod`
464×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	7763
1	786	6597
2	3091	6597

Stop Event

1×	node limit

Counts

239 → 173

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))
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(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
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(.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (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))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (/.f64 (cbrt.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))
(.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 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.f64 (/.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(pow.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))
(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 (log.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))
(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))

eval42.0ms (0.5%)

Compiler: Compiled 2747 to 954 computations (65.3% saved)

prune49.0ms (0.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	152	21	173
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	153	22	175

Accuracy

100.0%

Counts

175 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	99.2%	(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) -1)
	54.5%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
	99.4%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	54.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.9%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	99.3%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
	54.5%	(/.f64 (pow.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (log.f64 base) (log.f64 base)))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	47.3%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
▶	98.1%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	86.6%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	51.2%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
	98.0%	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
▶	99.6%	(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
	99.2%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	85.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	85.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 603 to 408 computations (32.3% saved)

localize206.0ms (2.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
✓	99.5%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	99.2%	(pow.f64 (cbrt.f64 (log.f64 base)) 2)
✓	99.1%	(cbrt.f64 (log.f64 base))
✓	99.7%	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
✓	98.8%	(pow.f64 (log.f64 base) 3)
✓	98.8%	(pow.f64 (atan2.f64 im re) 3)
✓	85.8%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	94.7%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.5%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	100.0%	(log.f64 (/.f64 1 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))

Compiler

Compiled 165 to 58 computations (64.8% saved)

series119.0ms (1.4%)

Counts

14 → 280

Calls

93 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
10.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
6.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
4.0ms	re	@	0	(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
3.0ms	base	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite230.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`log1p-expm1-u`
472×	`expm1-udef`
472×	`log1p-udef`
267×	`expm1-log1p-u`
246×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	337
1	470	307
2	5388	307

Stop Event

1×	node limit

Counts

14 → 636

Calls

Call 1

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

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

simplify436.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1164×	`exp-prod`
1084×	`log-prod`
938×	`associate-/l*`
918×	`fma-def`
680×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	722	27903
1	1470	26922
2	5321	26922

Stop Event

1×	node limit

Counts

916 → 465

Calls

Call 1

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

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

eval193.0ms (2.2%)

Compiler: Compiled 8560 to 3665 computations (57.2% saved)

prune115.0ms (1.3%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	539	10	549
Fresh	7	9	16
Picked	3	2	5
Done	0	1	1
Total	549	22	571

Accuracy

100.0%

Counts

571 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	54.5%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
	97.3%	(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
	98.0%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
	54.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	97.3%	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	51.3%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
	86.6%	(/.f64 (cbrt.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (atan2.f64 im re) (log.f64 base)))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	46.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
	99.2%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	85.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	85.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 546 to 385 computations (29.5% saved)

localize136.0ms (1.6%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.9%	(*.f64 (atan2.f64 im re) (log.f64 base))
	99.8%	(*.f64 (log.f64 base) (log.f64 base))
	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.8%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	96.3%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
✓	100.0%	(log.f64 (log.f64 base))
✓	99.9%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.5%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
	99.9%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.2%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.9%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 150 to 28 computations (81.3% saved)

series358.0ms (4.2%)

Counts

11 → 284

Calls

87 calls:

Time	Variable		Point	Expression
102.0ms	re	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
26.0ms	im	@	-inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
24.0ms	base	@	0	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
24.0ms	base	@	-inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
23.0ms	im	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite138.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`log-prod`
685×	`log1p-expm1-u`
685×	`expm1-log1p-u`
278×	`expm1-udef`
276×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	270
1	394	135
2	5203	135

Stop Event

1×	node limit

Counts

11 → 329

Calls

Call 1

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

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

simplify176.0ms (2%)

Algorithm

1×	egg-herbie

Rules

858×	`div-sub`
840×	`fma-neg`
814×	`log-prod`
602×	`cube-prod`
600×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	14468
1	691	13970
2	3681	13938

Stop Event

1×	node limit

Counts

613 → 218

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

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

eval111.0ms (1.3%)

Compiler: Compiled 6042 to 2774 computations (54.1% saved)

prune75.0ms (0.9%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	453	4	457
Fresh	2	12	14
Picked	1	4	5
Done	0	3	3
Total	456	23	479

Accuracy

100.0%

Counts

479 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	48.1%	(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) 1/3)
▶	54.5%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
	97.3%	(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) 3)
	98.0%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
	54.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	12.1%	(atan2.f64 im re)
	97.3%	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	51.3%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	12.1%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶	98.0%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	46.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
	99.2%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	85.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	85.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 495 to 360 computations (27.3% saved)

localize155.0ms (1.8%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.7%	(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
✓	99.6%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) 2)
✓	97.7%	(sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.8%	(/.f64 1 (cbrt.f64 (log.f64 base)))
✓	99.7%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	99.6%	(cbrt.f64 (log.f64 base))
✓	99.4%	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
✓	99.7%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
✓	99.5%	(cbrt.f64 (pow.f64 (log.f64 base) -3))
✓	99.4%	(pow.f64 (log.f64 base) -3)
✓	99.7%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 146 to 42 computations (71.2% saved)

series25.0ms (0.3%)

Counts

11 → 272

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	base	@	0	(/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
2.0ms	base	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
1.0ms	base	@	-inf	(pow.f64 (log.f64 base) -3)
1.0ms	base	@	0	(pow.f64 (log.f64 base) -3)
1.0ms	base	@	inf	(pow.f64 (log.f64 base) -3)

rewrite185.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log1p-expm1-u`
617×	`expm1-log1p-u`
468×	`expm1-udef`
468×	`log1p-udef`
278×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	335
1	399	238
2	4897	238

Stop Event

1×	node limit

Counts

11 → 437

Calls

Call 1

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

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

simplify364.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1004×	`log-prod`
912×	`associate-r`
880×	`associate-l`
734×	`exp-prod`
582×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	22447
1	1256	21820
2	5733	21820

Stop Event

1×	node limit

Counts

709 → 342

Calls

Call 1

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

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

eval134.0ms (1.6%)

Compiler: Compiled 5973 to 2489 computations (58.3% saved)

prune85.0ms (1%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	395	2	397
Fresh	3	8	11
Picked	2	3	5
Done	1	6	7
Total	401	19	420

Accuracy

100.0%

Counts

420 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	48.1%	(pow.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) 1/3)
	98.0%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
	54.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	12.1%	(atan2.f64 im re)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	12.1%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	47.3%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	46.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.2%	(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	53.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	85.7%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 670 to 331 computations (50.6% saved)

regimes100.0ms (1.2%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	im
20.0ms	base
20.0ms	(log.f64 base)
19.0ms	re
18.0ms	(/.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 48 to 33 computations (31.3% saved)

regimes21.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	base
5.0ms	re
4.0ms	(log.f64 base)
4.0ms	im

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(atan2.f64 im re)

Calls

3 calls:

4.0ms	im
3.0ms	re
3.0ms	base

Results

Accuracy	Segments	Branch
12.1%	1	`re`
12.1%	1	`im`
12.1%	1	`base`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	26	75
2	29	75
3	32	75
4	35	75
5	36	75

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness1.7s (19.6%)

Rules

1178×	`fma-neg`
1000×	`log-prod`
921×	`log1p-expm1-u`
921×	`expm1-log1p-u`
919×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	646
1	257	624
2	515	376
3	963	322
4	1832	322
5	4770	322
6	6888	322
0	18	115
1	197	111
2	2540	111
0	31	337
1	470	307
2	5388	307
0	29	270
1	394	135
2	5203	135
0	336	14468
1	691	13970
2	3681	13938

Stop Event

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

Compiler

Compiled 170 to 68 computations (60% saved)

end0.0ms (0%)

preprocess102.0ms (1.2%)

Compiler: Compiled 104 to 62 computations (40.4% saved)

analyze246.0ms (2.9%)

sample2.1s (24.6%)

preprocess336.0ms (3.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize71.0ms (0.8%)

series94.0ms (1.1%)

rewrite347.0ms (4%)

simplify122.0ms (1.4%)

eval42.0ms (0.5%)

prune49.0ms (0.6%)

localize206.0ms (2.4%)

series119.0ms (1.4%)

rewrite230.0ms (2.7%)

simplify436.0ms (5.1%)

eval193.0ms (2.2%)

prune115.0ms (1.3%)

localize136.0ms (1.6%)

series358.0ms (4.2%)

rewrite138.0ms (1.6%)

simplify176.0ms (2%)

eval111.0ms (1.3%)

prune75.0ms (0.9%)

localize155.0ms (1.8%)

series25.0ms (0.3%)

rewrite185.0ms (2.2%)

simplify364.0ms (4.2%)

eval134.0ms (1.6%)

prune85.0ms (1%)

regimes100.0ms (1.2%)

regimes21.0ms (0.2%)

regimes10.0ms (0.1%)

simplify4.0ms (0%)

soundness1.7s (19.6%)

end0.0ms (0%)

preprocess102.0ms (1.2%)

Profiling