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

analyze433.0ms (3.5%)

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)

sample1.9s (15.8%)

Results

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Bogosity

preprocess350.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1644×	`fma-neg`
1462×	`div-sub`
816×	`associate-/r*`
789×	`add0`
762×	`fma-define`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	2	(5.160353986383704e-156 -1.3117691751905243e-185 8.208889937792055e-12)	`(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	624
1	334	624
2	768	376
3	1693	322
4	2909	322
5	4496	322
6	6743	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 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (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 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (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 (.f64 (log.f64 base) (atan2.f64 im (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(*.f64 (atan2.f64 im (neg.f64 re)) (/.f64 1 (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 (.f64 (log.f64 base) (atan2.f64 (neg.f64 im) re)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 base) (/.f64 (atan2.f64 (neg.f64 im) re) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 (neg.f64 im) re) (/.f64 1 (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 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 (neg.f64 base)) (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im (neg.f64 re))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im (neg.f64 re)) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 base)))
(/.f64 (atan2.f64 im (neg.f64 re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im (neg.f64 re))) (log.f64 base))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 (neg.f64 im) re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))))
(/.f64 (.f64 (log.f64 base) (atan2.f64 (neg.f64 im) re)) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (atan2.f64 (neg.f64 im) re)) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 -1 (/.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 (.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))) (neg.f64 (.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (neg.f64 base))))
(/.f64 (atan2.f64 im re) (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 (.f64 (log.f64 base) (atan2.f64 re im)) (.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 1 (log.f64 base)))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 re) (log.f64 re)))
(.f64 (atan2.f64 im base) (/.f64 (log.f64 re) (.f64 (log.f64 re) (log.f64 re))))
(/.f64 (*.f64 1 (atan2.f64 im base)) (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 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 im) (log.f64 im)))
(.f64 (atan2.f64 base re) (/.f64 (log.f64 im) (.f64 (log.f64 im) (log.f64 im))))
(*.f64 (/.f64 (atan2.f64 base re) (log.f64 im)) 1)
(/.f64 (atan2.f64 base re) (log.f64 im))

Compiler

Compiled 277 to 88 computations (68.2% saved)

eval1.0ms (0%)

Compiler: Compiled 41 to 14 computations (65.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.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)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 35 to 22 computations (37.1% saved)

localize70.0ms (0.6%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.4%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.1%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 70 to 16 computations (77.1% saved)

series311.0ms (2.5%)

Counts

6 → 136

Calls

42 calls:

Time	Variable		Point	Expression
213.0ms	base	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
28.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
19.0ms	base	@	0	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
11.0ms	base	@	inf	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
7.0ms	base	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite283.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`log-prod`
1012×	`log1p-expm1-u`
1012×	`expm1-log1p-u`
482×	`fma-neg`
330×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	132
1	260	132
2	3382	132

Stop Event

1×	node limit

Counts

6 → 469

Calls

Call 1

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

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

simplify496.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1358×	`fma-neg`
1214×	`log-prod`
884×	`exp-prod`
541×	`add0`
524×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	18702
1	1474	18364
2	5783	18364

Stop Event

1×	node limit

Counts

605 → 321

Calls

Call 1

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

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

eval102.0ms (0.8%)

Compiler: Compiled 4891 to 1752 computations (64.2% saved)

prune90.0ms (0.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	304	17	321
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	305	19	324

Accuracy

100.0%

Counts

324 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	56.4%	(/.f64 (pow.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (log.f64 base))) 2) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	98.1%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	53.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	97.7%	(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	98.1%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2))))
▶	53.0%	(*.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)))
	98.9%	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))))
▶	99.3%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
	75.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	87.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 500 to 352 computations (29.6% saved)

localize287.0ms (2.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	99.7%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
✓	99.6%	(cbrt.f64 (log.f64 base))
✓	99.5%	(pow.f64 (cbrt.f64 (log.f64 base)) 2)
✓	99.8%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓	99.7%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓	99.5%	(pow.f64 (log.f64 base) 2)
✓	100.0%	(log.f64 (log.f64 base))
✓	99.7%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.1%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.7%	(/.f64 (log.f64 base) (atan2.f64 im re))
	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.7%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.5%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 157 to 42 computations (73.2% saved)

series234.0ms (1.9%)

Counts

14 → 288

Calls

90 calls:

Time	Variable		Point	Expression
45.0ms	base	@	0	(cbrt.f64 (log.f64 base))
35.0ms	base	@	0	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
25.0ms	base	@	-inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
20.0ms	base	@	inf	(log.f64 (log.f64 base))
16.0ms	base	@	inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))

rewrite179.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`prod-diff`
300×	`associate-r`
258×	`log1p-expm1-u`
224×	`associate-l`
216×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	423
1	465	260
2	6918	260

Stop Event

1×	node limit

Counts

14 → 713

Calls

Call 1

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

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

simplify357.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1730×	`fma-neg`
1024×	`times-frac`
910×	`log-prod`
522×	`associate-r`
500×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	422	27482
1	1266	24667
2	5612	24667

Stop Event

1×	node limit

Counts

1001 → 318

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

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

eval125.0ms (1%)

Compiler: Compiled 5676 to 2208 computations (61.1% saved)

prune79.0ms (0.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	413	5	418
Fresh	5	7	12
Picked	1	4	5
Done	0	2	2
Total	419	18	437

Accuracy

100.0%

Counts

437 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	12.5%	(atan2.f64 im re)
	56.4%	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (log.f64 base) 2))
✓	99.5%	(/.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))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	12.5%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
▶	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
▶	80.0%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	53.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	53.0%	(*.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)))
✓	99.3%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
▶	75.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 367 to 269 computations (26.7% saved)

localize690.0ms (5.6%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	96.3%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	96.0%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))
✓	99.8%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.8%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 138 to 40 computations (71% saved)

series392.0ms (3.2%)

Counts

9 → 240

Calls

81 calls:

Time	Variable		Point	Expression
96.0ms	re	@	0	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
73.0ms	base	@	-inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
65.0ms	re	@	-inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
20.0ms	im	@	inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
19.0ms	base	@	0	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))

rewrite333.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1085×	`log1p-expm1-u`
1085×	`expm1-log1p-u`
448×	`fma-neg`
380×	`expm1-undefine`
380×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	312	240
2	3328	240

Stop Event

1×	node limit

Counts

9 → 637

Calls

Call 1

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

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

simplify350.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-neg`
812×	`log-prod`
550×	`cube-prod`
548×	`exp-prod`
478×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	28898
1	1276	27630
2	4804	27614

Stop Event

1×	node limit

Counts

877 → 289

Calls

Call 1

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

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

eval61.0ms (0.5%)

Compiler: Compiled 4293 to 1726 computations (59.8% saved)

prune120.0ms (1%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	1	6	7
Picked	0	5	5
Done	0	6	6
Total	288	19	307

Accuracy

100.0%

Counts

307 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓	12.5%	(atan2.f64 im re)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	12.5%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
✓	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	80.0%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
▶	53.5%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
▶	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	53.0%	(*.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)))
✓	99.3%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
▶	54.5%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
✓	75.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 328 to 242 computations (26.2% saved)

localize173.0ms (1.4%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.8%	(*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re))
✓	99.7%	(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.7%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
	99.7%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.7%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
✓	94.4%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.9%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
✓	100.0%	(/.f64 1 (atan2.f64 im re))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 146 to 55 computations (62.3% saved)

series67.0ms (0.5%)

Counts

12 → 276

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	base	@	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)
2.0ms	base	@	0	(pow.f64 (log.f64 base) -1/2)
2.0ms	base	@	inf	(pow.f64 (log.f64 base) -1/2)
2.0ms	im	@	-inf	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
1.0ms	base	@	inf	(*.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re))

rewrite330.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-expm1-u`
792×	`expm1-log1p-u`
602×	`fma-neg`
420×	`expm1-undefine`
420×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	285
1	394	261
2	4298	261

Stop Event

1×	node limit

Counts

12 → 857

Calls

Call 1

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

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

simplify419.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

798×	`add0`
728×	`associate-*r/`
656×	`distribute-rgt-in`
630×	`associate-/l*`
624×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	36313
1	2170	34837

Stop Event

1×	node limit

Counts

1133 → 525

Calls

Call 1

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

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

eval301.0ms (2.4%)

Compiler: Compiled 12261 to 5890 computations (52% saved)

prune516.0ms (4.2%)

Pruning

18 alts after pruning (4 fresh and 14 done)

	Pruned	Kept	Total
New	798	2	800
Fresh	1	2	3
Picked	1	4	5
Done	1	10	11
Total	801	18	819

Accuracy

100.0%

Counts

819 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	54.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
✓	12.5%	(atan2.f64 im re)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	12.5%	(/.f64 1 (/.f64 1 (atan2.f64 im re)))
✓	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	80.0%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	53.3%	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) 2))
	53.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	53.0%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.3%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓	54.5%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))
✓	75.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	55.4%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 538 to 292 computations (45.7% saved)

regimes189.0ms (1.5%)

Counts

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

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

Calls

5 calls:

67.0ms	im
58.0ms	base
27.0ms	(/.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)))
17.0ms	(log.f64 base)
16.0ms	re

Results

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

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes10.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	base
3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
12.5%	1	`re`
12.5%	1	`im`
12.5%	1	`base`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
(atan2.f64 im re)

Calls

3 calls:

6.0ms	re
3.0ms	base
3.0ms	im

Results

Accuracy	Segments	Branch
12.5%	1	`im`
12.5%	1	`re`
12.5%	1	`base`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
8×	`add0`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	29	64
2	37	64

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 25 to 18 computations (28% saved)

soundness2.9s (23.8%)

Rules

1730×	`fma-neg`
1730×	`fma-neg`
1644×	`fma-neg`
1644×	`fma-neg`
1644×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	624
1	334	624
2	768	376
3	1693	322
4	2909	322
5	4496	322
6	6743	322
0	86	624
1	334	624
2	768	376
3	1693	322
4	2909	322
5	4496	322
6	6743	322
0	29	423
1	465	260
2	6918	260
0	422	27482
1	1266	24667
2	5612	24667
0	86	624
1	334	624
2	768	376
3	1693	322
4	2909	322
5	4496	322
6	6743	322
0	19	132
1	260	132
2	3382	132
0	29	423
1	465	260
2	6918	260
0	422	27482
1	1266	24667
2	5612	24667

Stop Event

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

Compiler

Compiled 471 to 186 computations (60.5% saved)

end0.0ms (0%)

preprocess76.0ms (0.6%)

Compiler: Compiled 100 to 60 computations (40% saved)

analyze433.0ms (3.5%)

sample1.9s (15.8%)

preprocess350.0ms (2.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize70.0ms (0.6%)

series311.0ms (2.5%)

rewrite283.0ms (2.3%)

simplify496.0ms (4%)

eval102.0ms (0.8%)

prune90.0ms (0.7%)

localize287.0ms (2.3%)

series234.0ms (1.9%)

rewrite179.0ms (1.5%)

simplify357.0ms (2.9%)

eval125.0ms (1%)

prune79.0ms (0.6%)

localize690.0ms (5.6%)

series392.0ms (3.2%)

rewrite333.0ms (2.7%)

simplify350.0ms (2.8%)

eval61.0ms (0.5%)

prune120.0ms (1%)

localize173.0ms (1.4%)

series67.0ms (0.5%)

rewrite330.0ms (2.7%)

simplify419.0ms (3.4%)

eval301.0ms (2.4%)

prune516.0ms (4.2%)

regimes189.0ms (1.5%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

simplify5.0ms (0%)

soundness2.9s (23.8%)

end0.0ms (0%)

preprocess76.0ms (0.6%)

Profiling