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

analyze184.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (25.6%)

Results

1.8s	8256×	body	256	valid
361.0ms	2137×	body	256	invalid

Bogosity

preprocess191.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2224×	`fma-neg`
976×	`div-sub`
738×	`+-commutative`
638×	`*-commutative`
554×	`sub-neg`

Problems

137×	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
115×	No Errors
2×	`(*.f64 (atan2.f64 im re) (log.f64 base))`
2×	`(*.f64 (log.f64 base) (log.f64 base))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	332
1	230	316
2	433	196
3	714	148
4	1118	148
5	2615	148
6	3365	148
7	4834	148

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler: Compiled 101 to 34 computations (66.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 50 to 30 computations (40% saved)

localize59.0ms (0.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	99.1%	(*.f64 (log.f64 base) (log.f64 base))
	99.4%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
	99.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.1%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series79.0ms (0.9%)

Counts

4 → 92

Calls

30 calls:

Time	Variable		Point	Expression
22.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
15.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
10.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
8.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite85.0ms (1%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

752×	`associate-r`
720×	`associate-*r/`
670×	`associate-/r*`
612×	`associate-l`
556×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	35	68
2	146	68
3	821	68
4	6812	68

Stop Event

1×

unsound

Counts

4 → 128

Calls

Call 1

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

Outputs
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
base
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
base
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
base
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
base

Calls

12 calls:

1.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	(*.f64 (log.f64 base) (log.f64 base))
0.0ms	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-/l*`
1107×	`fma-def`
792×	`distribute-lft-in`
780×	`distribute-rgt-in`
562×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3830
1	234	3598
2	914	3598
3	5026	2666

Stop Event

1×	node limit

Counts

220 → 83

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
(log1p.f64 (expm1.f64 (*.f64 (log.f64 base) (log.f64 base))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 base))) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 1 (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 base))) (cbrt.f64 (.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 base))))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 1)
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (exp.f64 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
(log1p.f64 (expm1.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(*.f64 (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(*.f64 1 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))
(.f64 (.f64 (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(cbrt.f64 (.f64 (.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) 1)
(exp.f64 (log.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(log.f64 (exp.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
-3
-2
-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base)))) (sqrt.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 1 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base))))) (cbrt.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(pow.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base))) 1)
(exp.f64 (log.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (exp.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))

Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(neg.f64 (/.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) (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) (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) (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) (log.f64 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 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (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 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
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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))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.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 (atan2.f64 im re) (log.f64 base))
(*.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 (atan2.f64 im re) (log.f64 base))
(*.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 (atan2.f64 im re) (log.f64 base))
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(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
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(/.f64 (atan2.f64 im re) (log.f64 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) (+.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) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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1
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9
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0
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1/2
3/4
1
3/2
2
3
4
5
6
9
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-3
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-1
-1/2
-1/4
0
1/4
1/2
3/4
1
3/2
2
3
4
5
6
9
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-3
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0
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1/2
3/4
1
3/2
2
3
4
5
6
9
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(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (/.f32 (.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (*.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (*.f32 1 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (/.f32 (.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (*.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (*.f32 1 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (atan2.f64 im re))))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (*.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) 2)))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) 2)))
(binary32->binary64 (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))

eval14.0ms (0.2%)

Compiler: Compiled 1072 to 360 computations (66.4% saved)

prune44.0ms (0.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	64	19	83
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	65	20	85

Accuracy

99.9%

Counts

85 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 base))) (cbrt.f64 (.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 base)))))
	97.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 base)))))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 base)))))
▶	99.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.0%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	45.0%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (.f64 (log.f64 base) (log.f64 base)))
▶	56.3%	(/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	90.8%	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	97.8%	(.f64 (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	45.0%	(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	90.5%	(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2
	98.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 base))) (cbrt.f64 (.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 base)))))
	97.6%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 base)))))
	97.5%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 base)))))
▶	99.0%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.0%	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (cbrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	45.0%	(/.f64 (.f64 (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (sqrt.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (.f64 (log.f64 base) (log.f64 base)))
▶	56.3%	(/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	90.8%	(/.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (fma.f64 (atan2.f64 im re) (log.f64 base) 0)) (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	97.8%	(.f64 (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	45.0%	(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	90.5%	(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2

Compiler

Compiled 1310 to 672 computations (48.7% saved)

localize178.0ms (2.1%)

Localize:

Found 36 expressions with local error:

New	Accuracy	Program
	99.7%	(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
	99.7%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
	99.8%	(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	99.8%	(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
	97.4%	(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.7%	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.8%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
	99.7%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
	99.8%	(/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	100.0%	(log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))
	94.3%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.9%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.9%	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.7%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
✓	99.7%	(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
✓	99.6%	(.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.8%	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.7%	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	97.4%	(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.8%	(/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
	99.7%	(fma.f64 (atan2.f64 im re) (log.f64 base) 0)
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	94.3%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.9%	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.9%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 276 to 39 computations (85.9% saved)

series349.0ms (4%)

Counts

11 → 320

Calls

87 calls:

Time	Variable		Point	Expression
99.0ms	re	@	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
78.0ms	im	@	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
61.0ms	base	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
24.0ms	base	@	-inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
16.0ms	re	@	-inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite346.0ms (4%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1098×	`prod-exp`
988×	`log-prod`
948×	`log-div`
558×	`div-exp`
506×	`flip-+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	213
1	90	195
2	501	195
3	4192	195

Stop Event

1×	node limit

Counts

11 → 1467

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))
(cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))

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) -2) 0))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 0 (pow.f64 (log.f64 base) -2)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 1) (pow.f64 (log.f64 base) -2)) (neg.f64 (pow.f64 (log.f64 base) -2)))
(+.f64 (.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 1) (pow.f64 (log.f64 base) -2)) (.f64 -1 (pow.f64 (log.f64 base) -2)))
(+.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))) (log.f64 (/.f64 1 (-.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))) (log.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) -2) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (.f64 (pow.f64 (log.f64 base) -2) (fma.f64 (atan2.f64 im re) (log.f64 base) 1)) (.f64 (pow.f64 (log.f64 base) -2) -1))
(+.f64 (*.f64 0 (pow.f64 (log.f64 base) -2)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 (/.f64 1 (log.f64 base)) 2))) (log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 (/.f64 1 (log.f64 base)) 2))))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 0 (log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))))
(-.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 1) (pow.f64 (log.f64 base) -2)) (pow.f64 (log.f64 base) -2))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))) (log.f64 (-.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (-.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(-.f64 (/.f64 0 (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
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(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base)) 1) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2))) (neg.f64 (atan2.f64 im re))) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 5))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -2)) -1) (log.f64 base))
(/.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (log.f64 base)) -1) (pow.f64 (log.f64 base) 2))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) -1) (.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 -1 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2))) (neg.f64 (pow.f64 (atan2.f64 im re) 2))) (*.f64 (cbrt.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2))) (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base))) (*.f64 (cbrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2)))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base)) -1) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base)) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2)))) (*.f64 (neg.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) -1) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) 1) (pow.f64 (log.f64 base) 3))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) -1) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (neg.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3)) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -2))) (log.f64 base))
(/.f64 (neg.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (log.f64 base))) (pow.f64 (log.f64 base) 2))
(/.f64 (exp.f64 (log.f64 (pow.f64 (atan2.f64 im re) 3))) (pow.f64 (log.f64 base) 3))
(/.f64 (exp.f64 (log.f64 (*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -2)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)))) (pow.f64 (log.f64 base) 2))
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))))
(/.f64 (exp.f64 (.f64 3 (log.f64 (neg.f64 (atan2.f64 im re))))) (exp.f64 (.f64 3 (log.f64 (neg.f64 (log.f64 base))))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1)
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 2)
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(neg.f64 (pow.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 3))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(neg.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) (.f64 -2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (.f64 -2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(exp.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))
(exp.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (log.f64 base))) 3) (.f64 (log.f64 (atan2.f64 im re)) 3)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 im re)) 3) (.f64 (neg.f64 (log.f64 (log.f64 base))) 3)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3/2) (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3/2)))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 3) (.f64 (*.f64 (log.f64 (log.f64 base)) 2) 3/2)))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 3) (.f64 (log.f64 (log.f64 base)) 3)))
(exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 (atan2.f64 im re))) 3) (.f64 (log.f64 (neg.f64 (log.f64 base))) 3)))
(pow.f64 (log.f64 base) 4)
(pow.f64 (pow.f64 (log.f64 base) 2) 2)
(pow.f64 (pow.f64 (log.f64 base) 4) 1)
(pow.f64 (pow.f64 (log.f64 base) 6) 2/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (log.f64 base)) 2))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 6)))
(exp.f64 (*.f64 4 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 4))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 3)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (*.f64 (log.f64 (log.f64 base)) 3)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (*.f64 (log.f64 (log.f64 base)) 2) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (log.f64 (log.f64 base)) 3)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) 3)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 2) (.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1) (*.f64 (log.f64 (log.f64 base)) 2)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 3/2) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 3) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 3) (.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 3) (.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 3) (.f64 (*.f64 3 (log.f64 (log.f64 base))) 1/3)))
(-.f64 0 (neg.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 5)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (neg.f64 (log.f64 base)) -1) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) 1) (pow.f64 (cbrt.f64 (log.f64 base)) 1))
(.f64 (exp.f64 (.f64 4/3 (log.f64 (log.f64 base)))) (exp.f64 (*.f64 2/3 (log.f64 (log.f64 base)))))
(.f64 (exp.f64 (.f64 2/3 (log.f64 (log.f64 base)))) (exp.f64 (*.f64 4/3 (log.f64 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)))) (exp.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) 2) 1)
(/.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (exp.f64 1) (*.f64 (log.f64 (log.f64 base)) 2))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 6)) 1/6)
(pow.f64 (exp.f64 2) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 1/3) (*.f64 6 (log.f64 (log.f64 base))))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (*.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 4 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1/3) (.f64 (.f64 4 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1/3) (.f64 (*.f64 5 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 5 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) 1/3)))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) -1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) -2)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 2)))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) -1)))

Calls

40 calls:

3.0ms	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.0ms	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify584.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-def`
688×	`distribute-lft-in`
585×	`+-commutative`
574×	`distribute-rgt-in`
531×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1897	31445
1	4757	31445

Stop Event

1×	node limit

Counts

1787 → 870

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(binary32->binary64 (binary64->binary32 (.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
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(*.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 5)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) (cbrt.f64 (log.f64 base)))
(.f64 (.f64 (neg.f64 (log.f64 base)) -1) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) 1) (pow.f64 (cbrt.f64 (log.f64 base)) 1))
(.f64 (exp.f64 (.f64 4/3 (log.f64 (log.f64 base)))) (exp.f64 (*.f64 2/3 (log.f64 (log.f64 base)))))
(.f64 (exp.f64 (.f64 2/3 (log.f64 (log.f64 base)))) (exp.f64 (*.f64 4/3 (log.f64 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)))) (exp.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) 2) 1)
(/.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 5)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (exp.f64 1) (*.f64 (log.f64 (log.f64 base)) 2))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 6)) 1/6)
(pow.f64 (exp.f64 2) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 1/3) (*.f64 6 (log.f64 (log.f64 base))))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) 1) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (*.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (*.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 4 (log.f64 (log.f64 base))) 1/3) (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) 1/3) (.f64 (.f64 4 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) 1/3) (.f64 (*.f64 5 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (.f64 (.f64 5 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) 1/3)))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 (log.f64 base)) 2) -1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) -2)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 2)))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/6) (*.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 (log.f64 base)) 1) (.f64 (log.f64 (log.f64 base)) -1)))
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 base)) -1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(.f64 1 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))) 1)
(exp.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (expm1.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (log1p.f32 (expm1.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (exp.f32 (log.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (log.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))))
(binary32->binary64 (log1p.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (/.f32 (expm1.f32 (log1p.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (.f32 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (*.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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) (log.f64 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) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (log.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (log1p.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (expm1.f64 (log1p.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (expm1.f32 (log1p.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (log.f64 base) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (.f32 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (*.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (cbrt.f32 (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))))
(binary32->binary64 (/.f32 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0) (cbrt.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (fma.f64 (atan2.f64 im re) (log.f64 base) 0)))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (fma.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)) 0))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (cbrt.f32 (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (.f32 (.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base))) (*.f32 (log.f32 (binary64->binary32 base)) (log.f32 (binary64->binary32 base)))))))

eval415.0ms (4.8%)

Compiler: Compiled 32509 to 9715 computations (70.1% saved)

prune313.0ms (3.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1600	9	1609
Fresh	9	5	14
Picked	3	2	5
Done	0	1	1
Total	1612	17	1629

Accuracy

100.0%

Counts

1629 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
▶	90.8%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	90.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2
	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	99.0%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
▶	90.8%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	90.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2

Compiler

Compiled 554 to 412 computations (25.6% saved)

localize177.0ms (2%)

Localize:

Found 26 expressions with local error:

New	Accuracy	Program
	99.2%	(pow.f64 (log.f64 base) -2)
	99.4%	(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
	99.5%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
	90.3%	(cbrt.f64 (pow.f64 (atan2.f64 im re) 3))
	98.8%	(pow.f64 (atan2.f64 im re) 3)
	99.6%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
	99.3%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
	99.5%	(*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
	99.9%	(/.f64 1 (atan2.f64 im re))
	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	99.5%	(/.f64 (log.f64 base) (atan2.f64 im re))
	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
✓	99.4%	(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
✓	99.2%	(pow.f64 (log.f64 base) -2)
✓	99.6%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
✓	98.8%	(pow.f64 (atan2.f64 im re) 3)
✓	90.3%	(cbrt.f64 (pow.f64 (atan2.f64 im re) 3))
✓	99.9%	(/.f64 1 (atan2.f64 im re))
✓	99.5%	(*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
✓	99.3%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
✓	99.5%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 147 to 49 computations (66.7% saved)

series28.0ms (0.3%)

Counts

13 → 304

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	re	@	inf	(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms	base	@	-inf	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	inf	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	0	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	-inf	(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))

rewrite211.0ms (2.4%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1352×	`prod-exp`
548×	`log-prod`
466×	`*-commutative`
456×	`unswap-sqr`
388×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	207
1	97	201
2	333	201
3	2009	201

Stop Event

1×	node limit

Counts

13 → 951

Calls

Call 1

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

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

Calls

39 calls:

5.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	(*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))
0.0ms	(/.f64 1 (log.f64 base))
0.0ms	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))

simplify378.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1000×	`*-commutative`
960×	`unswap-sqr`
874×	`associate-*r/`
527×	`associate-*l/`
465×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1183	8589963539
1	2773	27039

Stop Event

1×	node limit

Counts

1255 → 752

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -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))
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(/.f64 1 (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
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(/.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
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(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(/.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 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))))
(/.f64 (cbrt.f64 (pow.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 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) -1)
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (neg.f64 (log.f64 base)) 3)) (pow.f64 (log.f64 base) -2))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (log.f64 base)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (-.f64 0 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (-.f64 0 (pow.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 3)) (+.f64 0 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -2) -1/2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (fma.f64 -1 (log.f64 (log.f64 base)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (fma.f64 -1 (log.f64 (log.f64 base)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 -1/2 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(exp.f64 (-.f64 (fma.f64 -2 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re))) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (log.f64 base)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (log.f64 (log.f64 base)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))) (sqrt.f64 (.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(.f64 1 (.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))) (cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base)))) (cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base)) (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))) (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(pow.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base)) 1)
(exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(log.f64 (exp.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (.f32 (.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (log.f64 base))))
(binary32->binary64 (/.f32 1 (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))
(binary32->binary64 (*.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (/.f32 1 (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (log.f64 base) (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (/.f64 (log.f64 base) (atan2.f64 im re))))
(binary32->binary64 (/.f32 (log.f32 (binary64->binary32 base)) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(binary32->binary64 (/.f32 1 (/.f32 (log.f32 (binary64->binary32 base)) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))
(binary32->binary64 (*.f32 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (neg.f32 (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))))
(binary32->binary64 (/.f32 -1 (*.f32 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (neg.f32 (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))))
(binary32->binary64 (/.f32 (cbrt.f32 (pow.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) 3)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (pow.f64 (atan2.f64 im re) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (atan2.f64 im re) 3)))
(binary32->binary64 (pow.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) 3))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3))))
(binary32->binary64 (cbrt.f32 (pow.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) 3)))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (.f32 (.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(binary32->binary64 (*.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) -2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) -2)))
(binary32->binary64 (pow.f32 (log.f32 (binary64->binary32 base)) -2))

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))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (log.f64 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)))))
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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)))))
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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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(binary32->binary64 (.f32 (.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (.f32 (log.f32 (binary64->binary32 base)) (.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (pow.f32 (log.f32 (binary64->binary32 base)) -2))))
(binary32->binary64 (.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(binary32->binary64 (binary64->binary32 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(binary32->binary64 (*.f32 (pow.f32 (log.f32 (binary64->binary32 base)) -2) (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (*.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (pow.f32 (log.f32 (binary64->binary32 base)) -2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) -2)))
(binary32->binary64 (binary64->binary32 (pow.f64 (log.f64 base) -2)))
(binary32->binary64 (pow.f32 (log.f32 (binary64->binary32 base)) -2))

eval184.0ms (2.1%)

Compiler: Compiled 11822 to 5224 computations (55.8% saved)

prune155.0ms (1.8%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	749	3	752
Fresh	1	8	9
Picked	1	4	5
Done	0	3	3
Total	751	18	769

Accuracy

100.0%

Counts

769 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	90.8%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	50.3%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	90.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2
	45.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	90.8%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	50.3%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) (log.f64 base))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	90.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2

Compiler

Compiled 498 to 380 computations (23.7% saved)

localize161.0ms (1.9%)

Localize:

Found 30 expressions with local error:

New	Accuracy	Program
	95.7%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.4%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.1%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
	99.8%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	100.0%	(log.f64 (log.f64 base))
	95.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.6%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	99.7%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
	100.0%	(/.f64 1 (atan2.f64 im re))
	99.5%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	99.8%	(/.f64 1 (log.f64 base))
	100.0%	(/.f64 1 (atan2.f64 im re))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.4%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	95.7%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	100.0%	(log.f64 (log.f64 base))
✓	99.8%	(*.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))))
	99.8%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	95.5%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	100.0%	(/.f64 1 (atan2.f64 im re))
✓	99.7%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓	99.6%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	100.0%	(/.f64 1 (atan2.f64 im re))
	99.8%	(/.f64 1 (log.f64 base))
✓	99.5%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 156 to 42 computations (73.1% saved)

series151.0ms (1.7%)

Counts

10 → 304

Calls

78 calls:

Time	Variable		Point	Expression
72.0ms	base	@	-inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
16.0ms	base	@	0	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
14.0ms	base	@	inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
7.0ms	im	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
6.0ms	im	@	0	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

rewrite431.0ms (5%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1594×	`log-prod`
1060×	`div-exp`
914×	`log-div`
556×	`associate-r`
498×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	238
1	100	166
2	524	166
3	4509	166

Stop Event

1×	node limit

Counts

10 → 1036

Calls

Call 1

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

Outputs
(-.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(-.f64 (/.f64 0 (neg.f64 (log.f64 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(-.f64 (/.f64 0 (/.f64 -1 (atan2.f64 im re))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (log.f64 base)) 1))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -3) 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1))
(*.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 -1 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1))
(.f64 -1 (.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (log.f64 base))))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (log.f64 base)) 1/3))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2)))
(.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) 1/3))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7) 1/3))
(*.f64 (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))) (exp.f64 (log.f64 (/.f64 -1 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 -1)) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) 3))
(.f64 (.f64 1 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 -1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 -1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) -1/2) 1))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) -1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))
(*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 1) (pow.f64 (/.f64 -1 (log.f64 base)) 1))
(*.f64 (pow.f64 (/.f64 -1 (log.f64 base)) 1) (pow.f64 (neg.f64 (atan2.f64 im re)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) 1/3) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (exp.f64 (log.f64 (/.f64 -1 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)
(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)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (log.f64 base))))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) (log.f64 base)) 1/3))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3/4) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/4))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2)))
(.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) 1/3))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7) 1/3))
(*.f64 (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))) (exp.f64 (log.f64 (/.f64 -1 (log.f64 base)))))
(*.f64 (exp.f64 (log.f64 -1)) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) 3))
(.f64 (.f64 1 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 -1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (/.f64 -1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) -1/2) 1))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) -1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (atan2.f64 im re) -1/2)))
(*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))
(*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 1) (pow.f64 (/.f64 -1 (log.f64 base)) 1))
(*.f64 (pow.f64 (/.f64 -1 (log.f64 base)) 1) (pow.f64 (neg.f64 (atan2.f64 im re)) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 8) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 7) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 5/2) 1/3) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6))
(*.f64 (exp.f64 (log.f64 (/.f64 -1 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2)))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1/2)))
(/.f64 (exp.f64 (log.f64 (cbrt.f64 (atan2.f64 im re)))) (exp.f64 (-.f64 (log.f64 (cbrt.f64 (log.f64 base))) (*.f64 -2/3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (atan2.f64 im re)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(/.f64 (exp.f64 (log.f64 -1)) (exp.f64 (log.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3)) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) 3) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) 3) (pow.f64 (neg.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 (*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (neg.f64 (cbrt.f64 (atan2.f64 im re)))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (/.f64 -1 (log.f64 base)))) (exp.f64 (log.f64 (/.f64 -1 (atan2.f64 im re)))))
(/.f64 (exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 2/3 (log.f64 (log.f64 base))))) (exp.f64 (log.f64 (cbrt.f64 (log.f64 base)))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (.f64 (.f64 -2/3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3/2))
(exp.f64 (-.f64 (*.f64 (log.f64 (exp.f64 -1)) (log.f64 (log.f64 base))) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) -1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (atan2.f64 im re))) -1) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 3) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 3) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))

Calls

35 calls:

1.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
0.0ms	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
0.0ms	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

simplify518.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1543×	`associate-/l*`
1143×	`associate-/r*`
981×	`*-commutative`
644×	`unswap-sqr`
634×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1269	21474876204
1	2917	37946

Stop Event

1×	node limit

Counts

1340 → 747

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))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.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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(neg.f64 (*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(exp.f64 (.f64 (.f64 -2/3 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3/2))
(exp.f64 (-.f64 (*.f64 (log.f64 (exp.f64 -1)) (log.f64 (log.f64 base))) (neg.f64 (log.f64 (atan2.f64 im re)))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) -1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (atan2.f64 im re))) -1) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 3) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 3) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(binary32->binary64 (pow.f32 (cbrt.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) 3))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (log.f64 base))))
(binary32->binary64 (/.f32 1 (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))
(binary32->binary64 (binary64->binary32 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))
(binary32->binary64 (/.f32 (/.f32 1 (log.f32 (binary64->binary32 base))) (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (atan2.f64 im re))))
(binary32->binary64 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))
(binary32->binary64 (*.f32 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))))
(binary32->binary64 (/.f32 1 (*.f32 (/.f32 1 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re))) (log.f32 (binary64->binary32 base)))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(binary32->binary64 (pow.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) 3))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(binary32->binary64 (cbrt.f32 (pow.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))) 3)))
(binary32->binary64 (binary64->binary32 (log.f64 (log.f64 base))))
(binary32->binary64 (binary64->binary32 (log.f64 (log.f64 base))))
(binary32->binary64 (log.f32 (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))))
(binary32->binary64 (binary64->binary32 (*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))))
(binary32->binary64 (*.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (exp.f32 (neg.f32 (log.f32 (log.f32 (binary64->binary32 base)))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (neg.f64 (log.f64 (log.f64 base))))))
(binary32->binary64 (binary64->binary32 (exp.f64 (neg.f64 (log.f64 (log.f64 base))))))
(binary32->binary64 (exp.f32 (neg.f32 (log.f32 (log.f32 (binary64->binary32 base))))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (binary64->binary32 (/.f64 (atan2.f64 im re) (log.f64 base))))
(binary32->binary64 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base))))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(binary32->binary64 (binary64->binary32 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(binary32->binary64 (pow.f32 (cbrt.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))) 3))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (binary64->binary32 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(binary32->binary64 (cbrt.f32 (/.f32 (atan2.f32 (binary64->binary32 im) (binary64->binary32 re)) (log.f32 (binary64->binary32 base)))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (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))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(binary32->binary64 (binary64->binary32 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
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eval369.0ms (4.2%)

Compiler: Compiled 17985 to 7928 computations (55.9% saved)

prune209.0ms (2.4%)

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1137	4	1141
Fresh	0	6	6
Picked	1	4	5
Done	1	6	7
Total	1139	20	1159

Accuracy

100.0%

Counts

1159 → 20

Alt Table

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Status	Accuracy	Program
	45.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	7.9%	(pow.f64 (cbrt.f64 -1/2) 3)
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	90.8%	(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)) (log.f64 base))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	50.3%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.9%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
✓	99.5%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	44.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	6.4%	(cbrt.f64 (pow.f64 1/4 3))
	8.0%	(cbrt.f64 (pow.f64 -1/4 3))
	6.1%	1
	6.4%	1/4
	11.1%	0
	8.0%	-1/4
	7.9%	-1/2

Compiler

Compiled 643 to 307 computations (52.3% saved)

regimes103.0ms (1.2%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(log.f64 base)
20.0ms	im
19.0ms	re
18.0ms	base
14.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

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

Compiler

Compiled 510 to 195 computations (61.8% saved)

regimes26.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
-1/2
-1/4
0
1/4
1
(cbrt.f64 (pow.f64 -1/4 3))
(cbrt.f64 (pow.f64 1/4 3))
(pow.f64 (cbrt.f64 -1/2) 3)

Outputs
-1/4
0

Calls

3 calls:

12.0ms	re
6.0ms	base
6.0ms	im

Results

Accuracy	Segments	Branch
15.5%	2	`re`
11.1%	1	`im`
11.1%	1	`base`

Compiler

Compiled 32 to 29 computations (9.4% saved)

regimes12.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/2
-1/4

Outputs
-1/4

Calls

3 calls:

4.0ms	base
3.0ms	re
3.0ms	im

Results

Accuracy	Segments	Branch
8.0%	1	`base`
8.0%	1	`im`
8.0%	1	`re`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/2

Outputs
-1/2

Calls

3 calls:

3.0ms	base
3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
7.9%	1	`base`
7.9%	1	`re`
7.9%	1	`im`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.356825395961624e+21	5.830708565252957e+22

Results

23.0ms

112×

body

256

valid

Compiler

Compiled 107 to 95 computations (11.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	30

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(if (<=.f64 re 5100000000000000000000) -1/4 0)
-1/4
-1/2

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(if (<=.f64 re 5100000000000000000000) -1/4 0)
-1/4
-1/2

Compiler

Compiled 26 to 22 computations (15.4% saved)

soundness318.0ms (3.7%)

Rules

2224×	`fma-neg`
976×	`div-sub`
752×	`associate-r`
752×	`associate-r`
752×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	332
1	230	316
2	433	196
3	714	148
4	1118	148
5	2615	148
6	3365	148
7	4834	148
0	14	68
1	35	68
2	146	68
3	821	68
4	6812	68
0	14	68
1	35	68
2	146	68
3	821	68
4	6812	68
0	14	68
1	35	68
2	146	68
3	821	68
4	6812	68

Stop Event

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

Compiler

Compiled 163 to 60 computations (63.2% saved)

end0.0ms (0%)

preprocess44.0ms (0.5%)

Compiler: Compiled 96 to 66 computations (31.3% saved)

analyze184.0ms (2.1%)

sample2.2s (25.6%)

preprocess191.0ms (2.2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize59.0ms (0.7%)

series79.0ms (0.9%)

rewrite85.0ms (1%)

simplify106.0ms (1.2%)

eval14.0ms (0.2%)

prune44.0ms (0.5%)

localize178.0ms (2.1%)

series349.0ms (4%)

rewrite346.0ms (4%)

simplify584.0ms (6.7%)

eval415.0ms (4.8%)

prune313.0ms (3.6%)

localize177.0ms (2%)

series28.0ms (0.3%)

rewrite211.0ms (2.4%)

simplify378.0ms (4.3%)

eval184.0ms (2.1%)

prune155.0ms (1.8%)

localize161.0ms (1.9%)

series151.0ms (1.7%)

rewrite431.0ms (5%)

simplify518.0ms (6%)

eval369.0ms (4.2%)

prune209.0ms (2.4%)

regimes103.0ms (1.2%)

regimes26.0ms (0.3%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch25.0ms (0.3%)

simplify10.0ms (0.1%)

soundness318.0ms (3.7%)

end0.0ms (0%)

preprocess44.0ms (0.5%)

Profiling