Details

analyze480.0ms (4.6%)

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)

sample2.4s (22.4%)

Results

1.8s	8256×	body	256	valid
490.0ms	2051×	body	256	invalid

Bogosity

preprocess106.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1656×	`cube-prod`
1416×	`distribute-lft-in`
1128×	`distribute-rgt-in`
984×	`unswap-sqr`
720×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	156
1	122	148
2	209	92
3	316	68
4	394	68
5	958	68
6	2786	68
7	4532	68
8	5075	68
9	5182	68
10	5390	68
11	5842	68
12	7288	68
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 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 (atan2.f64 im base) (/.f64 (*.f64 (log.f64 re) (log.f64 re)) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (log.f64 re) 1))
(/.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 34 to 23 computations (32.4% saved)

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1276×	`distribute-lft-in`
1174×	`cube-prod`
1136×	`distribute-rgt-in`
1044×	`pow-sqr`
894×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	41	37
2	67	23
3	92	17
4	113	17
5	266	17
6	856	17
7	1995	17
8	2626	17
9	4016	17
10	4673	17
11	5852	17
12	6910	17
13	7193	17
14	7351	17

Stop Event

1×	node limit

Counts

1 → 5

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)))

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

eval1.0ms (0%)

Compiler: Compiled 70 to 27 computations (61.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Accurracy

99.6%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

Compiler

Compiled 24 to 14 computations (41.7% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series75.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
21.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
12.0ms	im	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
6.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
5.0ms	re	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1072×	`*-commutative`
1014×	`associate-*l/`
316×	`distribute-rgt-in`
314×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	223	45
2	3136	45

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

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

Outputs

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-/l/`
1304×	`associate-/r/`
1206×	`distribute-lft-in`
1202×	`distribute-rgt-in`
420×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	5632
1	799	5450
2	3424	5450

Stop Event

1×	node limit

Counts

228 → 205

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`add-sqr-sqrt`
1752×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	176	17
2	2170	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1120×	`distribute-lft-in`
972×	`distribute-rgt-in`
946×	`associate-+r+`
776×	`associate-+l+`
664×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1162
1	219	874
2	808	874
3	3459	874

Stop Event

1×	node limit

Counts

40 → 43

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

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

eval49.0ms (0.5%)

Compiler: Compiled 3915 to 1260 computations (67.8% saved)

prune51.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	228	20	248
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	229	21	250

Accurracy

100.0%

Counts

250 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
▶	98.6%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	48.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	48.3%	(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	97.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	99.2%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	99.2%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (*.f64 3 (log.f64 (cbrt.f64 base)))))
	97.6%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))
	98.1%	(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (log.f64 base))
	99.1%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	74.4%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	47.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	88.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 569 to 390 computations (31.5% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 24 to 11 computations (54.2% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 1 (log.f64 base))
0.0ms	base	@	inf	(/.f64 1 (log.f64 base))
0.0ms	base	@	0	(/.f64 1 (log.f64 base))
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	base	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1908×	`*-un-lft-identity`
1760×	`add-cube-cbrt`
1734×	`add-cbrt-cube`
208×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	212	28
2	2462	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1654×	`distribute-rgt-in`
1646×	`distribute-lft-in`
1002×	`associate-/r/`
716×	`unswap-sqr`
474×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1652
1	246	1520
2	812	1520
3	3629	1520

Stop Event

1×	node limit

Counts

90 → 56

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	98.9%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)

Compiler

Compiled 26 to 9 computations (65.4% saved)

series7.0ms (0.1%)

Counts

2 → 44

Calls

18 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`*-commutative`
822×	`associate-/r*`
652×	`unswap-sqr`
596×	`associate-*r/`
550×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	221	34
2	2639	34

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

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

Outputs

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

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1550×	`unswap-sqr`
698×	`associate-/l*`
532×	`distribute-lft-neg-in`
510×	`associate-/l/`
484×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	8478
1	1190	7324
2	4160	7312

Stop Event

1×	node limit

Counts

274 → 319

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	94.4%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series19.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`*-commutative`
718×	`unswap-sqr`
656×	`associate-*r/`
634×	`associate-/r*`
570×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	244	38
2	2724	38

Stop Event

1×	node limit

Counts

2 → 213

Calls

Call 1

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

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

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

706×	`distribute-rgt-in`
698×	`distribute-lft-in`
640×	`associate-/l*`
534×	`associate-r`
456×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	9237
1	1099	8189
2	4001	8149

Stop Event

1×	node limit

Counts

285 → 292

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (cbrt.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 (log.f64 base))) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (/.f64 (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 8)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (sqrt.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (cbrt.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) 1) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (neg.f64 (cbrt.f64 (atan2.f64 im re)))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (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 (*.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 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (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 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) 1) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (/.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 im re))) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (/.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (sqrt.f64 (cbrt.f64 (atan2.f64 im re))))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (sqrt.f64 (cbrt.f64 (atan2.f64 im re)))) (/.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(/.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(/.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) 1)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) -1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (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 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) 1) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (.f64 (sqrt.f64 (log.f64 base)) (fabs.f64 (cbrt.f64 (log.f64 base))))))
(/.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	99.1%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	base	@	-inf	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	0	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	inf	(pow.f64 (log.f64 base) -2)
0.0ms	base	@	-inf	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	base	@	-inf	(*.f64 (log.f64 base) (atan2.f64 im re))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
994×	`unswap-sqr`
922×	`sqrt-prod`
640×	`swap-sqr`
440×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	239	51
2	2821	45

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

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

Outputs

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

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

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

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1146×	`distribute-lft-in`
1122×	`distribute-rgt-in`
946×	`times-frac`
736×	`associate-*l/`
712×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3716
1	628	3310
2	2160	3126

Stop Event

1×	node limit

Counts

146 → 127

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
✓	99.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 43 to 16 computations (62.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
0.0ms	base	@	-inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
0.0ms	base	@	inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
0.0ms	im	@	inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
0.0ms	base	@	-inf	(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`associate-/r/`
870×	`associate-/l/`
870×	`swap-sqr`
360×	`distribute-lft-neg-in`
340×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	265	44
2	3654	44

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-in`
1170×	`distribute-rgt-in`
696×	`times-frac`
664×	`distribute-lft-neg-in`
546×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	4372
1	1026	3920
2	4928	3920

Stop Event

1×	node limit

Counts

198 → 197

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

eval328.0ms (3.1%)

Compiler: Compiled 19816 to 6495 computations (67.2% saved)

prune258.0ms (2.5%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1104	11	1115
Fresh	9	6	15
Picked	1	0	1
Done	2	3	5
Total	1116	20	1136

Accurracy

100.0%

Counts

1136 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
▶	98.6%	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)
	48.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	78.4%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
	44.5%	(pow.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -1)
✓	97.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	50.8%	(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
	98.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
▶	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	98.6%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	48.4%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	48.0%	(*.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 (/.f64 1 (log.f64 base)) 3)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	98.1%	(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (log.f64 base))
	74.4%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	47.7%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	88.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 478 to 347 computations (27.4% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	99.2%	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	base	@	inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(pow.f64 (log.f64 base) 2)
0.0ms	base	@	0	(pow.f64 (log.f64 base) 2)
0.0ms	im	@	-inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-/r*`
1454×	`associate-/l*`
1120×	`associate-*r/`
1068×	`*-commutative`
772×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	242	28
2	3064	28

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-+r-`
898×	`associate-+l-`
732×	`unswap-sqr`
652×	`*-commutative`
568×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	223	3626
1	546	3432
2	2131	3432
3	6124	3432

Stop Event

1×	node limit

Counts

146 → 124

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	98.9%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	base	@	inf	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	base	@	0	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	im	@	0	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`associate-/r*`
940×	`*-commutative`
884×	`associate-*r/`
634×	`unswap-sqr`
626×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	217	17
2	2643	17

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1278×	`associate-*r/`
1098×	`associate-+l+`
926×	`associate-/l*`
828×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	2510
1	378	2366
2	1268	2354
3	6154	2354

Stop Event

1×	node limit

Counts

98 → 81

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	99.1%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	88.8%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite112.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`*-commutative`
874×	`associate-*r/`
788×	`unswap-sqr`
684×	`associate-/r*`
574×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	246	40
2	2797	40

Stop Event

1×	node limit

Counts

2 → 325

Calls

Call 1

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

Outputs

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

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`times-frac`
1184×	`associate-r`
984×	`associate-l`
916×	`associate-/l/`
814×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	723	12117
1	1881	11171

Stop Event

1×	node limit

Counts

397 → 409

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

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

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 1 (atan2.f64 im re))
✓	99.7%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1)
✓	99.2%	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓	93.6%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series257.0ms (2.4%)

Counts

4 → 108

Calls

33 calls:

Time	Variable		Point	Expression
81.0ms	re	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
38.0ms	base	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
32.0ms	re	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
30.0ms	base	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
13.0ms	im	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite133.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`*-commutative`
776×	`unswap-sqr`
590×	`swap-sqr`
490×	`sqr-pow`
444×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	258	66
2	2918	66

Stop Event

1×	node limit

Counts

4 → 251

Calls

Call 1

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

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

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

720×	`associate-r`
662×	`associate-l`
460×	`*-commutative`
428×	`associate-/l*`
262×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	8041
1	1388	8041
2	6187	8041

Stop Event

1×

unsound

Counts

359 → 261

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 3 (log.f64 (cbrt.f64 base)))
✓	99.5%	(/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re))
✓	99.0%	(cbrt.f64 base)
✓	98.9%	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)

Compiler

Compiled 41 to 18 computations (56.1% saved)

series95.0ms (0.9%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
40.0ms	im	@	0	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)
35.0ms	base	@	-inf	(cbrt.f64 base)
7.0ms	re	@	0	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)
2.0ms	base	@	inf	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)
2.0ms	base	@	-inf	(pow.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) -1)

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`associate-/r*`
1088×	`associate-*r/`
1050×	`associate-/l*`
920×	`associate-*l/`
332×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	281	44
2	3395	44

Stop Event

1×	node limit

Counts

4 → 336

Calls

Call 1

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

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

simplify191.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1536×	`associate-/l*`
1278×	`times-frac`
902×	`associate-r`
812×	`associate-/r*`
744×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	12202
1	1738	8904

Stop Event

1×	node limit

Counts

384 → 426

Calls

Call 1

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

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

eval555.0ms (5.3%)

Compiler: Compiled 25925 to 9035 computations (65.1% saved)

prune488.0ms (4.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1465	7	1472
Fresh	9	3	12
Picked	1	0	1
Done	4	3	7
Total	1479	13	1492

Accurracy

100.0%

Counts

1492 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	99.4%	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)
	99.2%	(/.f64 (/.f64 (atan2.f64 im re) 3) (log.f64 (cbrt.f64 base)))
	99.0%	(/.f64 (/.f64 3 (log.f64 base)) (/.f64 3 (atan2.f64 im re)))
	99.0%	(/.f64 (/.f64 1 (/.f64 (log.f64 (cbrt.f64 base)) 1)) (/.f64 3 (atan2.f64 im re)))
▶	98.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	97.3%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	98.8%	(/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	98.1%	(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (log.f64 base))
▶	99.5%	(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))

Compiler

Compiled 299 to 226 computations (24.4% saved)

localize70.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (pow.f64 base 1/3))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
✓	99.5%	(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
✓	92.3%	(pow.f64 base 1/3)

Compiler

Compiled 35 to 20 computations (42.9% saved)

series12.0ms (0.1%)

Counts

4 → 0

Calls

24 calls:

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

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`*-commutative`
1026×	`associate-/r*`
886×	`associate-*r/`
674×	`associate-/l*`
668×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	247	58
2	2975	52

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

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

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

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/l*`
1192×	`distribute-lft-in`
1138×	`times-frac`
742×	`associate-/r*`
604×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	523	5740
1	1204	5502
2	6402	5502

Stop Event

1×	node limit

Counts

240 → 289

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(/.f64 1 (atan2.f64 im re))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 31 to 15 computations (51.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	base	@	0	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	base	@	-inf	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	base	@	inf	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	im	@	-inf	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.0ms	re	@	-inf	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`associate-*r/`
1044×	`*-commutative`
976×	`associate-/r*`
782×	`associate-*l/`
770×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	243	17
2	3059	17

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1568×	`distribute-rgt-in`
1548×	`distribute-lft-in`
1258×	`associate-+r+`
882×	`associate-+l+`
564×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	2138
1	304	2066
2	966	2060
3	4180	2060

Stop Event

1×	node limit

Counts

84 → 72

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (cbrt.f64 base))
✓	99.6%	(/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))
	99.0%	(cbrt.f64 base)
✓	99.0%	(/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	base	@	-inf	(/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))
0.0ms	base	@	0	(/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))
0.0ms	base	@	inf	(/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))
0.0ms	base	@	0	(/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))
0.0ms	base	@	-inf	(/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))

rewrite114.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-/r*`
1106×	`associate-*r/`
1068×	`*-commutative`
764×	`associate-*l/`
680×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	242	57
2	3001	53

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

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

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-frac-neg`
584×	`associate-r`
540×	`associate-l`
508×	`distribute-lft-neg-in`
432×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	336	5534
1	813	4724
2	3935	4724

Stop Event

1×	node limit

Counts

206 → 186

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log.f64 (cbrt.f64 base))
✓	99.6%	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))
	99.0%	(cbrt.f64 base)

Compiler

Compiled 31 to 10 computations (67.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))
0.0ms	base	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)
0.0ms	base	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)
0.0ms	base	@	0	(/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))
0.0ms	base	@	0	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
1078×	`*-commutative`
1020×	`associate-/r*`
922×	`associate-*l/`
886×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	243	48
2	3006	48

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

(((-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) 1) (2)) ((*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) (2)) ((*.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 1/3) (2)) ((*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 1) (2)) ((*.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) (2)) ((*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (/.f64 1/3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))))) (2)) ((*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 1/3)) (2)) ((*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (2)) ((*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) -1/3) (2)) ((*.f64 (/.f64 1/3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re)) (2)) ((*.f64 (/.f64 1/3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 1/3) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2)) (2)) ((*.f64 (/.f64 (atan2.f64 im re) 3) (/.f64 3 (log.f64 base))) (2)) ((*.f64 -1/3 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) 3)) (2)) ((*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 3)) (2)) ((*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 3) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 3) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 base)) 3)) (sqrt.f64 (atan2.f64 im re))) (2)) ((*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 1 (/.f64 3 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 3) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (log.f64 (cbrt.f64 base)) 3)) (cbrt.f64 (atan2.f64 im re))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 1/3 (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 (cbrt.f64 base))))) (2)) ((*.f64 (/.f64 1/3 (neg.f64 (log.f64 (cbrt.f64 base)))) (neg.f64 (atan2.f64 im re))) (2)) ((*.f64 (/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (sqrt.f64 (atan2.f64 im re)))) (sqrt.f64 (atan2.f64 im re))) (2)) ((*.f64 (/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re))) (2)) ((pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 3) 1/3) (2)) ((pow.f64 (*.f64 (log.f64 (cbrt.f64 base)) (/.f64 3 (atan2.f64 im re))) -1) (2)) ((neg.f64 (/.f64 (atan2.f64 im re) (*.f64 -3 (log.f64 (cbrt.f64 base))))) (2)) ((sqrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 2) 1/9)) (2)) ((log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) (2)) ((exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) (2)) ((log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) (2)))

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/l*`
962×	`unswap-sqr`
784×	`times-frac`
714×	`associate-/r*`
626×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3786
1	435	3486
2	1828	3102

Stop Event

1×	node limit

Counts

136 → 105

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3)))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))) 1)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 3 (log.f64 base)) (atan2.f64 im re))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 1 (sqrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)))
(*.f64 (/.f64 -1 (log.f64 (cbrt.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) 1))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 (cbrt.f64 base))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (/.f64 (log.f64 (cbrt.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (cbrt.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 1/3)
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 1)
(.f64 1 (.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))
(.f64 (sqrt.f64 (.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) (/.f64 1/3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2) (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2) (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 1/3))
(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) -1/3)
(*.f64 (/.f64 1/3 (log.f64 (cbrt.f64 base))) (atan2.f64 im re))
(*.f64 (/.f64 1/3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 1/3) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2))
(*.f64 (/.f64 (atan2.f64 im re) 3) (/.f64 3 (log.f64 base)))
(*.f64 -1/3 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) 3))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 3))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 3) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 3) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))
(.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (log.f64 (cbrt.f64 base)) 3)) (sqrt.f64 (atan2.f64 im re)))
(.f64 (/.f64 1 (.f64 3 (sqrt.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 1 (/.f64 3 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 3) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (log.f64 (cbrt.f64 base)) 3)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 1/3 (sqrt.f64 (log.f64 (cbrt.f64 base)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 (cbrt.f64 base)))))
(*.f64 (/.f64 1/3 (neg.f64 (log.f64 (cbrt.f64 base)))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (sqrt.f64 (atan2.f64 im re)))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1/3 (/.f64 (log.f64 (cbrt.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 3) 1/3)
(pow.f64 (*.f64 (log.f64 (cbrt.f64 base)) (/.f64 3 (atan2.f64 im re))) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (*.f64 -3 (log.f64 (cbrt.f64 base)))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 2) 1/9))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1/3 (log.f64 (cbrt.f64 base))))))

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

localize26.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	94.2%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)

Compiler

Compiled 37 to 14 computations (62.2% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
0.0ms	im	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
0.0ms	base	@	-inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
0.0ms	base	@	-inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
0.0ms	base	@	inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`*-commutative`
774×	`unswap-sqr`
618×	`associate-/r*`
598×	`swap-sqr`
540×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	274	38
2	2960	38

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

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

Outputs

(((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1) (2)) ((*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) (2)) ((*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (2)) ((*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (2)) ((*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (2)) ((*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (2)) ((*.f64 (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))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)) ((*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base)))) (2)) ((*.f64 (cbrt.f64 (atan2.f64 im re)) (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6))) (2)) ((*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (atan2.f64 im re))) (2)) ((*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)) (cbrt.f64 (atan2.f64 im re))) (2)) ((*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)) ((*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2)) (2)) ((*.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)))) (2)) ((*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)))) (2)) ((*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12))) (2)) ((*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12))) (2)) ((*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))) (2)) ((*.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))) (2)) ((*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (2)) ((*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.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)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)))) (2)) ((*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (2)) ((*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)))) (2)) ((*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/12) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/12)) (2)) ((/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (2)) ((/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))) (2)) ((/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (cbrt.f64 (atan2.f64 im re))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))) (2)) ((/.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (atan2.f64 im re))))) (2)) ((/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))) (2)) ((/.f64 (*.f64 1 (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) 1) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) 1) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (2)) ((log.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (2)) ((cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (2)) ((expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)) ((exp.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)) ((log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (2)))

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

simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

952×	`unswap-sqr`
546×	`associate-/l*`
438×	`associate-/l/`
414×	`associate-r`
382×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7217
1	1039	6493
2	3463	6477

Stop Event

1×	node limit

Counts

241 → 255

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.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)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/12) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/12))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (atan2.f64 im re)))))
(/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) 1) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (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 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
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(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.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 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 1))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base))))
(neg.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (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))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 (pow.f64 1 1/3) (/.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 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.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 (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))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6))))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12)))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/12) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
(.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (*.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/6) (.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)))
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(/.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 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) 3) (cbrt.f64 (neg.f64 (atan2.f64 im re)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) 1) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (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 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (atan2.f64 im re))) (cbrt.f64 (neg.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) 1)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) -1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) 1) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (.f64 (.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (fabs.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) 3) (sqrt.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 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval696.0ms (6.6%)

Compiler: Compiled 17891 to 6803 computations (62% saved)

prune473.0ms (4.5%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1119	6	1125
Fresh	3	2	5
Picked	0	1	1
Done	1	6	7
Total	1123	15	1138

Accurracy

100.0%

Counts

1138 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.6%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/3)) 3)
	99.4%	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))) 3)
✓	99.4%	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))) 3)
	99.3%	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) 3) (log.f64 base)) 1/3)
	99.0%	(/.f64 (/.f64 3 (log.f64 base)) (/.f64 3 (atan2.f64 im re)))
✓	98.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (/.f64 -1 (log.f64 (cbrt.f64 base))) (neg.f64 (atan2.f64 im re))) 3)
	99.1%	(/.f64 (*.f64 1/3 (atan2.f64 im re)) (/.f64 (log.f64 base) 3))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.9%	(/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (atan2.f64 im re)))
✓	99.5%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	98.1%	(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (log.f64 base))
✓	99.5%	(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))

Compiler

Compiled 191 to 144 computations (24.6% saved)

regimes179.0ms (1.7%)

Accuracy

Total -63.7b remaining (-20639.2%)

Threshold costs -63.7b (-20639.2%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

5 calls:

66.0ms	(log.f64 base)
39.0ms	im
23.0ms	base
22.0ms	re
16.0ms	(/.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
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 564 to 247 computations (56.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness222.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1276×	`distribute-lft-in`
1174×	`cube-prod`
1136×	`distribute-rgt-in`
1044×	`pow-sqr`
894×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	41	37
2	67	23
3	92	17
4	113	17
5	266	17
6	856	17
7	1995	17
8	2626	17
9	4016	17
10	4673	17
11	5852	17
12	6910	17
13	7193	17
14	7351	17

Stop Event

1×	node limit

Compiler

Compiled 151 to 46 computations (69.5% saved)

end20.0ms (0.2%)

Compiler: Compiled 9 to 6 computations (33.3% saved)