Details

analyze208.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.5s (23.6%)

Results

2.0s	8256×	body	256	valid
492.0ms	2082×	body	256	invalid

Bogosity

preprocess104.0ms (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)

simplify124.0ms (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

Error

0.31%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.7%	(/.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)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.55%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.87%	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series68.0ms (0.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
20.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
14.0ms	im	@	0	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
14.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
9.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
6.0ms	re	@	0	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

rewrite83.0ms (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 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 base))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 (log.f64 base) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 0) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 base)) (.f64 (log.f64 (cbrt.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (log.f64 base)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 3) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 3)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base))) (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 base) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))))))

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/l/`
1298×	`associate-/r/`
1208×	`distribute-lft-in`
1204×	`distribute-rgt-in`
420×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	5632
1	801	5450
2	3430	5450

Stop Event

1×	node limit

Counts

228 → 207

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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (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 (.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 (.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 (.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)) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.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 (.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)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2))
(*.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)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (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 (/.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 (/.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))))
(+.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))))
(log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.44%	(/.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	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite94.0ms (0.9%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify51.0ms (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))

eval55.0ms (0.5%)

Compiler: Compiled 3936 to 1272 computations (67.7% saved)

prune51.0ms (0.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	233	17	250
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	234	18	252

Error

Counts

252 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.75%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	0.78%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	2.33%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.75%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
▶	1.83%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	0.71%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.79%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (*.f64 3 (log.f64 (cbrt.f64 base)))))
	2.47%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	1.82%	(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
	39.54%	(/.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 base) (log.f64 base)))
▶	0.58%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	0.58%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	1.83%	(*.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)))
	0.71%	(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))
	0.65%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	7.78%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	7.78%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 523 to 350 computations (33.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.46%	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	0.56%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	0.83%	(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	@	inf	(pow.f64 (log.f64 base) -2)
1.0ms	base	@	0	(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 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))

rewrite73.0ms (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 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (sqrt.f64 (/.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) 2) -1/2) (pow.f64 (pow.f64 (log.f64 base) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) (sqrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re)) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 base (atan2.f64 im re))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 0) (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (atan2.f64 im re)) (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 base (atan2.f64 im re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 (pow.f64 base (atan2.f64 im re)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))))))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3716
1	625	3310
2	2165	3126

Stop Event

1×	node limit

Counts

146 → 129

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.42%	(/.f64 1 (log.f64 base))
✓	0.43%	(*.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)))

rewrite63.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))))

simplify58.0ms (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))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.88%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	13.34%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Compiler

Compiled 37 to 14 computations (62.2% saved)

series18.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	base	@	-inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	im	@	0	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	re	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	im	@	-inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	im	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`*-commutative`
900×	`associate-*r/`
868×	`unswap-sqr`
684×	`associate-/r*`
604×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	280	40
2	3048	40

Stop Event

1×	node limit

Counts

2 → 329

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))))

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1280×	`times-frac`
1172×	`associate-r`
958×	`associate-l`
910×	`associate-/l/`
762×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	12189
1	1914	11603
2	7759	11603

Stop Event

1×	node limit

Counts

401 → 413

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.42%	(/.f64 1 (log.f64 base))
✓	0.51%	(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.55%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	0.87%	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 43 to 16 computations (62.8% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-/r/`
1060×	`associate-/l/`
848×	`swap-sqr`
412×	`distribute-lft-neg-in`
356×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	267	34
2	3680	34

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule 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re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))) -1) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -2) -1) (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -2) (/.f64 -1 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (pow.f64 (log.f64 base) -1/2)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) -1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 base) -1/2)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (log.f64 base))) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (atan2.f64 im re)) (*.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) (*.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 1 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2))) (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (atan2.f64 im re) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1456×	`distribute-rgt-in`
1454×	`distribute-lft-in`
670×	`distribute-lft-neg-in`
592×	`associate-/l*`
584×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	362	4859
1	990	4663
2	4288	4663

Stop Event

1×	node limit

Counts

223 → 188

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	0.53%	(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
✓	0.76%	(pow.f64 (cbrt.f64 (log.f64 base)) 2)
✓	0.77%	(cbrt.f64 (log.f64 base))

Compiler

Compiled 40 to 13 computations (67.5% saved)

series21.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-*r/`
1654×	`associate-/l*`
1438×	`associate-*l/`
350×	`associate-/r/`
334×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	265	62
2	3392	62

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(cbrt.f64 (log.f64 base))
(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))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) 1/6) (.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (log.f64 base) 1/6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 base) 1/6)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((x .f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) 1) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (log.f64 base) 1/6)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (neg.f64 (cbrt.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1016×	`associate-/r/`
856×	`distribute-rgt-in`
854×	`distribute-lft-in`
798×	`times-frac`
492×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	315	5784
1	717	5644
2	3907	5644

Stop Event

1×	node limit

Counts

230 → 180

Calls

Call 1

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

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

eval241.0ms (2.3%)

Compiler: Compiled 19910 to 7148 computations (64.1% saved)

prune246.0ms (2.3%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1103	12	1115
Fresh	7	5	12
Picked	0	1	1
Done	2	3	5
Total	1112	21	1133

Error

Counts

1133 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	50.73%	(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) 3) 1/3)
	51.31%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 3) 1/3)
✓	50.75%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	0.78%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.83%	(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (.f64 (log.f64 base) (.f64 3 (log.f64 (cbrt.f64 base)))))
✓	1.83%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	1.29%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
▶	47.74%	(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
▶	0.71%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	0.79%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	53.14%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	0.58%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	0.58%	(*.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))))
	53.46%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	1.19%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	0.76%	(*.f64 (/.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (log.f64 base))) (atan2.f64 im re))
	0.71%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	0.65%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	7.78%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	7.78%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 533 to 382 computations (28.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(log1p.f64 (/.f64 1 (log.f64 base)))
✓	0.42%	(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
	0.42%	(/.f64 1 (log.f64 base))
✓	0.43%	(*.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series81.0ms (0.8%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	base	@	0	(log1p.f64 (/.f64 1 (log.f64 base)))
14.0ms	base	@	inf	(log1p.f64 (/.f64 1 (log.f64 base)))
12.0ms	base	@	-inf	(log1p.f64 (/.f64 1 (log.f64 base)))
0.0ms	re	@	-inf	(*.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))))
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
716×	`unswap-sqr`
558×	`swap-sqr`
414×	`sqr-pow`
408×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	247	43
2	2618	43

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(log1p.f64 (/.f64 1 (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (+.f64 1 (/.f64 1 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (log.f64 base))) (atan2.f64 im re)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (log1p.f64 (atan2.f64 im re))) (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1)) (+.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -2))) -1) (cbrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1) (atan2.f64 im re)) (+.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1) (atan2.f64 im re)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) -1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (log.f64 base)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)) (/.f64 1 (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1/2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 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simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1220×	`distribute-lft-in`
1148×	`associate-/l/`
1028×	`distribute-rgt-in`
924×	`*-commutative`
800×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	7004
1	971	6426
2	3420	6408

Stop Event

1×	node limit

Counts

232 → 247

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.46%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	0.56%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series4.0ms (0%)

Counts

2 → 44

Calls

18 calls:

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

rewrite82.0ms (0.8%)

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	40
1	217	34
2	2643	34

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 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((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule 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(log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

856×	`*-commutative`
820×	`associate-/r/`
674×	`distribute-lft-in`
642×	`distribute-rgt-in`
456×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4147
1	745	3909
2	2656	3895

Stop Event

1×	node limit

Counts

177 → 162

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.12%	(pow.f64 (log.f64 base) -1/2)
✓	0.23%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	0.4%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)

Compiler

Compiled 33 to 18 computations (45.5% saved)

series131.0ms (1.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
75.0ms	base	@	-inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
41.0ms	base	@	0	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
13.0ms	base	@	inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
0.0ms	base	@	-inf	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
0.0ms	base	@	inf	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`*-commutative`
888×	`sqrt-prod`
840×	`unswap-sqr`
588×	`swap-sqr`
460×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	263	45
2	2928	31

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 base) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 1 (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 base))) (*.f64 1 (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 1) (*.f64 (log.f64 (cbrt.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) 1) (*.f64 (log.f64 (sqrt.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (*.f64 (log.f64 base) (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/6) (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3/4) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base)))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 2)) (-.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))) (-.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (log.f64 base) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 base) 2) (*.f64 0 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 base)) 3) (pow.f64 (log.f64 (sqrt.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (-.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 base))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 base)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (+.f64 base -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 base -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (+.f64 1 (pow.f64 base (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/6) (sqrt.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/8) (sqrt.f64 (pow.f64 (log.f64 base) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 1 -1/2)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log.f64 base) -3/4)) (pow.f64 (log.f64 base) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (pow.f64 (sqrt.f64 (log.f64 base)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (pow.f64 (log.f64 base) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))))))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

330×	`associate-r`
308×	`associate-l`
142×	`fma-def`
140×	`sqr-pow`
122×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	3052
1	649	3052
2	2875	3052

Stop Event

1×

unsound

Counts

168 → 123

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 (log.f64 base) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(+.f64 0 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))
(+.f64 (exp.f64 (log1p.f64 (log.f64 base))) -1)
(+.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 1 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 1 (log.f64 (cbrt.f64 base))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 base))) (.f64 1 (log.f64 (sqrt.f64 base))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 1) (.f64 (log.f64 (cbrt.f64 base)) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 base)) 1) (.f64 (log.f64 (sqrt.f64 base)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 base)))) 1)
(*.f64 (log.f64 base) 1)
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 2 (log.f64 (sqrt.f64 base)))
(*.f64 1 (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) -3/4))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(.f64 (cbrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (.f64 (log.f64 base) (cbrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) 1/6) (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -3/4) (pow.f64 (log.f64 base) 1/4))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) 1/6))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (log.f64 base))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (log.f64 base) 1/6))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 (log.f64 base) 1)
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base)))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 base) 2)) (-.f64 0 (log.f64 base)))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))) (-.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 base)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))))
(/.f64 (+.f64 0 (pow.f64 (log.f64 base) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 base) 2) (*.f64 0 (log.f64 base)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 base)) 3) (pow.f64 (log.f64 (sqrt.f64 base)) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (-.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 base))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))))
(sqrt.f64 (pow.f64 (log.f64 base) 2))
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 (+.f64 1 (+.f64 base -1)))
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(expm1.f64 (log1p.f64 (log.f64 base)))
(exp.f64 (log.f64 (log.f64 base)))
(log1p.f64 (+.f64 base -1))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 1))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(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 (atan2.f64 im re)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 base (atan2.f64 im re))) 1))
(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 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 1 -1/2))
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))
(*.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) 1/6) (sqrt.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))
(*.f64 (pow.f64 (log.f64 base) -1/8) (sqrt.f64 (pow.f64 (log.f64 base) -3/4)))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2))
(*.f64 (fabs.f64 (pow.f64 1 -1/2)) (sqrt.f64 (log.f64 base)))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -3/4)) (pow.f64 (log.f64 base) -1/8))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (pow.f64 (sqrt.f64 (log.f64 base)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (pow.f64 (log.f64 base) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))))
(sqrt.f64 (log.f64 base))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))
(fabs.f64 (neg.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(+.f64 (log.f64 base) 0)
(/.f64 1 (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(+.f64 0 (log.f64 base))
(/.f64 1 (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(+.f64 (exp.f64 (log1p.f64 (log.f64 base))) -1)
(/.f64 1 (log.f64 base))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (log.f64 (cbrt.f64 base)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 1 (log.f64 (cbrt.f64 base))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 base))) (.f64 1 (log.f64 (sqrt.f64 base))))
(/.f64 1 (log.f64 base))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 1) (.f64 (log.f64 (cbrt.f64 base)) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))
(+.f64 (.f64 (log.f64 (sqrt.f64 base)) 1) (.f64 (log.f64 (sqrt.f64 base)) 1))
(/.f64 1 (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 base)))) 1)
(/.f64 1 (log.f64 base))
(*.f64 (log.f64 base) 1)
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 2 (log.f64 (sqrt.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) -3/4))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(.f64 (cbrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (.f64 (log.f64 base) (cbrt.f64 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(.f64 (pow.f64 (log.f64 base) 1/6) (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (pow.f64 (log.f64 base) -3/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) -3/4))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) 1/6))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (log.f64 base)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1))
(/.f64 1 (log.f64 base))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (log.f64 base))
(/.f64 1 (log.f64 base))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (log.f64 base) 1/6))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 base) 1)
(/.f64 1 (log.f64 base))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base)))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 base))) (.f64 2 (log.f64 (cbrt.f64 base)))) (.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base)))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 base) 2)) (-.f64 0 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))) (-.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) 1) (+.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))
(/.f64 1 (log.f64 base))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 base)) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 base))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base))))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 (cbrt.f64 base))) 3) (pow.f64 (log.f64 (cbrt.f64 base)) 3)) (fma.f64 (.f64 2 (log.f64 (cbrt.f64 base))) (.f64 2 (log.f64 (cbrt.f64 base))) (.f64 (log.f64 (cbrt.f64 base)) (-.f64 (log.f64 (cbrt.f64 base)) (*.f64 2 (log.f64 (cbrt.f64 base)))))))
(/.f64 (+.f64 0 (pow.f64 (log.f64 base) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 base) 2) (*.f64 0 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 base)) 3) (pow.f64 (log.f64 (sqrt.f64 base)) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (-.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base))))))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log.f64 base))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log.f64 base))) (exp.f64 (log1p.f64 (log.f64 base)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) 2))
(/.f64 1 (log.f64 base))
(fabs.f64 (log.f64 base))
(/.f64 1 (log.f64 base))
(log.f64 base)
(/.f64 1 (log.f64 base))
(log.f64 (+.f64 1 (+.f64 base -1)))
(log1p.f64 (+.f64 base -1))
(cbrt.f64 (pow.f64 (log.f64 base) 3))
(/.f64 1 (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(exp.f64 (log.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log1p.f64 (+.f64 base -1))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))) 1) (exp.f64 (log1p.f64 (.f64 (log.f64 base) (atan2.f64 im re))))))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(fabs.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (-.f64 (+.f64 1 (pow.f64 base (atan2.f64 im re))) 1))
(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))
(/.f64 (atan2.f64 im re) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log1p.f64 (+.f64 (pow.f64 base (atan2.f64 im re)) -1))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) -1)
(/.f64 1 (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 1 -1/2))
(/.f64 1 (log.f64 base))
(*.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(/.f64 1 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(.f64 (pow.f64 (log.f64 base) 1/6) (sqrt.f64 (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))
(*.f64 (pow.f64 (log.f64 base) -1/8) (sqrt.f64 (pow.f64 (log.f64 base) -3/4)))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2) (pow.f64 (cbrt.f64 (log.f64 base)) -1/2))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2))
(/.f64 1 (log.f64 base))
(*.f64 (fabs.f64 (pow.f64 1 -1/2)) (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1/2)) (fabs.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1/2)))
(/.f64 1 (log.f64 base))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -3/4)) (pow.f64 (log.f64 base) -1/8))
(*.f64 (pow.f64 (log.f64 base) -1/8) (sqrt.f64 (pow.f64 (log.f64 base) -3/4)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (pow.f64 (sqrt.f64 (log.f64 base)) 1/6))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -1)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 3))
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 6)
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) (cbrt.f64 (pow.f64 (log.f64 base) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 1/6) 6)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/6)) 3))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 1/4)) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1))))
(/.f64 1 (log.f64 base))
(sqrt.f64 (log.f64 base))
(/.f64 1 (log.f64 base))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(fabs.f64 (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 base) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.46%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.55%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	0.86%	(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	im	@	-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	base	@	inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))

rewrite77.0ms (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

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (cbrt.f64 (pow.f64 (log.f64 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(/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 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(2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify143.0ms (1.4%)

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))))
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(*.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 (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 (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))

localize42.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.12%

(sqrt.f64 (neg.f64 (log.f64 base)))

✓

0.24%

(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base))))

✓

0.26%

(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))

Compiler

Compiled 45 to 10 computations (77.8% saved)

series16.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`associate-*r/`
1100×	`*-commutative`
918×	`associate-*l/`
460×	`associate-/r/`
434×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	268	47
2	3753	47

Stop Event

1×	node limit

Counts

3 → 221

Calls

Call 1

Inputs

(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))

(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base))))

(sqrt.f64 (neg.f64 (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (log.f64 base)) (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) -1/2)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (pow.f64 -1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (neg.f64 (pow.f64 (log.f64 base) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) 1/4)) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) 1/4)) (neg.f64 (pow.f64 (log.f64 base) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 1 1/2)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2)) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 -1 1/2)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 1/4))) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))))))

simplify217.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1662×	`distribute-rgt-in`
1648×	`distribute-lft-in`
596×	`times-frac`
520×	`associate-/l*`
498×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	11331
1	1154	9585
2	4873	9585

Stop Event

1×	node limit

Counts

305 → 305

Calls

Call 1

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

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

eval400.0ms (3.8%)

Compiler: Compiled 18623 to 7026 computations (62.3% saved)

prune307.0ms (2.9%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1096	6	1102
Fresh	7	5	12
Picked	1	0	1
Done	2	6	8
Total	1106	17	1123

Error

Counts

1123 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.78%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	1.83%	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
✓	0.71%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	0.79%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	0.99%	(/.f64 1 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base)))))
▶	0.89%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	0.9%	(/.f64 1 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re))))
▶	14.87%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	53.14%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	53.13%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	0.58%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	53.46%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	1.15%	(*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))
	0.71%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	0.65%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	7.78%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 364 to 267 computations (26.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.51%	(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))
✓	0.57%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	0.83%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 35 to 15 computations (57.1% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`*-commutative`
970×	`unswap-sqr`
916×	`sqrt-prod`
634×	`swap-sqr`
440×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	239	46
2	2818	40

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2))))))))

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-+r+`
1552×	`associate-+l+`
952×	`unswap-sqr`
632×	`*-commutative`
532×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2836
1	344	2730
2	1286	2718
3	5533	2718

Stop Event

1×	node limit

Counts

114 → 63

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

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.11%	(/.f64 1 (atan2.f64 im re))
✓	0.56%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	0.58%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

24 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
970×	`associate-*r/`
832×	`associate-/r*`
760×	`unswap-sqr`
656×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	236	47
2	2895	47

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 0) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 (cbrt.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 -1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (*.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (atan2.f64 im re) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (/.f64 1 (atan2.f64 im re)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) (sqrt.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))))) (*.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) (sqrt.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))))))

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

854×	`distribute-lft-in`
848×	`distribute-rgt-in`
732×	`associate-/l*`
692×	`distribute-lft-neg-out`
626×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	7881
1	1123	7541
2	4714	7529

Stop Event

1×	node limit

Counts

283 → 306

Calls

Call 1

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.11%	(/.f64 1 (atan2.f64 im re))
✓	0.31%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	0.85%	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓	6.91%	(pow.f64 base (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 40 to 20 computations (50% saved)

series206.0ms (2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
55.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
30.0ms	re	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
29.0ms	base	@	0	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
21.0ms	base	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
15.0ms	re	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite159.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`*-commutative`
736×	`unswap-sqr`
582×	`swap-sqr`
566×	`associate-*r/`
466×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	239	53
2	2831	53

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))) (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 base (/.f64 2 (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re))))) (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 base (/.f64 2 (atan2.f64 im re)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -1) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) 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(log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify179.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-r`
510×	`associate-l`
504×	`associate-/l*`
450×	`*-commutative`
292×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	7522
1	1276	7522
2	5965	7522

Stop Event

1×

unsound

Counts

334 → 237

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)))
(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))
(/.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 (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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(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))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(*.f64 3 (log.f64 (cbrt.f64 base)))
✓	0.56%	(/.f64 1 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base)))))
✓	0.58%	(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base))))
✓	0.87%	(cbrt.f64 base)

Compiler

Compiled 50 to 24 computations (52% saved)

series702.0ms (6.7%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
624.0ms	base	@	-inf	(/.f64 1 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base)))))
43.0ms	im	@	0	(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base))))
15.0ms	im	@	-inf	(/.f64 1 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base)))))
7.0ms	re	@	0	(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base))))
2.0ms	base	@	inf	(/.f64 1 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 3 (log.f64 (cbrt.f64 base)))))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`associate-*r/`
1156×	`associate-/r*`
1072×	`associate-*l/`
710×	`associate-/l*`
414×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	296	44
2	3615	44

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 base 1/6) (pow.f64 base 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 base)) (pow.f64 (cbrt.f64 (cbrt.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 base)) 2) (cbrt.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 base) 1/3) (pow.f64 (sqrt.f64 base) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 base) 2) 1/3) (cbrt.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 base 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 base 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 base)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 base)))) (sqrt.f64 (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 base))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 base) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 base)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 0) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 3 (atan2.f64 im re)) 0) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 -1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (/.f64 3 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (.f64 (/.f64 3 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (cbrt.f64 base)) (.f64 1/3 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (cbrt.f64 base)) (.f64 1 (.f64 1/3 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (cbrt.f64 base)) (/.f64 (.f64 1/3 (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (neg.f64 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (cbrt.f64 base))) (/.f64 (.f64 1/3 (atan2.f64 im re)) (sqrt.f64 (log.f64 (cbrt.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (cbrt.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) 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egg-rr> (2) ((x .f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) (neg.f64 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (atan2.f64 im re)) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 3 (log.f64 base)) (.f64 1/3 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (atan2.f64 im re) -1/2)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (log.f64 base) -1)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 -1 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (log.f64 base) 1)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 base)) (log.f64 (pow.f64 (cbrt.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 base) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) 0) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (pow.f64 base 1/6))) (log.f64 (pow.f64 base 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (sqrt.f64 base))) (.f64 1 (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 base) 2))) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 base)) 2))) (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (log.f64 (pow.f64 base 1/6))) (.f64 3 (log.f64 (pow.f64 base 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 base)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 base)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 base 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 base 1))))))

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/l*`
1198×	`times-frac`
916×	`associate-/r*`
852×	`associate-r`
692×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	711	11845
1	1691	8817

Stop Event

1×	node limit

Counts

365 → 408

Calls

Call 1

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.04%	(log.f64 (log.f64 base))
✓	0.23%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	0.84%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series19.0ms (0.2%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	im	@	0	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
6.0ms	re	@	0	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
1.0ms	base	@	-inf	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
0.0ms	re	@	inf	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
0.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`add-sqr-sqrt`
1784×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1616×	`add-cbrt-cube`
228×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	227	31
2	2710	31

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (log.f64 base))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 base)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 base)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 base 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 base 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 2)) (cbrt.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 2)) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (log.f64 base)) 2) (*.f64 0 (log.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 base) 1))))))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1200×	`unswap-sqr`
1076×	`associate-/l*`
930×	`distribute-lft-in`
894×	`distribute-rgt-in`
754×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2578
1	340	1954
2	1565	1732

Stop Event

1×	node limit

Counts

126 → 100

Calls

Call 1

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

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

eval534.0ms (5.1%)

Compiler: Compiled 21088 to 8403 computations (60.2% saved)

prune374.0ms (3.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1187	10	1197
Fresh	5	1	6
Picked	1	0	1
Done	4	6	10
Total	1197	17	1214

Error

Counts

1214 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.78%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
✓	0.44%	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.85%	(/.f64 1 (/.f64 (/.f64 3 (atan2.f64 im re)) (/.f64 3 (log.f64 base))))
	0.89%	(/.f64 1 (/.f64 (/.f64 3 (atan2.f64 im re)) (/.f64 -1 (neg.f64 (log.f64 (cbrt.f64 base))))))
	0.96%	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
	0.92%	(/.f64 1 (/.f64 (*.f64 (log.f64 (cbrt.f64 base)) -3) (neg.f64 (atan2.f64 im re))))
✓	0.79%	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.9%	(/.f64 1 (*.f64 (/.f64 (log.f64 (cbrt.f64 base)) (atan2.f64 im re)) 3))
✓	0.89%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	14.87%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	1.09%	(*.f64 (pow.f64 (/.f64 3 (atan2.f64 im re)) -1) (pow.f64 (log.f64 (cbrt.f64 base)) -1))
✓	0.58%	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	85.82%	(*.f64 (atan2.f64 im re) 1)
	0.97%	(.f64 (/.f64 3 (log.f64 base)) (.f64 1/3 (atan2.f64 im re)))
✓	0.65%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	0.61%	(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 1/3))))
	0.91%	(*.f64 1/3 (/.f64 (atan2.f64 im re) (log.f64 (cbrt.f64 base))))

Compiler

Compiled 220 to 168 computations (23.6% saved)

regimes222.0ms (2.1%)

Accuracy

Total -63.7b remaining (-22472.2%)

Threshold costs -63.7b (-22472.2%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

5 calls:

96.0ms	(/.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)))
26.0ms	(log.f64 base)
25.0ms	re
20.0ms	im
19.0ms	base

Results

Error	Segments	Branch
0.44%	1	`re`
0.44%	1	`im`
0.44%	1	`base`
0.44%	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)))`
0.44%	1	`(log.f64 base)`

Compiler

Compiled 616 to 278 computations (54.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-rgt-identity`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	14	24

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 15 to 10 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)

end16.0ms (0.2%)

Compiler: Compiled 12 to 6 computations (50% saved)