Details

analyze461.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	7
11.5%	8.6%	66.3%	0.1%	0%	25%	0%	8
18.2%	13.7%	61.2%	0.1%	0%	25%	0%	9
32.8%	20.5%	41.9%	0.1%	0%	37.4%	0%	10
38.9%	24.3%	38.1%	0.1%	0%	37.4%	0%	11
45.7%	28.5%	33.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (16.8%)

Results

1.7s	8256×	body	256	valid
415.0ms	2088×	body	256	invalid

Bogosity

preprocess82.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1432×	`cube-prod`
996×	`sqr-pow`
936×	`distribute-lft-in`
924×	`distribute-rgt-in`
924×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	172
1	97	164
2	117	164
3	150	108
4	219	84
5	244	84
6	614	84
7	2426	84
8	4396	84
9	4804	84
10	5769	84
11	7155	84
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1656×	`distribute-lft-in`
1496×	`distribute-rgt-in`
1148×	`associate-/r/`
1042×	`sqr-pow`
1034×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	34	41
2	42	41
3	53	27
4	72	21
5	81	21
6	206	21
7	1264	21
8	2014	21
9	3312	21
10	4203	21
11	4695	21
12	5647	21
13	7659	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 87 to 32 computations (63.2% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

0.3b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series67.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
12.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
3.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
1.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1918×	`add-sqr-sqrt`
1908×	`*-un-lft-identity`
1758×	`add-cube-cbrt`
1734×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	194	21
2	2367	21

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1304×	`associate-+l+`
856×	`times-frac`
854×	`associate-/l*`
772×	`associate-*r/`
724×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3652
1	495	2962
2	1683	2890
3	6302	2890

Stop Event

1×	node limit

Counts

68 → 119

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 im (.f64 im (log.f64 base))))))
(fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 im (.f64 im (log.f64 base)))))))
(fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))
(-.f64 (/.f64 (.f64 (.f64 1/2 im) im) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 (.f64 (.f64 1/2 im) im) (.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))) (/.f64 (.f64 (.f64 1/2 im) im) (.f64 (log.f64 base) (.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (fma.f64 1/720 (.f64 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) 120) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))
(-.f64 (/.f64 (.f64 (.f64 1/2 im) im) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (/.f64 (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) im) im)) (*.f64 re re)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 (.f64 (.f64 1/2 im) im) (.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	0.6b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-*r/`
1368×	`associate-*l/`
462×	`distribute-rgt-in`
426×	`distribute-lft-in`
342×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	241	53
2	3331	53

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

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

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simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1542×	`distribute-lft-in`
1406×	`associate-/r/`
1338×	`associate-/l/`
582×	`+-commutative`
536×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	9956
1	1260	8326
2	4703	8318

Stop Event

1×	node limit

Counts

216 → 382

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

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

eval138.0ms (1.1%)

Compiler: Compiled 11910 to 4934 computations (58.6% saved)

prune97.0ms (0.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	482	19	501
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	483	20	503

Error

Counts

503 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	30.1b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	29.7b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
▶	32.0b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
	29.6b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	31.9b	(/.f64 (log.f64 im) (log.f64 base))
	30.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (.f64 (log.f64 base) (log.f64 base)))
	18.6b	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im))))
	1.2b	(.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	0.5b	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	18.7b	(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
▶	1.2b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	14.9b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	30.0b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 558 to 381 computations (31.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	0.4b	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 32 to 10 computations (68.8% saved)

series21.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`*-commutative`
822×	`associate-/r*`
704×	`unswap-sqr`
612×	`associate-*r/`
588×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	239	42
2	2834	42

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs

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

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-/l*`
1222×	`associate-/r*`
1054×	`*-commutative`
1054×	`associate-r`
796×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	945	24592
1	2655	24044

Stop Event

1×	node limit

Counts

308 → 486

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
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(/.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2)))
(/.f64 (pow.f64 (log.f64 base) -1) (/.f64 1 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) 1)) (log.f64 base))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 1 (log.f64 base))) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) 1)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) 1)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series59.0ms (0.5%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
11.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
9.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
6.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
2.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1424×	`add-cube-cbrt`
1404×	`add-cbrt-cube`
1388×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	154	15
2	1918	15

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-r`
1130×	`associate-+r+`
864×	`associate-+l+`
678×	`distribute-lft-neg-out`
516×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	1281
1	242	961
2	852	961
3	4569	961

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.2b	(*.f64 (log.f64 base) (log.f64 im))
	0.6b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`associate-*r/`
1000×	`*-commutative`
968×	`associate-*l/`
632×	`swap-sqr`
368×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	201	30
2	2862	30

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r/`
972×	`*-commutative`
586×	`distribute-lft-in`
532×	`distribute-rgt-in`
416×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4049
1	778	3549
2	2914	3531

Stop Event

1×	node limit

Counts

167 → 169

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	0.4b	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	1.0b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
1.0ms	im	@	inf	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
1.0ms	re	@	0	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
1.0ms	im	@	0	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
1.0ms	re	@	-inf	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`*-commutative`
642×	`unswap-sqr`
620×	`associate-/r*`
558×	`swap-sqr`
524×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	231	46
2	2594	46

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

Outputs

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

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

simplify343.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

986×	`+-commutative`
964×	`associate-+l+`
778×	`associate-+r+`
756×	`associate-/l*`
564×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	677	15161
1	1742	12327
2	6537	12321

Stop Event

1×	node limit

Counts

249 → 395

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
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(.f64 (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 1) (-.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) 1/6))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))) 1) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))) 1) (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) -1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1) (+.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (.f64 2 (/.f64 1 (log.f64 base)))) 1)) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1)) (+.f64 (pow.f64 (hypot.f64 re im) (.f64 2 (/.f64 1 (log.f64 base)))) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 re im) (.f64 2 (/.f64 1 (log.f64 base)))) 1) 1) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1) 1) (+.f64 (pow.f64 (hypot.f64 re im) (.f64 2 (/.f64 1 (log.f64 base)))) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 base)))) (.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 base)))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))
(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))
(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (*.f64 re re))))))
(+.f64 (/.f64 (/.f64 -1/4 (/.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 re 4)) (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6))) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (/.f64 (.f64 1/6 (pow.f64 im 6)) (log.f64 base)) (pow.f64 re 6))) (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (/.f64 (.f64 1/6 (pow.f64 im 6)) (log.f64 base)) (pow.f64 re 6))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))))
(-.f64 (/.f64 (.f64 1/2 (.f64 re re)) (.f64 im (.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 base)))) (.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (fma.f64 1/720 (/.f64 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 base)) (pow.f64 im 6)) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 base)))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (/.f64 120 (pow.f64 im 6))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1) 1) (+.f64 (pow.f64 (hypot.f64 re im) (.f64 2 (/.f64 1 (log.f64 base)))) (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) -1) (+.f64 (+.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))) 3)) (+.f64 1 (+.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 im re) (/.f64 2 (log.f64 base))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))) 3)) (+.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))) (+.f64 1 (pow.f64 (hypot.f64 im re) (/.f64 2 (log.f64 base))))))
(pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) 1/3)
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(fabs.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(expm1.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(expm1.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
✓	0.3b	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
✓	0.6b	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 41 to 16 computations (61% saved)

series9.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite130.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`*-commutative`
1022×	`unswap-sqr`
672×	`swap-sqr`
476×	`sqr-pow`
456×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	257	65
2	3013	59

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

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

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

simplify210.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1944×	`associate-/l*`
1740×	`distribute-lft-in`
614×	`+-commutative`
556×	`associate-+r+`
552×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	9089
1	1197	7743
2	4339	7721

Stop Event

1×	node limit

Counts

179 → 340

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 (log.f64 im) (pow.f64 (log.f64 base) 2))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))))
(/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (log.f64 base) 2))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2))))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(+.f64 (.f64 0 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (.f64 (log.f64 (cbrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (.f64 (log.f64 (sqrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (*.f64 im im))))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (.f64 im im)) (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (.f64 im im)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (.f64 im im)))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (.f64 im im)) (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (.f64 im im)) (*.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 2)))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (pow.f64 im 6)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (.f64 im im))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (.f64 im im)) (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 (.f64 -1/4 (pow.f64 re 4)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (pow.f64 (log.f64 base) 2)) (.f64 im im)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (pow.f64 (log.f64 base) 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 re re))) (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2))))
(-.f64 (.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)))
(-.f64 (.f64 (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (.f64 im im)) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (-.f64 (/.f64 (/.f64 (*.f64 -1/4 (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (/.f64 (/.f64 (*.f64 -1/4 (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2))) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (/.f64 120 (pow.f64 re 6))) (-.f64 (/.f64 (/.f64 (.f64 -1/4 (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))) 120) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (pow.f64 (log.f64 base) 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 re re))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))))
(-.f64 (.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(-.f64 (.f64 (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (.f64 im im)) (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (-.f64 (/.f64 (/.f64 (*.f64 -1/4 (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (/.f64 120 (pow.f64 re 6))) (-.f64 (/.f64 (/.f64 (.f64 -1/4 (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))) 120) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (pow.f64 (log.f64 base) 2)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2)))))
(/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2)))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 re re))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2)))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (pow.f64 (log.f64 base) 2) (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))))
(fma.f64 1/2 (.f64 (/.f64 im (pow.f64 (log.f64 base) 2)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))) (/.f64 (log.f64 re) (pow.f64 (log.f64 base) 2))))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 3) 1/3)
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) 4))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 base)) 4))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2))) 1))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(log.f64 (+.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2)) 0))
(log.f64 (+.f64 0 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 3))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) -1))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(log.f64 (+.f64 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2)) 0))
(log.f64 (+.f64 0 (pow.f64 (hypot.f64 im re) (pow.f64 (log.f64 base) -2))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 base))))
(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 im re)) (*.f64 3 (log.f64 (cbrt.f64 base)))))
(+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))
(.f64 2 (.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base)))))
(.f64 2 (.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 (sqrt.f64 base)))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 2 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 (sqrt.f64 base)))))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(.f64 2 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 im re)))) (log.f64 base))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 im re))) (log.f64 base)))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (/.f64 1 (log.f64 base)) (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 im re)))) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 im re)))) (log.f64 base))
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (.f64 0 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (.f64 (log.f64 (cbrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 im re)) (*.f64 3 (log.f64 (cbrt.f64 base)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (.f64 (log.f64 (sqrt.f64 base)) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))
(.f64 2 (.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base)))))
(.f64 2 (.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 (sqrt.f64 base)))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 2 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 (sqrt.f64 base)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(.f64 2 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 im re)))) (log.f64 base))
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 im re))) (log.f64 base)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(.f64 (/.f64 1 (log.f64 base)) (+.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 im re)))) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 im re)))) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))) (exp.f64 (*.f64 2 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 im re))) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

eval897.0ms (7%)

Compiler: Compiled 45099 to 20926 computations (53.6% saved)

prune539.0ms (4.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1584	20	1604
Fresh	9	5	14
Picked	1	0	1
Done	3	2	5
Total	1597	27	1624

Error

Counts

1624 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	16.0b	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1) -1)
	0.4b	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
▶	47.8b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	29.7b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	32.0b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	29.6b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
▶	0.4b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	41.2b	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im)))
▶	29.7b	(*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	32.0b	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	32.0b	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 im))))
▶	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	32.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	0.6b	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))) (log.f64 base))
	1.4b	(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))
	30.2b	(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))))
	32.3b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	39.8b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	32.0b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 654 to 501 computations (23.4% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	0.4b	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 32 to 10 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-/r*`
1012×	`*-commutative`
898×	`associate-*r/`
644×	`associate-*l/`
608×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	235	21
2	2836	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-*r/`
1326×	`associate-/l*`
938×	`associate-*l/`
934×	`times-frac`
832×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5114
1	673	4076
2	2159	3996

Stop Event

1×	node limit

Counts

100 → 162

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base)))))
(fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 base)) (.f64 im im)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 base)) (.f64 im im)) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 base)) (.f64 im im)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 base)))))
(-.f64 (/.f64 1/2 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (*.f64 im im))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 1/2 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (.f64 im im))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 base))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))) (/.f64 1/2 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (*.f64 im im)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6))) 120)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) -1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 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	@	-inf	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms	base	@	0	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1562×	`add-cube-cbrt`
1538×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	188	26
2	2180	26

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1882×	`distribute-rgt-in`
1864×	`distribute-lft-in`
1196×	`associate-/r/`
716×	`unswap-sqr`
538×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	1426
1	269	1286
2	864	1286
3	3868	1286

Stop Event

1×	node limit

Counts

78 → 60

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`*-commutative`
718×	`unswap-sqr`
568×	`swap-sqr`
472×	`associate-*r/`
416×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	228	21
2	2629	21

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1712×	`associate-*r/`
1226×	`associate-*l/`
1146×	`associate-/l/`
834×	`associate-/r/`
746×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5744
1	782	4728
2	2681	4660

Stop Event

1×	node limit

Counts

108 → 197

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 1 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) -1) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (.f64 (log.f64 (hypot.f64 re im)) (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))))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (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 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	0.3b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1852×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	219	34
2	2384	34

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

Outputs

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1294×	`times-frac`
1140×	`associate-/l*`
1022×	`associate-*r/`
894×	`associate-/r*`
822×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2771
1	406	2651
2	1521	2643

Stop Event

1×	node limit

Counts

115 → 102

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2))
✓	0.2b	(*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	0.2b	(log.f64 (/.f64 -1 re))
✓	0.6b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 48 to 32 computations (33.3% saved)

series47.0ms (0.4%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	base	@	0	(*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2)) (log.f64 base))
10.0ms	re	@	0	(log.f64 (/.f64 -1 re))
7.0ms	re	@	0	(*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2)) (log.f64 base))
6.0ms	re	@	inf	(log.f64 (/.f64 -1 re))
5.0ms	re	@	-inf	(log.f64 (/.f64 -1 re))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-/r*`
1266×	`associate-*r/`
1136×	`*-commutative`
1036×	`associate-/l*`
822×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	291	80
2	3704	80

Stop Event

1×	node limit

Counts

4 → 319

Calls

Call 1

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

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

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-/l*`
1010×	`associate-/r*`
978×	`associate-r`
812×	`associate-l`
738×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	13769
1	1682	12091

Stop Event

1×	node limit

Counts

383 → 470

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

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

eval404.0ms (3.1%)

Compiler: Compiled 25240 to 11797 computations (53.3% saved)

prune296.0ms (2.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1210	9	1219
Fresh	9	11	20
Picked	1	0	1
Done	1	5	6
Total	1221	25	1246

Error

Counts

1246 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.8b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	30.1b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	32.0b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	29.7b	(/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) (pow.f64 (log.f64 base) 2))
	29.6b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	29.6b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
▶	29.7b	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
	32.0b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	0.4b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	32.4b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 im))
	32.0b	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	32.0b	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 im))))
✓	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	32.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	29.7b	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (neg.f64 re))) (log.f64 base))
▶	0.4b	(*.f64 3 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))
	1.4b	(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))
	32.3b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	39.8b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	32.0b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 531 to 417 computations (21.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (hypot.f64 re im)))
✓	0.2b	(*.f64 3 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))
✓	0.3b	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))
✓	0.6b	(cbrt.f64 (hypot.f64 re im))

Compiler

Compiled 39 to 11 computations (71.8% saved)

series50.0ms (0.4%)

Counts

4 → 56

Calls

30 calls:

Time	Variable		Point	Expression
20.0ms	im	@	inf	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))
14.0ms	base	@	0	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))
1.0ms	re	@	0	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))
1.0ms	im	@	0	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))
1.0ms	re	@	inf	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))

rewrite134.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`*-commutative`
820×	`associate-*r/`
808×	`associate-/r*`
730×	`unswap-sqr`
678×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	254	82
2	3046	82

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1742×	`associate-/l*`
992×	`associate-r`
890×	`associate-l`
756×	`times-frac`
640×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	681	12014
1	1744	10754

Stop Event

1×	node limit

Counts

286 → 396

Calls

Call 1

Inputs
(pow.f64 im 1/3)
(+.f64 (pow.f64 im 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))))
(+.f64 (pow.f64 im 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2)))))
(+.f64 (pow.f64 im 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 17)) 1/3) (pow.f64 re 6))))))
(pow.f64 re 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))
(+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 17)) 1/3) (pow.f64 im 6))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))))
(/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6)))) (.f64 95/3 (/.f64 1 (pow.f64 im 6)))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))
(/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (+.f64 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 re 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 6))))) (pow.f64 im 6)) (log.f64 base))))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/240 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 im 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6))))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))))
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(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(.f64 (neg.f64 (sqrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) 1/3)
(neg.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log1p.f64 (-.f64 (cbrt.f64 (hypot.f64 re im)) 1))

Outputs
(pow.f64 im 1/3)
(cbrt.f64 im)
(+.f64 (pow.f64 im 1/3) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))))
(+.f64 (cbrt.f64 im) (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re))))
(+.f64 (cbrt.f64 im) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 1/6 (*.f64 re re))))
(+.f64 (pow.f64 im 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2)))))
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)))))
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 1/6 (.f64 re re)))))
(+.f64 (pow.f64 im 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))) (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 im 17)) 1/3) (pow.f64 re 6))))))
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)) (.f64 (*.f64 55/1296 (cbrt.f64 (/.f64 1 (pow.f64 im 17)))) (pow.f64 re 6)))))
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 17))) (*.f64 (pow.f64 re 6) 55/1296)))))
(pow.f64 re 1/3)
(cbrt.f64 re)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (.f64 im im)) (cbrt.f64 re))
(fma.f64 1/6 (.f64 im (.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re))
(+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)))
(fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (*.f64 im im)) (cbrt.f64 re)))
(fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (.f64 im (*.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re)))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 17)) 1/3) (pow.f64 im 6))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))))
(fma.f64 55/1296 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 17))) (pow.f64 im 6)) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (.f64 im im)) (cbrt.f64 re))))
(fma.f64 55/1296 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 17))) (pow.f64 im 6)) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (.f64 im (.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re))))
(/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))
(/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(fma.f64 1/6 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))
(fma.f64 1/6 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))
(+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))
(fma.f64 1/24 (/.f64 (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))
(fma.f64 1/24 (/.f64 (.f64 (/.f64 1 (pow.f64 im 4)) -2) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))
(+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6)))) (.f64 95/3 (/.f64 1 (pow.f64 im 6)))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))
(fma.f64 1/24 (/.f64 (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (fma.f64 25/3 (/.f64 1 (pow.f64 im 6)) (/.f64 95/3 (pow.f64 im 6))) (/.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/6 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))
(fma.f64 1/24 (/.f64 (.f64 (/.f64 1 (pow.f64 im 4)) -2) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 im 6)) 40) (log.f64 base)) (pow.f64 re 6)) (fma.f64 1/6 (.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))
(/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))
(/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base)))
(fma.f64 1/6 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)))
(fma.f64 1/6 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))))
(fma.f64 1/6 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 base))) (fma.f64 1/24 (/.f64 (fma.f64 -1/3 (/.f64 1 (pow.f64 re 4)) (neg.f64 (/.f64 5/3 (pow.f64 re 4)))) (/.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))))
(fma.f64 1/6 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (fma.f64 1/24 (.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (+.f64 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base)) (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 re 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 6))))) (pow.f64 im 6)) (log.f64 base))))))
(fma.f64 1/6 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 base))) (+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -1/3 (/.f64 1 (pow.f64 re 4)) (neg.f64 (/.f64 5/3 (pow.f64 re 4)))) (/.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))) (.f64 1/720 (/.f64 (+.f64 (/.f64 95/3 (pow.f64 re 6)) (*.f64 25/3 (/.f64 1 (pow.f64 re 6)))) (/.f64 (log.f64 base) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/6 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (fma.f64 1/24 (.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)))) (.f64 1/720 (.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 6)) 40) (log.f64 base)) (pow.f64 im 6))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (.f64 -1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (.f64 -1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (.f64 -1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (.f64 -1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1/6 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base))
(/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (.f64 1/3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))))
(+.f64 (.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2/3)
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1) (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1/3) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1/3))
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2/3)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) 1)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 1 (log.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) 1/3)
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(.f64 (sqrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im))))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(.f64 (.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im))))) (neg.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im))))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(.f64 -1 (.f64 -1/3 (log.f64 (hypot.f64 re im))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(.f64 (neg.f64 (sqrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im)))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (.f64 -1/3 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im)))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) 1/3)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(neg.f64 (*.f64 -1/3 (log.f64 (hypot.f64 re im))))
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(*.f64 1/3 (log.f64 (hypot.f64 re im)))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 2))
(fabs.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(log1p.f64 (-.f64 (cbrt.f64 (hypot.f64 re im)) 1))
(log1p.f64 (+.f64 (cbrt.f64 (hypot.f64 re im)) -1))
(log1p.f64 (+.f64 -1 (cbrt.f64 (hypot.f64 re im))))

localize40.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series88.0ms (0.7%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	base	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
8.0ms	re	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
7.0ms	re	@	inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
7.0ms	re	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1482×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	177	15
2	2249	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-+r+`
812×	`associate-+l+`
732×	`*-commutative`
570×	`associate-*r/`
424×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1084
1	250	976
2	859	976
3	3754	976

Stop Event

1×	node limit

Counts

52 → 48

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
	0.2b	(log.f64 (/.f64 -1 re))
✓	0.3b	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
1.0ms	re	@	0	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
1.0ms	base	@	-inf	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
1.0ms	base	@	0	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
1.0ms	base	@	inf	(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-/r*`
1154×	`associate-*r/`
1020×	`*-commutative`
912×	`associate-/l*`
768×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	264	42
2	3316	38

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))

Outputs

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1064×	`unswap-sqr`
990×	`*-commutative`
938×	`associate-/r/`
826×	`distribute-lft-in`
722×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	6313
1	980	5501
2	3271	5483

Stop Event

1×	node limit

Counts

209 → 236

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
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(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
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(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
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(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
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(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))
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(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓	0.3b	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	0.3b	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series19.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	im	@	0	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	im	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	-inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	0	(/.f64 1 (log.f64 (hypot.f64 re im)))

rewrite145.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`*-commutative`
986×	`associate-*r/`
826×	`associate-/r*`
676×	`associate-*l/`
648×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	254	59
2	3077	59

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

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

Outputs

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

simplify229.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1592×	`associate-/l*`
1530×	`associate-/r*`
1008×	`associate-r`
872×	`*-commutative`
834×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	944	20169
1	2573	19521

Stop Event

1×	node limit

Counts

311 → 518

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(/.f64 (log.f64 base) (log.f64 re))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (/.f64 1 (pow.f64 (log.f64 base) -1)) (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(/.f64 (/.f64 (log.f64 base) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) 1) 1) (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 (/.f64 (log.f64 base) 1) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 1) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) 1) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) -1) (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))
(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 -1 (/.f64 -1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 -1 (log.f64 (hypot.f64 re im))) -1)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) 1/3)
(pow.f64 (log.f64 (hypot.f64 re im)) -1)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) -1) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (pow.f64 (log.f64 base) -1) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (.f64 (pow.f64 (log.f64 base) -1) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) -1) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 (pow.f64 (log.f64 base) -1) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(+.f64 (*.f64 0 (pow.f64 (log.f64 base) -1)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (pow.f64 (log.f64 base) -1)) (.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1)) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1))
(*.f64 -1 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 -1 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

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

localize43.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.5b	(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
✓	0.5b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series102.0ms (0.8%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
57.0ms	base	@	inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
17.0ms	base	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
15.0ms	base	@	-inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
5.0ms	im	@	inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
1.0ms	re	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
708×	`unswap-sqr`
552×	`swap-sqr`
448×	`sqr-pow`
426×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	233	44
2	2696	44

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 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(log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) (pow.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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simplify237.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

724×	`*-commutative`
662×	`associate-r`
646×	`fma-def`
618×	`associate-/l*`
540×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	686	14744
1	1951	14744

Stop Event

1×	node limit

Counts

228 → 242

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))) (+.f64 (.f64 -360 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 30 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4)))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 720 (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4)))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 720 (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4))))))
(/.f64 (log.f64 re) (log.f64 base))
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(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3)) (+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (-.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)
(*.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1)
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) (pow.f64 1 (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))))) (.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 1/24 (.f64 (pow.f64 re 4) (fma.f64 24 (-.f64 (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (.f64 (log.f64 base) (pow.f64 im 4)))) (neg.f64 (/.f64 3 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))) (+.f64 (.f64 -360 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 30 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 1/24 (.f64 (pow.f64 re 4) (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))))
(fma.f64 1/720 (.f64 (fma.f64 720 (+.f64 (/.f64 1/6 (.f64 (log.f64 base) (pow.f64 im 6))) (-.f64 (/.f64 1/48 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (fma.f64 -360 (/.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 (log.f64 base) (.f64 im im))) (/.f64 30 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6)) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (.f64 1/24 (.f64 (pow.f64 re 4) (fma.f64 24 (-.f64 (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (.f64 (log.f64 base) (pow.f64 im 4)))) (neg.f64 (/.f64 3 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 24 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4)))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -360 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 720 (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 24 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4))))))
(fma.f64 1/720 (/.f64 (fma.f64 -360 (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (log.f64 base) (.f64 im im))) (fma.f64 720 (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 24 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
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(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) (.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))

eval1.0s (7.9%)

Compiler: Compiled 39513 to 19722 computations (50.1% saved)

prune1.0s (7.8%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1596	16	1612
Fresh	9	6	15
Picked	1	0	1
Done	5	4	9
Total	1611	26	1637

Error

Counts

1637 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (/.f64 3 (log.f64 base)) (/.f64 3 (log.f64 (hypot.f64 re im))))
	30.0b	(/.f64 (.f64 1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
	29.6b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	29.6b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
	29.7b	(/.f64 1 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) -1))
	44.9b	(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))) 2))
	29.7b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
	32.0b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	29.7b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (neg.f64 re))) (log.f64 base)))
	32.0b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	0.5b	(*.f64 (/.f64 (/.f64 3 (log.f64 base)) 3) (log.f64 (hypot.f64 re im)))
	30.0b	(.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3)
	32.0b	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	32.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	29.7b	(*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (/.f64 -1 re)))
	0.5b	(.f64 (/.f64 -3 (log.f64 base)) (.f64 -1/3 (log.f64 (hypot.f64 re im))))
	0.5b	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 3 (.f64 3 (log.f64 base))))
	31.9b	(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
	30.0b	(.f64 3 (/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	0.5b	(.f64 3 (.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/3 (log.f64 base))))
	0.9b	(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))
	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	32.0b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 327 to 257 computations (21.4% saved)

regimes183.0ms (1.4%)

Counts

67 → 1

Calls

Call 1

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

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

Calls

5 calls:

50.0ms	base
36.0ms	re
30.0ms	(log.f64 base)
28.0ms	im
20.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
0.3b	1	`re`
0.3b	1	`im`
0.3b	1	`base`
0.3b	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0.3b	1	`(log.f64 base)`

Compiler

Compiled 770 to 332 computations (56.9% saved)

regimes428.0ms (3.3%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (neg.f64 re))) (log.f64 base)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(/.f64 (.f64 1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(.f64 3 (/.f64 1/6 (/.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(.f64 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 3)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (.f64 1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

297.0ms	(log.f64 base)
80.0ms	base
24.0ms	im
22.0ms	re

Results

Error	Segments	Branch
5.3b	3	`re`
7.4b	3	`im`
19.6b	10	`base`
19.6b	10	`(log.f64 base)`

Compiler

Compiled 158 to 84 computations (46.8% saved)

bsearch60.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	-1.4335086717718989e-156	-1.5503345819535105e-157
40.0ms	-4.896283419581925e+74	-7.315209399582012e+71

Results

57.0ms

224×

body

256

valid

Compiler

Compiled 409 to 299 computations (26.9% saved)

regimes172.0ms (1.3%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	base
64.0ms	(log.f64 base)
18.0ms	im
17.0ms	re

Results

Error	Segments	Branch
8.0b	2	`re`
9.8b	2	`im`
20.1b	10	`base`
20.1b	10	`(log.f64 base)`

Compiler

Compiled 108 to 63 computations (41.7% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-6.295517796436597e-129	-3.688365189581399e-131

Results

22.0ms

112×

body

256

valid

Compiler

Compiled 184 to 144 computations (21.7% saved)

regimes110.0ms (0.9%)

Accuracy

Total -52.7b remaining (-657.8%)

Threshold costs -52.7b (-657.8%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(log.f64 base)
42.0ms	base
13.0ms	im
9.0ms	re

Results

Error	Segments	Branch
8.0b	2	`re`
9.8b	2	`im`
20.1b	10	`base`
20.1b	10	`(log.f64 base)`

Compiler

Compiled 53 to 31 computations (41.5% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-6.295517796436597e-129	-3.688365189581399e-131

Results

22.0ms

112×

body

256

valid

Compiler

Compiled 170 to 130 computations (23.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	219
1	51	219
2	57	219
3	61	219
4	62	219

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -1200000000000000050257830677053749550789720639968405939772113254168395776) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -5255771031303471/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 (.f64 1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -3590010832863391/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -1170655706368497/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -1200000000000000050257830677053749550789720639968405939772113254168395776) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -5255771031303471/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 (.f64 1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -3590010832863391/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -1170655706368497/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 91 to 61 computations (33% saved)

soundness203.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1656×	`distribute-lft-in`
1496×	`distribute-rgt-in`
1148×	`associate-/r/`
1042×	`sqr-pow`
1034×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	34	41
2	42	41
3	53	27
4	72	21
5	81	21
6	206	21
7	1264	21
8	2014	21
9	3312	21
10	4203	21
11	4695	21
12	5647	21
13	7659	21

Stop Event

1×	node limit

Compiler

Compiled 166 to 44 computations (73.5% saved)

end77.0ms (0.6%)

Remove: (sort re im)
Compiler: Compiled 99 to 50 computations (49.5% saved)