Details

analyze277.0ms (2.4%)

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 (18.8%)

Results

1.7s	8256×	body	256	valid
443.0ms	2044×	body	256	invalid

Bogosity

preprocess75.0ms (0.7%)

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)

simplify105.0ms (0.9%)

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)))
▶	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize110.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series92.0ms (0.8%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
69.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	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))

rewrite63.0ms (0.6%)

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))))))))

simplify110.0ms (1%)

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))

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.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))
✓	0.5b	(*.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	@	0	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
0.0ms	re	@	inf	(*.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	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
0.0ms	im	@	0	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite76.0ms (0.7%)

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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simplify156.0ms (1.4%)

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))

eval180.0ms (1.6%)

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

prune130.0ms (1.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	479	22	501
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	480	23	503

Error

Counts

503 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	0.5b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	32.3b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	1.3b	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
	28.3b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	0.6b	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (*.f64 3 (log.f64 (cbrt.f64 base)))))
	33.1b	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (exp.f64 (.f64 (log.f64 (log.f64 base)) 2)))
▶	33.9b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
	28.2b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
	0.5b	(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	33.9b	(/.f64 (log.f64 im) (log.f64 base))
	28.8b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	15.4b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
▶	0.5b	(.f64 (pow.f64 (log.f64 base) -2) (.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))
	1.1b	(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))))
	15.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.7b	(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 640 to 457 computations (28.6% saved)

localize31.0ms (0.3%)

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)

series3.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite70.0ms (0.6%)

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	32
1	228	32
2	2629	32

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/l/`
1010×	`*-commutative`
934×	`associate-/r/`
734×	`unswap-sqr`
488×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	6524
1	918	5286
2	3263	5210

Stop Event

1×	node limit

Counts

148 → 234

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

series89.0ms (0.8%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
31.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
8.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite56.0ms (0.5%)

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))))))))

simplify51.0ms (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 (log.f64 base) (log.f64 im))
✓	0.3b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(*.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	@	-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))
0.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 im))

rewrite108.0ms (0.9%)

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

Outputs

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

((#(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 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(#(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))))))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-/r/`
998×	`*-commutative`
578×	`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	2912	3531

Stop Event

1×	node limit

Counts

167 → 169

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 (.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 (.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))))
(+.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))

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	0.5b	(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 41 to 11 computations (73.2% saved)

series46.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	re	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	re	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`*-commutative`
770×	`unswap-sqr`
682×	`associate-*r/`
640×	`associate-/r*`
604×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	262	46
2	2919	46

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

simplify224.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/l*`
1440×	`associate-/r*`
1026×	`associate-*r/`
772×	`*-commutative`
712×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1179	30124
1	3694	29710

Stop Event

1×	node limit

Counts

290 → 437

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	0.4b	(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	0.5b	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 39 to 13 computations (66.7% saved)

series6.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`*-commutative`
1046×	`unswap-sqr`
678×	`swap-sqr`
476×	`sqr-pow`
456×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	257	59
2	3016	53

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs

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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))))))))

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1742×	`distribute-lft-in`
1736×	`associate-/r*`
1692×	`associate-/l*`
610×	`+-commutative`
592×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	446	9025
1	1272	7421
2	4200	7399

Stop Event

1×	node limit

Counts

187 → 339

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

eval939.0ms (8.2%)

Compiler: Compiled 43930 to 21997 computations (49.9% saved)

prune494.0ms (4.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1377	16	1393
Fresh	10	7	17
Picked	1	0	1
Done	2	3	5
Total	1390	26	1416

Error

Counts

1416 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	33.9b	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	1.4b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3)
▶	49.5b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	28.8b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
	34.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
▶	28.3b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
▶	33.9b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	28.2b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 im) (log.f64 base))
▶	0.5b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	34.0b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	28.8b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	1.4b	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
	28.3b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))))
	33.9b	(.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)))
▶	33.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	32.0b	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 (hypot.f64 re im)))
	1.1b	(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))))
	34.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	15.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 630 to 484 computations (23.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.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)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`*-commutative`
1014×	`associate-/r*`
898×	`associate-*r/`
644×	`associate-*l/`
608×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	235	42
2	2836	42

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-/r*`
714×	`+-commutative`
706×	`associate-/l*`
700×	`times-frac`
622×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	12257
1	1669	9799
2	7136	9799

Stop Event

1×	node limit

Counts

203 → 302

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 (neg.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (neg.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (neg.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 (hypot.f64 re im))) (cbrt.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 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (neg.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)))))
(*.f64 (neg.f64 (neg.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)))))
(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 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))))
(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))
(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 (*.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 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.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 (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 (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 (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))) (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 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 (hypot.f64 re 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 (hypot.f64 re 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 (hypot.f64 re 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 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (hypot.f64 re 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) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re 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) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re 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) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re 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) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re 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)))
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(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 (/.f64 1 (log.f64 base)) (log.f64 im))
	0.3b	(/.f64 1 (log.f64 base))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (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	15
1	188	15
2	2180	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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))))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-/l/`
850×	`distribute-lft-in`
796×	`distribute-rgt-in`
666×	`*-commutative`
578×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	705
1	169	705
2	443	705
3	2551	705

Stop Event

1×	node limit

Counts

47 → 27

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 (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))))

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) (log.f64 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) (+.f64 (log.f64 -1) (*.f64 -1 (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) (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 -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 (log.f64 im) (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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (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 (log.f64 im) (log.f64 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))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series21.0ms (0.2%)

Counts

4 → 12

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	base	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	im	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	base	@	inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	im	@	-inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`associate-/r*`
946×	`*-commutative`
876×	`associate-/l*`
772×	`associate-*r/`
636×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	214	34
2	2652	34

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-/l/`
842×	`associate-/r/`
778×	`associate-+r+`
720×	`associate-+l+`
600×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	4477
1	812	2915
2	3780	2915

Stop Event

1×	node limit

Counts

183 → 205

Calls

Call 1

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

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

localize16.0ms (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	@	-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)
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)

rewrite63.0ms (0.5%)

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 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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)))))))))

simplify58.0ms (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)))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.3b	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 45 to 21 computations (53.3% saved)

series55.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	re	@	-inf	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
14.0ms	re	@	0	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
12.0ms	base	@	0	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
7.0ms	re	@	inf	(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
1.0ms	base	@	-inf	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`swap-sqr`
522×	`associate-/r/`
512×	`distribute-rgt-in`
482×	`distribute-lft-in`
456×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	272	42
2	3860	42

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

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

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

974×	`associate-/r/`
632×	`associate-+r+`
614×	`*-commutative`
592×	`distribute-lft-neg-in`
550×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	8272
1	1290	7632
2	4506	7620

Stop Event

1×	node limit

Counts

244 → 269

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

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

eval413.0ms (3.6%)

Compiler: Compiled 20180 to 10296 computations (49% saved)

prune282.0ms (2.5%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1027	14	1041
Fresh	9	9	18
Picked	1	0	1
Done	4	3	7
Total	1041	26	1067

Error

Counts

1067 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
	34.2b	(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 3) (log.f64 base))
▶	0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	33.9b	(/.f64 (.f64 (.f64 (log.f64 im) 1/3) 3) (log.f64 base))
	33.9b	(/.f64 (*.f64 (log.f64 (pow.f64 im 1/3)) 3) (log.f64 base))
▶	0.5b	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
	28.3b	(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	28.2b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 im) (log.f64 base))
▶	28.3b	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
	33.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	0.5b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	0.7b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	34.0b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	28.8b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	28.3b	(+.f64 0 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
	33.9b	(*.f64 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)) 3)
	28.3b	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (/.f64 -1 re))))
✓	33.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	28.3b	(*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (/.f64 -1 re)))
	28.3b	(.f64 (log.f64 base) (neg.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (/.f64 -1 re)))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	34.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	15.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 636 to 489 computations (23.1% saved)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (hypot.f64 re im)))
✓	0.3b	(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)
✓	0.4b	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
✓	0.6b	(cbrt.f64 (hypot.f64 re im))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series78.0ms (0.7%)

Counts

4 → 44

Calls

27 calls:

Time	Variable		Point	Expression
39.0ms	re	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
21.0ms	base	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
4.0ms	re	@	0	(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)
1.0ms	im	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
1.0ms	im	@	inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`*-commutative`
958×	`associate-/r*`
876×	`associate-/l*`
788×	`associate-*r/`
686×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	254	58
2	3100	58

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 re im) 1/6) (pow.f64 (hypot.f64 re im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 re im))))))))
((#(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 (log.f64 (cbrt.f64 (hypot.f64 re im))) (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 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(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))) (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 (.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 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (/.f64 (log.f64 (cbrt.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 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 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)) 3)))) (#(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 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 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simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/l/`
768×	`associate-/r/`
766×	`associate-+r+`
664×	`associate-r`
644×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	7070
1	1206	6188
2	4917	6188

Stop Event

1×	node limit

Counts

204 → 294

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))
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(neg.f64 (*.f64 1 (/.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))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (log.f64 (hypot.f64 re im)) 0)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 0 (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 0) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 3) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 3))
(+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3) (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) 1)
(-.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) 1)
(pow.f64 (log.f64 (hypot.f64 re im)) 1)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1/3)
(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 re im) 1)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) 1))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(+.f64 0 (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (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 (.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 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(+.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 (.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.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 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1) (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1))
(+.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 (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1)
(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) 1/3)
(*.f64 1 (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)))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (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) (cbrt.f64 (log.f64 (cbrt.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)))
(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)
(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))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)) (cbrt.f64 im))
(+.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 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)) (cbrt.f64 im)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (.f64 (pow.f64 re 4) -5/72)))
(+.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 55/1296 (*.f64 (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 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)))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (.f64 1 (log.f64 im)) (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)))))
(fma.f64 1/8 (/.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 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base))))
(fma.f64 1/8 (/.f64 (.f64 (/.f64 1 (pow.f64 im 4)) -2) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))))
(fma.f64 1/8 (.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (.f64 (/.f64 1 (pow.f64 im 4)) -2)) (fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (.f64 1 (log.f64 im)) (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))))))
(fma.f64 1/8 (/.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 1/240 (/.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 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base)))))
(fma.f64 1/8 (/.f64 (.f64 (/.f64 1 (pow.f64 im 4)) -2) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/240 (/.f64 (.f64 (/.f64 1 (pow.f64 im 6)) 40) (/.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (.f64 1 (log.f64 im)) (log.f64 base)))))
(fma.f64 1/8 (.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (.f64 (/.f64 1 (pow.f64 im 4)) -2)) (fma.f64 1/240 (.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (.f64 (/.f64 1 (pow.f64 im 6)) 40)) (fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (.f64 1 (log.f64 im)) (log.f64 base)))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)))
(/.f64 (*.f64 1 (log.f64 re)) (log.f64 base))
(+.f64 (.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (*.f64 re re))))
(fma.f64 1/2 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 3 (/.f64 (log.f64 (pow.f64 re 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 re 4)))) (.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)) (fma.f64 1/8 (/.f64 (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 re 4))) (/.f64 5/3 (pow.f64 re 4))) (/.f64 (log.f64 base) (pow.f64 im 4))) (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (.f64 re re)))))
(+.f64 (/.f64 (.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/8 (/.f64 (.f64 (/.f64 1 (pow.f64 re 4)) -2) (/.f64 (log.f64 base) (pow.f64 im 4))) (.f64 (/.f64 1/2 (.f64 re re)) (/.f64 im (/.f64 (log.f64 base) im)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (.f64 (log.f64 base) 1/3)) (cbrt.f64 (log.f64 (cbrt.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))
(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))
(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))
(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))
(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))
(neg.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (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))
(neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -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))
(neg.f64 (*.f64 1 (/.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 (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 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))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (log.f64 (hypot.f64 re im)) 0)
(log.f64 (hypot.f64 re im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 0 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 0) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))
(log.f64 (hypot.f64 re im))
(+.f64 (.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(log.f64 (hypot.f64 re im))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 3) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 3))
(log.f64 (hypot.f64 re im))
(+.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3) (.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3))
(log.f64 (hypot.f64 re im))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.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) (.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) 1)
(log.f64 (hypot.f64 re im))
(-.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1)
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) 1)
(log.f64 (hypot.f64 re im))
(pow.f64 (log.f64 (hypot.f64 re im)) 1)
(log.f64 (hypot.f64 re im))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 2)
(log.f64 (hypot.f64 re im))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 3)
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1/3)
(log.f64 (hypot.f64 re im))
(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 re im) 1)))
(log1p.f64 (+.f64 (hypot.f64 re im) -1))
(log.f64 (+.f64 (hypot.f64 re im) 0))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log1p.f64 (-.f64 (hypot.f64 re im) 1))
(log1p.f64 (+.f64 (hypot.f64 re im) -1))
(log.f64 (+.f64 (hypot.f64 re im) 0))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 0)
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(+.f64 0 (log.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (cbrt.f64 (hypot.f64 re im)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.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)))
(log.f64 (cbrt.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))))))
(log.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))))
(log.f64 (cbrt.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 (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))
(log.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))
(log.f64 (cbrt.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 (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 (log.f64 (hypot.f64 re im)) 1/3)
(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 (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 1/3 (log.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)))
(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)))
(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))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 7 computations (61.1% saved)

series38.0ms (0.3%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	base	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
10.0ms	re	@	inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
7.0ms	re	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
7.0ms	re	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite51.0ms (0.4%)

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))))))))

simplify59.0ms (0.5%)

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))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite76.0ms (0.7%)

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

simplify94.0ms (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))))
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(*.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))))
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(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 -1 re)) -1) (-.f64 0 (pow.f64 (log.f64 base) 2))) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 -1 re)) -1) (-.f64 0 (pow.f64 (log.f64 base) 3))) (+.f64 (pow.f64 (log.f64 base) 2) 0))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (/.f64 -1 re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (neg.f64 re))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 (/.f64 -1 re))) (log.f64 (log.f64 base))))
(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))))
(/.f64 (neg.f64 (log.f64 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))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (/.f64 -1 re))))
(/.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))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (/.f64 -1 re))))
(/.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))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (/.f64 -1 re))))
(/.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))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (-.f64 (log.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)))))
(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) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 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) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 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) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 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) (+.f64 (log.f64 -1) (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) (+.f64 (log.f64 -1) (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) (+.f64 (log.f64 -1) (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) (+.f64 (log.f64 -1) (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 -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 (/.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 -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 -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 -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)) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (-.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 (neg.f64 (log.f64 (/.f64 -1 re))) (-.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 (neg.f64 (log.f64 (/.f64 -1 re))) (-.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 (neg.f64 (log.f64 (/.f64 -1 re))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 re))) (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 (neg.f64 (log.f64 (/.f64 -1 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 -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 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(*.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 0 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))))) 1)
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re))))
(+.f64 (-.f64 0 (/.f64 0 (log.f64 (/.f64 -1 re)))) (/.f64 (log.f64 base) (log.f64 (neg.f64 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 (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 (neg.f64 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re))))
(+.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 (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 (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 2 (.f64 (/.f64 -1 (log.f64 (neg.f64 re))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (neg.f64 (log.f64 (sqrt.f64 base))) (log.f64 (neg.f64 re))) 2)
(/.f64 (*.f64 2 (neg.f64 (log.f64 (sqrt.f64 base)))) (log.f64 (neg.f64 re)))
(+.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 (/.f64 -1 (log.f64 (neg.f64 re))) (+.f64 (.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base))))
(.f64 (/.f64 -1 (log.f64 (neg.f64 re))) (.f64 3 (log.f64 (cbrt.f64 base))))
(*.f64 3 (/.f64 (neg.f64 (log.f64 (cbrt.f64 base))) (log.f64 (neg.f64 re))))
(-.f64 0 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))) 1)
(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 (/.f64 0 (log.f64 (/.f64 -1 re))) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re))))
(*.f64 (log.f64 base) (/.f64 -1 (log.f64 (neg.f64 re))))
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(*.f64 (log.f64 base) (neg.f64 (/.f64 -1 (log.f64 (neg.f64 re)))))
(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(*.f64 (log.f64 base) (/.f64 1 (log.f64 (neg.f64 re))))
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(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
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(/.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re))))
(*.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (neg.f64 re)))
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(*.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)
(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(*.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.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)))))
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)
(+.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(+.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(+.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(fabs.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (exp.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))
(log.f64 (+.f64 1 (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(+.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(expm1.f64 (log1p.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))
(exp.f64 (log.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))
(exp.f64 (-.f64 (log.f64 (log.f64 (/.f64 -1 re))) (log.f64 (log.f64 base))))
(-.f64 (/.f64 (log.f64 -1) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
(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
	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))

Compiler

Compiled 37 to 16 computations (56.8% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`associate-*r/`
1118×	`*-commutative`
988×	`associate-/r*`
794×	`associate-*l/`
780×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	261	38
2	3271	38

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

894×	`distribute-lft-in`
890×	`distribute-rgt-in`
654×	`+-commutative`
590×	`associate-/r*`
560×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	8851
1	1307	7837
2	5255	7799

Stop Event

1×	node limit

Counts

139 → 268

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

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

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

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

✓

0.4b

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

✓

0.5b

(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)

Compiler

Compiled 49 to 34 computations (30.6% saved)

series17.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
3.0ms	re	@	0	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
3.0ms	base	@	0	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
2.0ms	base	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
2.0ms	base	@	inf	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)

rewrite221.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-/r*`
1050×	`associate-*r/`
980×	`*-commutative`
780×	`associate-/l*`
632×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	293	61
2	3429	49

Stop Event

1×	node limit

Counts

3 → 378

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)

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

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

Outputs

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

simplify177.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1786×	`distribute-lft-in`
892×	`associate-/l*`
532×	`*-commutative`
514×	`associate-/l/`
512×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	658	13720
1	1664	12862
2	5813	12838

Stop Event

1×	node limit

Counts

450 → 427

Calls

Call 1

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

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

eval504.0ms (4.4%)

Compiler: Compiled 25761 to 13069 computations (49.3% saved)

prune637.0ms (5.5%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1298	16	1314
Fresh	7	11	18
Picked	1	0	1
Done	3	4	7
Total	1309	31	1340

Error

Counts

1340 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 3) (log.f64 base))
	33.9b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	28.3b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
	0.5b	(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) 1/3) 3) (log.f64 base))
	33.9b	(/.f64 (.f64 (.f64 (log.f64 im) 1/3) 3) (log.f64 base))
	0.5b	(/.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/3)) 3) (log.f64 base))
	33.9b	(/.f64 (*.f64 (log.f64 (pow.f64 im 1/3)) 3) (log.f64 base))
	28.3b	(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	28.2b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 im) (log.f64 base))
	19.6b	(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
	45.8b	(/.f64 1 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 1/3))
	28.3b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
	33.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	28.3b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (neg.f64 re))) (log.f64 base)))
	34.0b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	28.8b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	33.9b	(*.f64 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)) 3)
	0.5b	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))
✓	33.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	28.3b	(.f64 (/.f64 -1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 -1 re)))))
	28.3b	(*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (/.f64 -1 re)))
	29.7b	(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
	28.3b	(*.f64 3 (neg.f64 (/.f64 (log.f64 (cbrt.f64 (/.f64 -1 re))) (log.f64 base))))
	28.7b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	34.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	28.4b	(log.f64 (exp.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	36.8b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	28.4b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))

Compiler

Compiled 387 to 305 computations (21.2% saved)

regimes166.0ms (1.4%)

Counts

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

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

Calls

5 calls:

40.0ms	(log.f64 base)
31.0ms	re
31.0ms	im
29.0ms	base
18.0ms	(/.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
0.4b	1	`re`
0.4b	1	`im`
0.4b	1	`base`
0.4b	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)))`
0.4b	1	`(log.f64 base)`

Compiler

Compiled 801 to 368 computations (54.1% saved)

regimes389.0ms (3.4%)

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 (.f64 (.f64 (log.f64 im) 1/3) 3) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.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 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

151.0ms	(log.f64 base)
141.0ms	base
48.0ms	im
45.0ms	re

Results

Error	Segments	Branch
4.9b	3	`re`
5.8b	3	`im`
18.8b	13	`base`
18.8b	13	`(log.f64 base)`

Compiler

Compiled 150 to 89 computations (40.7% saved)

bsearch91.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	-5.720424762042675e-161	-1.718567256830399e-163
33.0ms	-1.0593134852955236e+49	-2.1768391813460707e+46

Results

87.0ms

256×

body

256

valid

Compiler

Compiled 493 to 369 computations (25.2% saved)

regimes240.0ms (2.1%)

Accuracy

Total -53.7b remaining (-710.5%)

Threshold costs -53.7b (-710.5%)

Counts

13 → 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 (.f64 (.f64 (log.f64 im) 1/3) 3) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.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 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))

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

Calls

4 calls:

103.0ms	base
66.0ms	(log.f64 base)
47.0ms	im
20.0ms	re

Results

Error	Segments	Branch
7.6b	2	`re`
8.4b	2	`im`
20.0b	10	`base`
20.0b	10	`(log.f64 base)`

Compiler

Compiled 128 to 76 computations (40.6% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	-5.720424762042675e-161	-1.718567256830399e-163

Results

24.0ms

128×

body

256

valid

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	176
1	43	176
2	45	176
3	46	176

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -490000000000000029597426933548004873349583863808) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -5571859284386099/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -3419095469964197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.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 -490000000000000029597426933548004873349583863808) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -5571859284386099/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -3419095469964197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (/.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 73 to 49 computations (32.9% saved)

soundness201.0ms (1.7%)

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)

end31.0ms (0.3%)

Remove: (sort re im)
Compiler: Compiled 84 to 44 computations (47.6% saved)