Details

analyze348.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
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)

sample2.4s (20.8%)

Results

1.9s	8256×	body	256	valid
412.0ms	2163×	body	256	invalid

Bogosity

preprocess98.0ms (0.9%)

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)

simplify80.0ms (0.7%)

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

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

0.2b

Counts

7 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series70.0ms (0.6%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
16.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
1.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
1.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite57.0ms (0.5%)

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))))))))

simplify79.0ms (0.7%)

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))

localize13.0ms (0.1%)

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

rewrite78.0ms (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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simplify121.0ms (1.1%)

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))

eval156.0ms (1.4%)

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

prune96.0ms (0.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	480	21	501
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	481	22	503

Error

Counts

503 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	0.4b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	31.8b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	0.5b	(/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 base) (log.f64 base)))
	0.5b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	29.9b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
▶	31.9b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
	29.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	31.9b	(/.f64 (log.f64 im) (log.f64 base))
	37.0b	(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))))
▶	0.5b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	0.5b	(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (log.f64 base))
▶	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))
	1.6b	(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))))
	13.9b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	31.7b	(exp.f64 (log.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))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 604 to 425 computations (29.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite71.0ms (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))))))))

simplify119.0ms (1%)

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)

series71.0ms (0.6%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
10.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
9.0ms	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))

rewrite54.0ms (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))))))))

simplify60.0ms (0.5%)

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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.3b	(*.f64 (log.f64 base) (log.f64 im))
	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	base	@	0	(*.f64 (log.f64 base) (log.f64 im))
0.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 im))
0.0ms	im	@	inf	(*.f64 (log.f64 base) (log.f64 im))

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 169

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓	0.7b	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)

Compiler

Compiled 42 to 13 computations (69% saved)

series96.0ms (0.8%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
84.0ms	re	@	inf	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms	re	@	0	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)

rewrite207.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`*-commutative`
910×	`associate-*r/`
840×	`unswap-sqr`
694×	`associate-/r*`
612×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	264	48
2	2992	48

Stop Event

1×	node limit

Counts

2 → 330

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (pow.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) (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3/2) (pow.f64 (/.f64 1 (log.f64 base)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify325.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-l`
1212×	`associate-*r/`
1046×	`associate-/l/`
982×	`associate-*l/`
946×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1152	27918
1	3409	27584

Stop Event

1×	node limit

Counts

402 → 605

Calls

Call 1

Inputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
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(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 im) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (log.f64 im) (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
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(/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3))
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(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)))
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(/.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 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (neg.f64 (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 (*.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 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (/.f64 (neg.f64 (log.f64 base)) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (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)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (neg.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (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 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) 1)) (log.f64 base))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (neg.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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 1 1/3) (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) 1)) (log.f64 base))
(/.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 1 1/3) -1) (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (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 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 1 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3)) (cbrt.f64 (neg.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 1 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) 1)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(pow.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)
(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 (/.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))))
(neg.f64 (/.f64 (neg.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))
(neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 base))))
(neg.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))))
(neg.f64 (*.f64 (pow.f64 1 1/3) (/.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)))))
(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 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (.f64 (.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 (log.f64 base) 3) (.f64 im im)))) (*.f64 re re)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (.f64 (/.f64 (.f64 3/2 (pow.f64 (log.f64 im) 2)) (.f64 im (.f64 im (pow.f64 (log.f64 base) 3)))) (*.f64 re re)))
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(/.f64 (log.f64 (hypot.f64 re im)) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))
(/.f64 (log.f64 (hypot.f64 re im)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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)
(cbrt.f64 (pow.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (/.f64 -1 (log.f64 base))))
(/.f64 (neg.f64 (neg.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (/.f64 -1 (log.f64 base))))
(/.f64 (neg.f64 (neg.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(neg.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))))
(/.f64 (neg.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))))
(+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)
(/.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
✓	0.4b	(.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)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite113.0ms (1%)

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

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

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

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

simplify147.0ms (1.3%)

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

eval996.0ms (8.7%)

Compiler: Compiled 39562 to 17644 computations (55.4% saved)

prune450.0ms (3.9%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1539	22	1561
Fresh	12	4	16
Picked	1	0	1
Done	2	3	5
Total	1554	29	1583

Error

Counts

1583 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	31.9b	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
▶	48.1b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	48.8b	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	29.9b	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	0.4b	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
	31.9b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	31.9b	(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2))
	30.8b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))))
	29.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
▶	0.4b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	37.0b	(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base))))
▶	29.9b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))))
	40.2b	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im)))
	31.9b	(.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)))
▶	31.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	0.3b	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
	31.9b	(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	0.8b	(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (hypot.f64 re im)))
	32.7b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	48.0b	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	30.0b	(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))

Compiler

Compiled 710 to 530 computations (25.4% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 base))
✓	0.2b	(/.f64 -1 (log.f64 (/.f64 1 base)))
✓	0.3b	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 39 to 23 computations (41% saved)

series14.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	base	@	-inf	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
1.0ms	im	@	0	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
1.0ms	re	@	0	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
1.0ms	re	@	inf	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
1.0ms	im	@	inf	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`associate-*r/`
870×	`unswap-sqr`
760×	`associate-*l/`
718×	`swap-sqr`
608×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	274	41
2	3114	41

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

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

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1232×	`times-frac`
1116×	`associate-/r*`
952×	`associate-/l*`
662×	`associate-r`
644×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	8809
1	1420	7537
2	7674	7537

Stop Event

1×	node limit

Counts

259 → 336

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

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

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

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))

rewrite53.0ms (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))))))))

simplify47.0ms (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))

localize12.0ms (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
3.0ms	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)))
1.0ms	im	@	-inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

rewrite86.0ms (0.8%)

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> 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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))))))))

simplify142.0ms (1.2%)

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

localize11.0ms (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)

series6.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	base	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
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	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)

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.6%)

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)))

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 -1 re))
✓	0.3b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))))
✓	0.3b	(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))
	0.5b	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 46 to 30 computations (34.8% saved)

series73.0ms (0.6%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	re	@	-inf	(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))
15.0ms	re	@	0	(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))
11.0ms	base	@	0	(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))
7.0ms	re	@	inf	(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))
1.0ms	base	@	-inf	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`*-commutative`
1014×	`unswap-sqr`
666×	`swap-sqr`
522×	`distribute-lft-in`
516×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	287	53
2	3467	35

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac`
776×	`associate-+l+`
718×	`associate-r`
718×	`associate-l`
634×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	7326
1	1214	6378
2	5555	6310

Stop Event

1×	node limit

Counts

272 → 366

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

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

eval453.0ms (4%)

Compiler: Compiled 26276 to 13061 computations (50.3% saved)

prune414.0ms (3.6%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1273	9	1282
Fresh	9	12	21
Picked	0	1	1
Done	3	4	7
Total	1285	26	1311

Error

Counts

1311 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
▶	0.4b	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
	31.9b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	29.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	29.8b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
	29.8b	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
▶	31.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	0.5b	(/.f64 1 (.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (.f64 3 (log.f64 (cbrt.f64 base)))))
	0.4b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	0.6b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	18.4b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
▶	37.0b	(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base))))
	48.8b	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	29.9b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))))
	31.9b	(.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)))
✓	31.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	32.1b	(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 im))
	32.7b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	48.0b	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	30.0b	(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))

Compiler

Compiled 594 to 470 computations (20.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series101.0ms (0.9%)

Counts

4 → 44

Calls

27 calls:

Time	Variable		Point	Expression
67.0ms	re	@	-inf	(log.f64 (cbrt.f64 (hypot.f64 re im)))
17.0ms	base	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
1.0ms	re	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
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))

rewrite89.0ms (0.8%)

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

simplify128.0ms (1.1%)

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))
(+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 17)) 1/3) (pow.f64 im 6))) (+.f64 (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (-.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (.f64 1/240 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 im 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6))))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (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)))))
(+.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))))))
(+.f64 (.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (+.f64 (.f64 1/240 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 re 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 6))))) (pow.f64 im 6)) (log.f64 base))) (+.f64 (.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)))))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 3 (log.f64 (pow.f64 im 1/3)))
(+.f64 (.f64 3 (log.f64 (pow.f64 im 1/3))) (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))))
(+.f64 (.f64 3 (log.f64 (pow.f64 im 1/3))) (+.f64 (.f64 1/8 (.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))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (.f64 3 (log.f64 (pow.f64 im 1/3))) (+.f64 (.f64 1/8 (.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))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 1/240 (.f64 (+.f64 (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6)))) (.f64 95/3 (/.f64 1 (pow.f64 im 6)))) (pow.f64 re 6))))))
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(+.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)))))
(+.f64 (/.f64 (.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (/.f64 1 (pow.f64 re 4)) -2)) (.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 im (/.f64 (log.f64 base) im)))))
(+.f64 (.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (+.f64 (.f64 1/240 (/.f64 (.f64 (+.f64 (.f64 95/3 (/.f64 1 (pow.f64 re 6))) (.f64 25/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 6))))) (pow.f64 im 6)) (log.f64 base))) (+.f64 (.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 1/240 (/.f64 (+.f64 (/.f64 95/3 (pow.f64 re 6)) (.f64 25/3 (/.f64 1 (pow.f64 re 6)))) (/.f64 (log.f64 base) (pow.f64 im 6))) (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 1/240 (.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 re 6)) 40) (log.f64 base)) (pow.f64 im 6)) (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))))))
(+.f64 (/.f64 (.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/240 (.f64 (/.f64 (.f64 (/.f64 1 (pow.f64 re 6)) 40) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (/.f64 1 (pow.f64 re 4)) -2)) (.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 im (/.f64 (log.f64 base) im))))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base)))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 3 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 3 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 3 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 3 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 im im (.f64 re re)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 3 (log.f64 (pow.f64 im 1/3)))
(*.f64 3 (log.f64 (cbrt.f64 im)))
(*.f64 1 (log.f64 im))
(+.f64 (.f64 3 (log.f64 (pow.f64 im 1/3))) (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))))
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(+.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))))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`add-sqr-sqrt`
1856×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	195	30
2	2389	30

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-/r*`
1122×	`associate-+r-`
918×	`unswap-sqr`
828×	`associate-/l*`
536×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	2325
1	462	1965
2	1771	1965
3	7169	1965

Stop Event

1×	node limit

Counts

111 → 92

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (log.f64 base))
✓	0.3b	(pow.f64 im (/.f64 1 (log.f64 base)))
✓	0.4b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Compiler

Compiled 25 to 14 computations (44% saved)

series118.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	base	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
31.0ms	im	@	0	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
17.0ms	im	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
12.0ms	im	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
11.0ms	base	@	0	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1588×	`add-cube-cbrt`
1570×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	193	32
2	2248	32

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/l*`
1146×	`associate-/r*`
946×	`associate-+r+`
818×	`associate-/r/`
798×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	2020
1	267	1882
2	919	1878
3	3773	1878

Stop Event

1×	node limit

Counts

94 → 71

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 re re))
✓	0.2b	(.f64 (.f64 im im) (log.f64 base))
	0.3b	(/.f64 (log.f64 im) (log.f64 base))
✓	13.7b	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))

Compiler

Compiled 63 to 19 computations (69.8% saved)

series25.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	im	@	-inf	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))
1.0ms	re	@	0	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))
1.0ms	base	@	0	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))
1.0ms	im	@	0	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))
1.0ms	base	@	-inf	(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`associate-*l/`
464×	`distribute-lft-neg-in`
432×	`distribute-rgt-neg-in`
370×	`distribute-rgt-in`
328×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	268	65
2	3762	65

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(/.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 im im) (log.f64 base)))
(.f64 (.f64 im im) (log.f64 base))
(.f64 1/2 (.f64 re re))

Outputs

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

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1026×	`times-frac`
890×	`distribute-lft-in`
882×	`distribute-rgt-in`
686×	`associate-/l*`
596×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	329	6175
1	1006	5995
2	5245	5995

Stop Event

1×	node limit

Counts

193 → 170

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 im))
✓	0.3b	(/.f64 1 (pow.f64 (log.f64 base) 3))
✓	0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
✓	0.7b	(pow.f64 (log.f64 base) 3)

Compiler

Compiled 38 to 24 computations (36.8% saved)

series3.0ms (0%)

Counts

4 → 52

Calls

15 calls:

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

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`*-commutative`
798×	`unswap-sqr`
588×	`swap-sqr`
454×	`sqr-pow`
454×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	258	48
2	2880	48

Stop Event

1×	node limit

Counts

4 → 270

Calls

Call 1

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

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

simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-r`
740×	`distribute-lft-neg-out`
724×	`distribute-rgt-neg-out`
632×	`associate-l`
602×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	569	8644
1	1381	6986
2	5481	6974

Stop Event

1×	node limit

Counts

322 → 369

Calls

Call 1

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

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

eval438.0ms (3.8%)

Compiler: Compiled 19355 to 9639 computations (50.2% saved)

prune247.0ms (2.2%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1076	8	1084
Fresh	4	12	16
Picked	1	0	1
Done	3	6	9
Total	1084	26	1110

Error

Counts

1110 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	33.0b	(/.f64 (fma.f64 1/2 (.f64 (/.f64 re im) (/.f64 re im)) (.f64 1 (log.f64 im))) (log.f64 base))
	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	32.0b	(/.f64 (*.f64 (log.f64 (pow.f64 im 1/3)) 3) (log.f64 base))
	31.9b	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	29.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	29.8b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
✓	31.9b	(/.f64 (log.f64 im) (log.f64 base))
	29.8b	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
✓	31.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	0.5b	(/.f64 1 (.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (.f64 3 (log.f64 (cbrt.f64 base)))))
	0.4b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	31.9b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	0.6b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	32.0b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	32.1b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	0.4b	(*.f64 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)) 3)
	0.4b	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))
	31.9b	(.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)))
✓	31.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	29.3b	(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
	31.9b	(*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	32.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	30.0b	(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))

Compiler

Compiled 327 to 258 computations (21.1% saved)

regimes147.0ms (1.3%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	base
28.0ms	re
27.0ms	(log.f64 base)
26.0ms	im
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
0.3b	1	`re`
0.3b	1	`im`
0.3b	1	`base`
0.3b	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0.3b	1	`(log.f64 base)`

Compiler

Compiled 730 to 315 computations (56.8% saved)

regimes170.0ms (1.5%)

Counts

10 → 3

Calls

Call 1

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

69.0ms	(log.f64 base)
65.0ms	base
16.0ms	re
16.0ms	im

Results

Error	Segments	Branch
5.8b	3	`re`
6.8b	3	`im`
19.6b	12	`base`
19.6b	12	`(log.f64 base)`

Compiler

Compiled 106 to 66 computations (37.7% saved)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	-1.6774022686250501e-161	-3.2970630216260915e-167
19.0ms	-1.692051294683562e+138	-3.2413632600046745e+137

Results

42.0ms

240×

body

256

valid

Compiler

Compiled 481 to 364 computations (24.3% saved)

regimes134.0ms (1.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	(log.f64 base)
50.0ms	base
14.0ms	re
10.0ms	im

Results

Error	Segments	Branch
8.8b	2	`re`
9.1b	2	`im`
20.8b	11	`base`
20.8b	11	`(log.f64 base)`

Compiler

Compiled 84 to 53 computations (36.9% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	-7.801481148749832e-51	-8.780961072224376e-54

Results

23.0ms

128×

body

256

valid

Compiler

Compiled 213 to 169 computations (20.7% saved)

regimes113.0ms (1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	base
44.0ms	(log.f64 base)
13.0ms	re
8.0ms	im

Results

Error	Segments	Branch
8.8b	2	`re`
9.1b	2	`im`
20.8b	11	`base`
20.8b	11	`(log.f64 base)`

Compiler

Compiled 65 to 39 computations (40% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-7.801481148749832e-51	-8.780961072224376e-54

Results

22.0ms

128×

body

256

valid

Compiler

Compiled 205 to 161 computations (21.5% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(log.f64 base)
3.0ms	im
3.0ms	base
3.0ms	re

Results

Error	Segments	Branch
31.9b	1	`re`
31.9b	1	`im`
31.9b	1	`base`
31.9b	1	`(log.f64 base)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	241
1	54	241
2	58	241
3	61	241
4	62	241

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -330000000000000002574516011559518119166772796489033861664004893611871271218490097599448043703258223370838206082385343146063851596497813504) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) (if (<=.f64 re -5348984913010655/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.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 -2274745500040835/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -8256483666814883/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (neg.f64 (log.f64 (/.f64 -1 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 -330000000000000002574516011559518119166772796489033861664004893611871271218490097599448043703258223370838206082385343146063851596497813504) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) (if (<=.f64 re -5348984913010655/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.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 -2274745500040835/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -8256483666814883/1684996666696914987166688442938726917102321526408785780068975640576) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 99 to 71 computations (28.3% saved)

soundness172.0ms (1.5%)

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)

end42.0ms (0.4%)

Remove: (sort re im)
Compiler: Compiled 107 to 63 computations (41.1% saved)