Details

analyze277.0ms (2.2%)

Algorithm

1×

Search

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

sample2.7s (21.8%)

Results

2.3s	8256×	body	256	valid
407.0ms	2116×	body	256	invalid

Bogosity

preprocess88.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify82.0ms (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

Accurracy

99.7%

Counts

7 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series85.0ms (0.7%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
15.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite87.0ms (0.7%)

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

Outputs

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

simplify82.0ms (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))))
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(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))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 base)) (/.f64 im (.f64 re re))) (.f64 (/.f64 -1/4 (.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 base) (.f64 re re))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (.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 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 (/.f64 -1/4 (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (log.f64 base)) (fma.f64 1/720 (.f64 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) 120) (/.f64 (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) im) im)) (.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 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)))))
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(*.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 Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.2%	(*.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))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

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

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

simplify130.0ms (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)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (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))))))
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(.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))))
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(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
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(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
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(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
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(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(*.f64 (log.f64 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 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)))))
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(+.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)))
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(+.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)))
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(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))))
(+.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 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) 120)))))))
(fma.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re 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 re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (.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))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))
(+.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 (.f64 1/2 (.f64 (log.f64 base) (.f64 im im))) (*.f64 re re)))
(-.f64 (.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re im)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(-.f64 (.f64 (/.f64 1/2 (.f64 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 (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) (log.f64 (/.f64 -1 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) (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 (.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))))))
(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))) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) 120)))))))
(-.f64 (fma.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)) (.f64 1/720 (.f64 (/.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 im 6) 120))))) (.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(-.f64 (fma.f64 1/2 (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (.f64 1/720 (.f64 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 base)) 120)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(*.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)))
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) (log.f64 re)))
(fma.f64 (log.f64 base) (log.f64 re) (.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re im)))))
(fma.f64 (log.f64 base) (log.f64 re) (.f64 (/.f64 1/2 (.f64 re re)) (.f64 (log.f64 base) (.f64 im im))))
(+.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))))
(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 (log.f64 base) (log.f64 re))))
(fma.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 (log.f64 base) (log.f64 re) (.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (.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))))))
(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 (log.f64 base) (log.f64 re) (*.f64 1/6 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(fma.f64 1/2 (/.f64 (log.f64 base) (.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)) (fma.f64 (log.f64 base) (log.f64 re) (.f64 1/6 (.f64 (/.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6))))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 re)))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im)))
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(fma.f64 -1 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (.f64 1/2 (/.f64 (log.f64 base) (/.f64 (.f64 im im) (.f64 re re)))))
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(fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 -1 (.f64 (log.f64 base) (neg.f64 (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))) (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 re re) im) (/.f64 (log.f64 base) im))) (.f64 (log.f64 base) (neg.f64 (log.f64 im)))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (.f64 1/2 (.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)))) (*.f64 (log.f64 base) (neg.f64 (log.f64 im))))
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(.f64 (.f64 1 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (log.f64 (hypot.f64 im re)))
(*.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 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 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.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 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 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.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 (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 (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 (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 (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 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 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.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 (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 (.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 (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 (.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 (cbrt.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) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.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 (/.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)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (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 (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 (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 im re)) (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 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)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.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 (/.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)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 (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))

eval151.0ms (1.2%)

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

prune113.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	483	18	501
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	484	19	503

Accurracy

100.0%

Counts

503 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	98.0%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	99.3%	(/.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.0%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
▶	47.6%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	51.2%	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 (.f64 (log.f64 base) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 im re))))) (*.f64 (log.f64 base) (log.f64 base)))
▶	52.8%	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
	51.3%	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	52.9%	(/.f64 (log.f64 im) (log.f64 base))
	98.3%	(.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))))
	99.3%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))
	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.3%	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.0%	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
	73.3%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 550 to 375 computations (31.8% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	99.5%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 32 to 10 computations (68.8% saved)

series22.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
2.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
2.0ms	re	@	inf	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
2.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
1.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs

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

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

simplify178.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	945	24592
1	2655	24044

Stop Event

1×	node limit

Counts

308 → 486

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series81.0ms (0.6%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
10.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
6.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
6.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
0.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite61.0ms (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

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 47

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.6%	(*.f64 (log.f64 base) (log.f64 im))
	99.2%	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

167 → 169

Calls

Call 1

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.2%	(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 41 to 11 computations (73.2% saved)

series45.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	re	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms	base	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
5.0ms	re	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
4.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 218

Calls

Call 1

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

Outputs

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

simplify201.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1179	30124
1	3694	29710

Stop Event

1×	node limit

Counts

290 → 437

Calls

Call 1

Inputs
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(+.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)))
(+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4)) (+.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))))) (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4)) (+.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)) (.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))))) (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4))))) (pow.f64 im 2)))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) 1) (pow.f64 (log.f64 im) 4)) 1/3) (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))) (pow.f64 im 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/216 (/.f64 1 (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/216 (/.f64 1 (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (.f64 -1/3 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/12 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))) (*.f64 (log.f64 im) (pow.f64 im 2))))))))))) (pow.f64 re 6)))))
(.f64 -1 (.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)) (pow.f64 1 1/3)))
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(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (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 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)) (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)) (*.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)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(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)))))
(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 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1)
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) 1) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 1) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(neg.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (cbrt.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 base))
✓	99.7%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.7%	(/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base)))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series17.0ms (0.1%)

Counts

3 → 80

Calls

21 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/l*`
1358×	`associate-*r/`
1128×	`*-commutative`
984×	`associate-*l/`
322×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	238	55
2	3075	55

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

simplify124.0ms (1%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-/r/`
754×	`distribute-rgt-in`
754×	`distribute-lft-in`
548×	`+-commutative`
522×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	11522
1	1153	10138
2	4599	9724

Stop Event

1×	node limit

Counts

222 → 383

Calls

Call 1

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

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

eval1.1s (8.8%)

Compiler: Compiled 58384 to 29087 computations (50.2% saved)

prune526.0ms (4.2%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1704	16	1720
Fresh	6	7	13
Picked	1	0	1
Done	3	2	5
Total	1714	25	1739

Accurracy

100.0%

Counts

1739 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3) 3)
	52.9%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
	99.0%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	50.6%	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
▶	52.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	47.6%	(/.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	51.2%	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
▶	52.8%	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	51.3%	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	52.9%	(/.f64 (log.f64 im) (log.f64 base))
	99.4%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	52.6%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	99.3%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))
	52.8%	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 im))))
▶	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	52.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	52.8%	(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) (log.f64 base))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	52.7%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	98.0%	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
	38.8%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 604 to 465 computations (23% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite76.0ms (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

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

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

simplify83.0ms (0.7%)

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms	base	@	0	(*.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 (0.4%)

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

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

simplify79.0ms (0.6%)

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 Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (log.f64 (cbrt.f64 im)) 3)
✓	99.6%	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
✓	99.1%	(cbrt.f64 im)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series18.0ms (0.1%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	base	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	im	@	0	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	base	@	inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
1.0ms	im	@	-inf	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	214	25
2	2652	25

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-/r*`
1324×	`unswap-sqr`
962×	`*-commutative`
490×	`associate-/r/`
458×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	290	4027
1	682	2549
2	2584	2549

Stop Event

1×	node limit

Counts

145 → 165

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	99.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	base	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
1.0ms	base	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`add-sqr-sqrt`
1890×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1754×	`add-cbrt-cube`
192×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	222	34
2	2472	34

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1014×	`unswap-sqr`
1010×	`associate-/l*`
950×	`associate-/r*`
888×	`associate-*r/`
692×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	2702
1	470	2606
2	1534	2606
3	7694	2606

Stop Event

1×	node limit

Counts

124 → 100

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

series18.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	im	@	-inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	im	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	-inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	0	(/.f64 1 (log.f64 (hypot.f64 re im)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`*-commutative`
966×	`unswap-sqr`
668×	`associate-/r*`
660×	`swap-sqr`
606×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	275	59
2	3144	59

Stop Event

1×	node limit

Counts

3 → 267

Calls

Call 1

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

Outputs

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

simplify203.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-r`
1320×	`associate-l`
938×	`associate-*r/`
906×	`associate-*l/`
726×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1180	29795
1	3424	29179

Stop Event

1×	node limit

Counts

363 → 609

Calls

Call 1

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

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

eval620.0ms (4.9%)

Compiler: Compiled 32639 to 16155 computations (50.5% saved)

prune489.0ms (3.9%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1212	11	1223
Fresh	8	10	18
Picked	1	0	1
Done	0	6	6
Total	1221	27	1248

Accurracy

100.0%

Counts

1248 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(pow.f64 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)) -1)
	99.0%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	50.6%	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3)
✓	52.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	51.2%	(/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (.f64 (log.f64 base) (log.f64 base)))
	99.3%	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
✓	52.8%	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	51.3%	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
	41.3%	(/.f64 (log1p.f64 (-.f64 im 1)) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	52.9%	(/.f64 (log.f64 im) (log.f64 base))
	52.7%	(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 3)) (log.f64 base))
▶	99.4%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	52.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	52.6%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	47.6%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 (hypot.f64 re im)))
▶	24.0%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
	52.8%	(*.f64 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)) 3)
▶	52.9%	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 im)))
▶	99.3%	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	52.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	47.2%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 (hypot.f64 re im)))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	52.7%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	38.8%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))

Compiler

Compiled 578 to 456 computations (21.1% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 32 to 10 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	base	@	0	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms	im	@	inf	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms	re	@	inf	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms	re	@	-inf	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

100 → 162

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.6%	(/.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))

rewrite116.0ms (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

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

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

simplify76.0ms (0.6%)

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 im)))
✓	99.6%	(/.f64 3 (log.f64 base))
	99.1%	(cbrt.f64 im)

Compiler

Compiled 25 to 12 computations (52% saved)

series7.0ms (0.1%)

Counts

2 → 20

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	base	@	-inf	(/.f64 3 (log.f64 base))
0.0ms	base	@	inf	(/.f64 3 (log.f64 base))
0.0ms	base	@	0	(/.f64 3 (log.f64 base))
0.0ms	im	@	-inf	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 im)))
0.0ms	im	@	inf	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 im)))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
690×	`associate-*r/`
642×	`unswap-sqr`
552×	`swap-sqr`
490×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	215	36
2	2548	36

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

Outputs

(((+.f64 (exp.f64 (log1p.f64 (/.f64 3 (log.f64 base)))) -1) (2)) ((-.f64 (exp.f64 (log1p.f64 (/.f64 3 (log.f64 base)))) 1) (2)) ((*.f64 3 (/.f64 1 (log.f64 base))) (2)) ((*.f64 (/.f64 3 (log.f64 base)) 1) (2)) ((*.f64 1 (/.f64 3 (log.f64 base))) (2)) ((*.f64 (sqrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (/.f64 3 (log.f64 base)))) (2)) ((*.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (2)) ((*.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 3 (log.f64 base)))) (2)) ((*.f64 (/.f64 1 (log.f64 base)) 3) (2)) ((*.f64 -3 (/.f64 -1 (log.f64 base))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 3 (sqrt.f64 (log.f64 base)))) (2)) ((*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 3 (cbrt.f64 (log.f64 base)))) (2)) ((*.f64 (/.f64 3 (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) (2)) ((*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 1 (cbrt.f64 (log.f64 base)))) (2)) ((*.f64 -1 (/.f64 1 (*.f64 (log.f64 base) -1/3))) (2)) ((*.f64 (/.f64 -1 (log.f64 base)) -3) (2)) ((*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base)))) (cbrt.f64 (/.f64 3 (log.f64 base)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base)))) (cbrt.f64 (/.f64 3 (log.f64 base))))) (2)) ((*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))))) (2)) ((*.f64 (*.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base))))) (*.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base)))))) (2)) ((*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base)))))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3/2)) (2)) ((*.f64 (pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/6)) (2)) ((*.f64 (pow.f64 (*.f64 (log.f64 base) 1/3) -1/2) (pow.f64 (*.f64 (log.f64 base) 1/3) -1/2)) (2)) ((pow.f64 (/.f64 3 (log.f64 base)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 3 (log.f64 base))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/3) (2)) ((pow.f64 (*.f64 (log.f64 base) 1/3) -1) (2)) ((sqrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2))) (2)) ((log.f64 (exp.f64 (/.f64 3 (log.f64 base)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (log.f64 base))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 3 (log.f64 base)))) (2)) ((exp.f64 (log.f64 (/.f64 3 (log.f64 base)))) (2)) ((log1p.f64 (expm1.f64 (/.f64 3 (log.f64 base)))) (2)))

(((+.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) -1) (2)) ((+.f64 (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 im 1/6))) (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 im 1/6)))) (2)) ((+.f64 (*.f64 (/.f64 3 (log.f64 base)) 0) (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) (2)) ((+.f64 (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) 2))) (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (cbrt.f64 im))))) (2)) ((+.f64 (*.f64 (log.f64 (pow.f64 im 1/6)) (/.f64 3 (log.f64 base))) (*.f64 (log.f64 (pow.f64 im 1/6)) (/.f64 3 (log.f64 base)))) (2)) ((+.f64 (*.f64 0 (/.f64 3 (log.f64 base))) (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) (2)) ((+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) 2)) (/.f64 3 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 im))) (/.f64 3 (log.f64 base)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) 1) (2)) ((/.f64 3 (/.f64 (log.f64 base) (log.f64 (cbrt.f64 im)))) (2)) ((/.f64 (log.f64 (cbrt.f64 im)) (*.f64 (log.f64 base) 1/3)) (2)) ((/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 1) (2)) ((/.f64 1 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 (cbrt.f64 im)))) (2)) ((/.f64 1 (/.f64 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 (cbrt.f64 im))) 1)) (2)) ((/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 im)) -3))) (2)) ((/.f64 (sqrt.f64 (log.f64 (cbrt.f64 im))) (/.f64 (*.f64 (log.f64 base) 1/3) (sqrt.f64 (log.f64 (cbrt.f64 im))))) (2)) ((/.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) (/.f64 (*.f64 (log.f64 base) 1/3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2))) (2)) ((/.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2) (/.f64 (*.f64 (log.f64 base) 1/3) (cbrt.f64 (log.f64 (cbrt.f64 im))))) (2)) ((/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base)) (2)) ((/.f64 -3 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (2)) ((/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 im))) (2)) ((/.f64 (sqrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))) (/.f64 (log.f64 base) (sqrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))) (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im))))) (/.f64 (log.f64 base) (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))))) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (cbrt.f64 im))))) (2)) ((/.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (cbrt.f64 im))))) (2)) ((/.f64 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)) 1/3) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 3 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -1) (*.f64 (log.f64 base) -1/3)) (2)) ((/.f64 (*.f64 1 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im))))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 1 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im))))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) (sqrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im))))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2) (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im))))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) -1) (neg.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) 1) (sqrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 3)) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 -3)) (sqrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) 1) (cbrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 3)) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 -3)) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (*.f64 (/.f64 3 (sqrt.f64 (log.f64 base))) (log.f64 (cbrt.f64 im))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (log.f64 (cbrt.f64 im))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 -1 (log.f64 (cbrt.f64 im))) (*.f64 (log.f64 base) -1/3)) (2)) ((/.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) 1) (neg.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) 1) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) 1) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))) (sqrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 1 (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (*.f64 (sqrt.f64 3) (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 (sqrt.f64 -3) (*.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im)))) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (2)) ((/.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (2)) ((/.f64 (/.f64 (log.f64 (cbrt.f64 im)) 1) (*.f64 (log.f64 base) 1/3)) (2)) ((/.f64 (/.f64 (log.f64 (cbrt.f64 im)) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) 1/3)) (cbrt.f64 (*.f64 (log.f64 base) 1/3)))) (cbrt.f64 (*.f64 (log.f64 base) 1/3))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) 1) (neg.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) -1) (log.f64 base)) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) 1) (sqrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) 1) (cbrt.f64 (log.f64 base))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (2)) ((/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (2)) ((/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) 1)) (2)) ((pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 3) 1/3) (2)) ((neg.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (neg.f64 (log.f64 base)))) (2)) ((sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 2)) (2)) ((log.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base)))) (2)) ((log.f64 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base))) -1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 3)) (2)) ((cbrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 im)) 3) (pow.f64 (/.f64 3 (log.f64 base)) 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (2)) ((exp.f64 (log.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (2)) ((log1p.f64 (+.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base))) -1)) (2)))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1256×	`distribute-lft-in`
1254×	`unswap-sqr`
1252×	`distribute-rgt-in`
694×	`associate-/l*`
412×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	5224
1	803	4544
2	3493	4544

Stop Event

1×	node limit

Counts

146 → 198

Calls

Call 1

Inputs
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 (/.f64 1 base))))
(*.f64 -3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 (/.f64 1 base))))
(.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 3 (log.f64 base)))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (log.f64 base)))) 1)
(*.f64 3 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 3 (log.f64 base)) 1)
(*.f64 1 (/.f64 3 (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (/.f64 3 (log.f64 base))))
(.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 3 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) 3)
(*.f64 -3 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 3 (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 3 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 3 (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 -1 (/.f64 1 (.f64 (log.f64 base) -1/3)))
(*.f64 (/.f64 -1 (log.f64 base)) -3)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base)))) (cbrt.f64 (/.f64 3 (log.f64 base)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base)))) (cbrt.f64 (/.f64 3 (log.f64 base)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2))))))
(.f64 (.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base))))) (*.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) (sqrt.f64 (cbrt.f64 (/.f64 3 (log.f64 base))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (sqrt.f64 (/.f64 3 (log.f64 base))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/6))
(.f64 (pow.f64 (.f64 (log.f64 base) 1/3) -1/2) (pow.f64 (*.f64 (log.f64 base) 1/3) -1/2))
(pow.f64 (/.f64 3 (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 3 (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 3 (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3) 1/3)
(pow.f64 (*.f64 (log.f64 base) 1/3) -1)
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))
(log.f64 (exp.f64 (/.f64 3 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 3 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 3 (log.f64 base))))
(exp.f64 (log.f64 (/.f64 3 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 3 (log.f64 base))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) -1)
(+.f64 (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 im 1/6))) (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 im 1/6))))
(+.f64 (.f64 (/.f64 3 (log.f64 base)) 0) (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))
(+.f64 (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) 2))) (.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (cbrt.f64 im)))))
(+.f64 (.f64 (log.f64 (pow.f64 im 1/6)) (/.f64 3 (log.f64 base))) (.f64 (log.f64 (pow.f64 im 1/6)) (/.f64 3 (log.f64 base))))
(+.f64 (.f64 0 (/.f64 3 (log.f64 base))) (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) 2)) (/.f64 3 (log.f64 base))) (.f64 (log.f64 (cbrt.f64 (cbrt.f64 im))) (/.f64 3 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) 1)
(/.f64 3 (/.f64 (log.f64 base) (log.f64 (cbrt.f64 im))))
(/.f64 (log.f64 (cbrt.f64 im)) (*.f64 (log.f64 base) 1/3))
(/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 1)
(/.f64 1 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 (cbrt.f64 im))))
(/.f64 1 (/.f64 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 (cbrt.f64 im))) 1))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 im)) -3)))
(/.f64 (sqrt.f64 (log.f64 (cbrt.f64 im))) (/.f64 (*.f64 (log.f64 base) 1/3) (sqrt.f64 (log.f64 (cbrt.f64 im)))))
(/.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) (/.f64 (*.f64 (log.f64 base) 1/3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2) (/.f64 (*.f64 (log.f64 base) 1/3) (cbrt.f64 (log.f64 (cbrt.f64 im)))))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base))
(/.f64 -3 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (cbrt.f64 im))))
(/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 im)))
(/.f64 (sqrt.f64 (.f64 3 (log.f64 (cbrt.f64 im)))) (/.f64 (log.f64 base) (sqrt.f64 (.f64 3 (log.f64 (cbrt.f64 im))))))
(/.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 im)))) (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 im))))) (/.f64 (log.f64 base) (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 im))))))
(/.f64 (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 (.f64 (log.f64 base) 1/3)))
(/.f64 (.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (*.f64 (log.f64 base) 1/3)))
(/.f64 (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (cbrt.f64 im)))))
(/.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (cbrt.f64 im)))))
(/.f64 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)) 1/3)
(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 3 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (log.f64 (cbrt.f64 im)) -1) (.f64 (log.f64 base) -1/3))
(/.f64 (*.f64 1 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im))))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 1 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im))))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (sqrt.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) (sqrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im))))) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2) (cbrt.f64 (*.f64 3 (log.f64 (cbrt.f64 im))))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 3 (log.f64 (cbrt.f64 im))) -1) (neg.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) 1) (sqrt.f64 (*.f64 (log.f64 base) 1/3)))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 3)) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base)))) (sqrt.f64 -3)) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (.f64 9 (pow.f64 (log.f64 base) -2)))) 1) (cbrt.f64 (.f64 (log.f64 base) 1/3)))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 3)) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 9 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 -3)) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 3 (sqrt.f64 (log.f64 base))) (log.f64 (cbrt.f64 im))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 3 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (log.f64 (cbrt.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 -1 (log.f64 (cbrt.f64 im))) (.f64 (log.f64 base) -1/3))
(/.f64 (.f64 (.f64 (log.f64 (cbrt.f64 im)) -3) 1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (.f64 (sqrt.f64 (.f64 3 (log.f64 (cbrt.f64 im)))) (sqrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 1 (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (*.f64 (log.f64 base) 1/3)))
(/.f64 (.f64 (sqrt.f64 3) (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (log.f64 base)))
(/.f64 (.f64 (sqrt.f64 -3) (.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (/.f64 3 (log.f64 base))))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (.f64 (cbrt.f64 (.f64 3 (log.f64 (cbrt.f64 im)))) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (cbrt.f64 (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (log.f64 (cbrt.f64 im)) 1) (*.f64 (log.f64 base) 1/3))
(/.f64 (/.f64 (log.f64 (cbrt.f64 im)) (.f64 (cbrt.f64 (.f64 (log.f64 base) 1/3)) (cbrt.f64 (.f64 (log.f64 base) 1/3)))) (cbrt.f64 (.f64 (log.f64 base) 1/3)))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) 1) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (.f64 (log.f64 (cbrt.f64 im)) -3) (.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) -1) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) -3) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) 1) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) 1) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (*.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 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (/.f64 3 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (cbrt.f64 im)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) (exp.f64 (log1p.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))) 1))
(pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 2))
(log.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base))))
(log.f64 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base))) -1)))
(cbrt.f64 (pow.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 im)) 3) (pow.f64 (/.f64 3 (log.f64 base)) 3)))
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))
(exp.f64 (log.f64 (*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))
(log1p.f64 (+.f64 (pow.f64 (cbrt.f64 im) (/.f64 3 (log.f64 base))) -1))

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

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.9%	(sqrt.f64 (log.f64 base))
✓	99.8%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	99.6%	(pow.f64 (sqrt.f64 (log.f64 base)) -2)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1706×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	215	32
2	2462	32

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1828×	`associate-/r*`
1186×	`associate-+r+`
1060×	`associate-r`
996×	`associate-l`
892×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1256
1	241	1210
2	724	1192
3	3855	1192

Stop Event

1×	node limit

Counts

68 → 50

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im))))
✓	99.5%	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
✓	99.1%	(cbrt.f64 (hypot.f64 re im))

Compiler

Compiled 45 to 18 computations (60% saved)

series171.0ms (1.4%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
155.0ms	base	@	0	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
2.0ms	im	@	-inf	(*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im))))
1.0ms	im	@	0	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
1.0ms	re	@	0	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
1.0ms	im	@	inf	(.f64 (/.f64 1 (log.f64 base)) (.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`unswap-sqr`
832×	`swap-sqr`
668×	`associate-*r/`
552×	`associate-*l/`
526×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	288	43
2	3332	43

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1434×	`distribute-lft-in`
1016×	`associate-/l*`
608×	`associate-r`
544×	`times-frac`
524×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	581	8872
1	1461	7204
2	5921	7204

Stop Event

1×	node limit

Counts

214 → 309

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 (+.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 (/.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 (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))))))
(*.f64 3 (log.f64 (pow.f64 re 1/3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (.f64 3 (log.f64 (pow.f64 re 1/3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 1/8 (.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))) (*.f64 3 (log.f64 (pow.f64 re 1/3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 1/240 (.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))) (+.f64 (.f64 1/8 (.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))) (.f64 3 (log.f64 (pow.f64 re 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im)))) 1)
(*.f64 (cbrt.f64 (hypot.f64 re im)) 1)
(*.f64 1 (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) 1/6) (pow.f64 (hypot.f64 re im) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(pow.f64 (hypot.f64 re im) 1/3)
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 1)
(pow.f64 (pow.f64 (hypot.f64 re im) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3)
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/6)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 (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 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))
(+.f64 (*.f64 (/.f64 3 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))
(+.f64 (.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.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))))
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(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 2)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 re im) 1)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1))
(log1p.f64 (-.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 (*.f64 55/1296 (cbrt.f64 (/.f64 1 (pow.f64 im 17)))) (pow.f64 re 6)))))
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (.f64 re re)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 17))) (*.f64 (pow.f64 re 6) 55/1296)))))
(pow.f64 re 1/3)
(cbrt.f64 re)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (.f64 im im)) (cbrt.f64 re))
(+.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)))
(+.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))))
(*.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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 re re (.f64 im im)))) (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 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 re re (.f64 im im)))) (-.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 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 re re (.f64 im im)))) (-.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 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 re re (.f64 im im)))) (-.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 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(/.f64 (.f64 1/2 (log.f64 (fma.f64 re re (.f64 im im)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))
(/.f64 (*.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 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im 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 3 (/.f64 (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 re re) (.f64 (.f64 im 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 3 (/.f64 (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 re re) (.f64 (.f64 im 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 (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re)))))
(+.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 1 (pow.f64 re 6)) 40) (/.f64 (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 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re))))))
(*.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))))
(fma.f64 3 (log.f64 (cbrt.f64 im)) (/.f64 (.f64 1/2 (.f64 re re)) (*.f64 im im)))
(fma.f64 1/2 (.f64 (/.f64 re im) (/.f64 re im)) (.f64 1 (log.f64 im)))
(+.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)))))
(fma.f64 3 (log.f64 (cbrt.f64 im)) (fma.f64 1/8 (.f64 (pow.f64 re 4) (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4)))) (/.f64 (.f64 1/2 (.f64 re re)) (*.f64 im im))))
(+.f64 (.f64 1 (log.f64 im)) (fma.f64 1/2 (.f64 (/.f64 re im) (/.f64 re im)) (.f64 (pow.f64 re 4) (.f64 1/8 (*.f64 (/.f64 1 (pow.f64 im 4)) -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))))))
(fma.f64 3 (log.f64 (cbrt.f64 im)) (fma.f64 1/8 (.f64 (pow.f64 re 4) (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4)))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 im im)) (.f64 1/240 (.f64 (pow.f64 re 6) (fma.f64 25/3 (/.f64 1 (pow.f64 im 6)) (/.f64 95/3 (pow.f64 im 6))))))))
(+.f64 (.f64 1 (log.f64 im)) (fma.f64 1/8 (.f64 (pow.f64 re 4) (.f64 (/.f64 1 (pow.f64 im 4)) -2)) (fma.f64 (.f64 1/240 (.f64 (/.f64 1 (pow.f64 im 6)) 40)) (pow.f64 re 6) (/.f64 1/2 (.f64 (/.f64 im re) (/.f64 im re))))))
(*.f64 3 (log.f64 (pow.f64 re 1/3)))
(*.f64 3 (log.f64 (cbrt.f64 re)))
(*.f64 1 (log.f64 re))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (.f64 3 (log.f64 (pow.f64 re 1/3))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 3 (log.f64 (cbrt.f64 re))))
(fma.f64 1/2 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 1 (log.f64 re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 1/8 (.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))) (*.f64 3 (log.f64 (pow.f64 re 1/3)))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 re re)) (fma.f64 1/8 (.f64 (pow.f64 im 4) (-.f64 (.f64 -1/3 (/.f64 1 (pow.f64 re 4))) (/.f64 5/3 (pow.f64 re 4)))) (*.f64 3 (log.f64 (cbrt.f64 re)))))
(fma.f64 1/2 (.f64 (/.f64 im re) (/.f64 im re)) (fma.f64 1/8 (.f64 (pow.f64 im 4) (.f64 (/.f64 1 (pow.f64 re 4)) -2)) (.f64 1 (log.f64 re))))
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(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))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1))
(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))

eval507.0ms (4%)

Compiler: Compiled 21932 to 10734 computations (51.1% saved)

prune403.0ms (3.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1058	11	1069
Fresh	9	7	16
Picked	1	0	1
Done	1	9	10
Total	1069	27	1096

Accurracy

100.0%

Counts

1096 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(pow.f64 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)) -1)
✓	52.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.3%	(/.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) (log.f64 base))
✓	52.8%	(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base))
	51.3%	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
	41.3%	(/.f64 (log1p.f64 (-.f64 im 1)) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	99.4%	(/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) 3))
	52.8%	(/.f64 (log.f64 (cbrt.f64 im)) (*.f64 (log.f64 base) 1/3))
✓	52.9%	(/.f64 (log.f64 im) (log.f64 base))
	52.9%	(/.f64 3 (/.f64 (log.f64 base) (log.f64 (cbrt.f64 im))))
	51.3%	(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
✓	99.4%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	52.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	52.8%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	99.0%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	99.2%	(/.f64 1/3 (/.f64 (/.f64 (log.f64 base) 3) (log.f64 (hypot.f64 re im))))
	52.7%	(/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 im)))
	52.6%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
	52.8%	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 im 1/3)))
✓	52.9%	(*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 im)))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	52.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	54.8%	(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
	99.3%	(*.f64 3 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	52.7%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Compiler

Compiled 320 to 254 computations (20.6% saved)

regimes280.0ms (2.2%)

Counts

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

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

Calls

5 calls:

74.0ms	base
58.0ms	im
54.0ms	(log.f64 base)
26.0ms	re
17.0ms	(/.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

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	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)))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 673 to 296 computations (56% saved)

regimes269.0ms (2.1%)

Counts

11 → 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 (log1p.f64 (-.f64 im 1)) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 im)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 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 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(.f64 3 (/.f64 (.f64 1/6 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

124.0ms	(log.f64 base)
103.0ms	base
21.0ms	im
18.0ms	re

Results

Accuracy	Segments	Branch
89.3%	3	`re`
91.9%	3	`im`
68.0%	8	`base`
68.0%	8	`(log.f64 base)`

Compiler

Compiled 113 to 68 computations (39.8% saved)

bsearch89.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
67.0ms	1.7931362393226024e+124	2.785435463185306e+124
22.0ms	4.971765869047126e-141	1.0950774300619508e-138

Results

85.0ms

176×

body

256

valid

Compiler

Compiled 366 to 277 computations (24.3% saved)

regimes527.0ms (4.2%)

Counts

9 → 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 (log1p.f64 (-.f64 im 1)) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 1/3 (/.f64 (*.f64 (log.f64 base) 1/3) (log.f64 im)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))

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

Calls

4 calls:

315.0ms	im
147.0ms	(log.f64 base)
48.0ms	base
15.0ms	re

Results

Accuracy	Segments	Branch
84.2%	2	`re`
87.5%	2	`im`
67.0%	8	`base`
67.0%	8	`(log.f64 base)`

Compiler

Compiled 91 to 55 computations (39.6% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.2136149885306184e-109	1.2457422533471343e-107

Results

20.0ms

112×

body

256

valid

Compiler

Compiled 184 to 144 computations (21.7% saved)

regimes52.0ms (0.4%)

Accuracy

Total -7.6b remaining (-25.1%)

Threshold costs -7.6b (-25.1%)

Counts

4 → 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 (log1p.f64 (-.f64 im 1)) (log.f64 base))

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

Calls

4 calls:

39.0ms	re
4.0ms	(log.f64 base)
4.0ms	im
4.0ms	base

Results

Accuracy	Segments	Branch
52.9%	1	`re`
52.9%	1	`im`
52.9%	1	`base`
52.9%	1	`(log.f64 base)`

Compiler

Compiled 46 to 29 computations (37% saved)

simplify7.0ms (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	38	188
1	46	188
2	50	188
3	53	188
4	54	188

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 im 831284091656441/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 27499999999999998873280477631837547325770687636192868639851733799523538782250696844470606124320862863646675960283008350552064) (.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 im 3305279843951243/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (/.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 im 831284091656441/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 27499999999999998873280477631837547325770687636192868639851733799523538782250696844470606124320862863646675960283008350552064) (.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 im 3305279843951243/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (/.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 77 to 53 computations (31.2% saved)

soundness167.0ms (1.3%)

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)

end54.0ms (0.4%)

Remove: (sort re im)
Compiler: Compiled 88 to 51 computations (42% saved)