Details

analyze893.0ms (10.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
4.7%	70.2%	25.1%	7
8.6%	66.3%	25.1%	8
13.7%	61.2%	25.1%	9
20.5%	41.9%	37.6%	10
24.3%	38.1%	37.6%	11
28.5%	33.9%	37.6%	12
33.3%	22.9%	43.8%	13
35.8%	20.4%	43.8%	14

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample1.8s (22.1%)

Results

1.6s	8256×	body	128	valid
174.0ms	957×	body	128	invalid

Compiler

Compiled 64 to 42 computations (34.4% saved)

preprocess45.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

628×	`fma-def_binary64`
405×	`associate-/l/_binary64`
300×	`distribute-rgt-in_binary64`
288×	`cube-prod_binary64`
262×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	88
1	91	84
2	108	84
3	141	56
4	196	44
5	221	44
6	648	44
7	2437	44
8	4041	44
9	4419	44
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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (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 (*.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (log.f64 re)) (log.f64 re))
(/.f64 (/.f64 (log.f64 (hypot.f64 im base)) (/.f64 (log.f64 re) (log.f64 re))) (log.f64 re))
(/.f64 (log.f64 (hypot.f64 im base)) (*.f64 (log.f64 re) 1))
(/.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 (hypot.f64 re base)) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (*.f64 (log.f64 im) 1))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))

Symmetry

(sort re im)

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/l/_binary64`
526×	`cube-prod_binary64`
434×	`times-frac_binary64`
365×	`sqr-pow_binary64`
291×	`pow-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	31	21
2	38	21
3	49	14
4	66	11
5	75	11
6	218	11
7	1196	11
8	1804	11
9	2015	11
10	2509	11
11	2992	11
12	3869	11

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	33.1b	(/.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)))

Status

Error

Program

▶

0.4b

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

33.1b

(/.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)))

Compiler

Compiled 120 to 77 computations (35.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 re im)
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

series554.0ms (6.7%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
176.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
174.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
163.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	im	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	re	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	158	15
2	1946	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

762×	`times-frac_binary64`
406×	`associate-/r*_binary64`
360×	`associate-/l*_binary64`
332×	`fma-def_binary64`
209×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1684
1	394	1570
2	1188	1490

Stop Event

1×	node limit

Counts

114 → 129

Calls

Call 1

Inputs
(/.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 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.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 (log.f64 im) (log.f64 base)))) (.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 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.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 (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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.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 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 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 (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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.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 (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 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(-.f64 (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(*.f64 -1 re)
(neg.f64 (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(-.f64 (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(*.f64 -1 im)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))

Outputs
(/.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 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (+.f64 0 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (+.f64 0 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (+.f64 0 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (+.f64 0 (log.f64 base)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (*.f64 (/.f64 re im) re) im)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) im) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 re im) re) im))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(fma.f64 1/2 (/.f64 (.f64 re re) im) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(-.f64 (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(+.f64 re (-.f64 (/.f64 (.f64 1/2 (.f64 im im)) re) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (fma.f64 1/2 (/.f64 im (/.f64 re im)) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3))))
(fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 im re) im) re))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (/.f64 im (/.f64 re im)) re)) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re)))
(*.f64 -1 re)
(neg.f64 re)
(neg.f64 (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(neg.f64 (+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re)))
(-.f64 (*.f64 (/.f64 im (/.f64 re im)) -1/2) re)
(-.f64 (/.f64 (*.f64 im -1/2) (/.f64 re im)) re)
(-.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (neg.f64 (+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re))))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 re 3) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 im (/.f64 re im)) re))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 re 3) (pow.f64 im 4))) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (.f64 1/2 (*.f64 im im)) re))))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 re 3) (pow.f64 im 4))) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (/.f64 im (/.f64 re im)) re)))
(-.f64 (/.f64 1/8 (/.f64 (pow.f64 re 3) (pow.f64 im 4))) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re)))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(-.f64 (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(+.f64 re (-.f64 (/.f64 (.f64 1/2 (.f64 im im)) re) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (fma.f64 1/2 (/.f64 im (/.f64 re im)) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3))))
(fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 im re) im) re))
(-.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (.f64 1/2 (.f64 im im)) re))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (/.f64 im (/.f64 re im)) re)) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 1/2 (*.f64 (/.f64 im re) im) re)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (*.f64 (/.f64 re im) re) im)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) im) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 re im) re) im))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(fma.f64 1/2 (/.f64 (.f64 re re) im) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im) (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) -1/8 (fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(neg.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(-.f64 (.f64 (/.f64 (.f64 re re) im) -1/2) im)
(-.f64 (/.f64 (*.f64 re -1/2) (/.f64 im re)) im)
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (fma.f64 1/2 (/.f64 (.f64 re re) im) im))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (-.f64 (/.f64 (*.f64 re -1/2) (/.f64 im re)) im))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (fma.f64 1/2 (/.f64 (.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (fma.f64 1/2 (.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))

prune95.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	116	13	129
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	117	14	131

Error

0.0b

Counts

131 → 14

Alt Table

Status	Error	Program
	0.5b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	42.1b	(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
	13.0b	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	1.3b	(.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))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	1.4b	(*.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))
▶	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	16.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	31.9b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
	1.2b	(*.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))))
	13.0b	(/.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (log.f64 base))
	1.4b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Compiler

Compiled 2760 to 1484 computations (46.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 re im)
✓	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

series572.0ms (6.9%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
175.0ms	base	@	-inf	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
172.0ms	base	@	inf	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
157.0ms	base	@	0	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
14.0ms	base	@	-inf	(/.f64 1 (log.f64 base))
12.0ms	base	@	0	(/.f64 1 (log.f64 base))

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
93×	`pow1_binary64`
92×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	194	17
2	2242	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

Outputs

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

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg_binary64`
294×	`times-frac_binary64`
219×	`sub-neg_binary64`
214×	`fma-def_binary64`
199×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1212
1	265	1116
2	732	1060
3	3020	1040

Stop Event

1×	node limit

Counts

93 → 95

Calls

Call 1

Inputs
(/.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 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.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 (log.f64 im) (log.f64 base)))) (.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 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.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 (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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.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 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 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 (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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.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 (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 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))

Outputs
(/.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 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 re (.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))) (/.f64 (log.f64 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 re) (.f64 (log.f64 base) (.f64 im im))) (/.f64 (.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 re (.f64 im im))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 re (log.f64 base)) re) (+.f64 (.f64 -1/4 (/.f64 (.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im)))))
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(fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 re (.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base)))))
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(*.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 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
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(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
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(-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(-.f64 (.f64 1/2 (/.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (.f64 re re)) (/.f64 (.f64 (.f64 im im) 1/4) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (.f64 1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 base)) (.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.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 1/6 (/.f64 (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))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 1/6)) (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
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(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
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(-.f64 (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im)))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (.f64 (.f64 (/.f64 re (log.f64 base)) re) (+.f64 (.f64 -1/4 (/.f64 (.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (log.f64 base) (.f64 im im)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 base) (.f64 im im))))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (log.f64 base)) (/.f64 re (.f64 im im))) (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (.f64 (.f64 (/.f64 re (log.f64 base)) re) (+.f64 (.f64 -1/4 (/.f64 (.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (.f64 im im))))) (/.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 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (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 im re)) (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 im re)) (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 im re)) (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 im re)) (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 im re)) (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 im re)) (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 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (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 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (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 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (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 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (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 im re)) (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))

prune105.0ms (1.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	5	7	12
Picked	0	1	1
Done	0	1	1
Total	146	14	160

Error

0.0b

Counts

160 → 14

Alt Table

Status	Error	Program
▶	0.5b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	1.4b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	1.3b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	31.8b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	1.3b	(.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))))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	13.0b	(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
	1.4b	(*.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))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	16.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	0.8b	(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	31.3b	(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))

Compiler

Compiled 2960 to 1669 computations (43.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 re im)
✓	0.3b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	0.4b	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

series1.2s (14.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
190.0ms	base	@	-inf	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
181.0ms	base	@	0	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
180.0ms	base	@	inf	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
173.0ms	base	@	inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
169.0ms	base	@	-inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`
98×	`pow1_binary64`
96×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	200	22
2	2400	22

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

465×	`times-frac_binary64`
386×	`associate-/r*_binary64`
283×	`associate-/l*_binary64`
248×	`fma-def_binary64`
193×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	352	3790
1	1280	3520

Stop Event

1×	node limit

Counts

148 → 179

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) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (-.f64 (log.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) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (-.f64 (log.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 (log.f64 base) (log.f64 im)) (.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 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 im)))) (.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 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 im)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 im) 4) (pow.f64 im 6)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2))))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 4)))) (+.f64 (/.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 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 4)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 4)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 6))))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 4) (pow.f64 re 6)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 6)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 4)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2))))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 6)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 4))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 4) (pow.f64 re 6)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2)))) (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 6)))))))))
(/.f64 (log.f64 base) (log.f64 re))
(-.f64 (/.f64 (log.f64 base) (log.f64 re)) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (+.f64 (/.f64 (log.f64 base) (log.f64 re)) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (+.f64 (/.f64 (log.f64 base) (log.f64 re)) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 4)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 3)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2))))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 4)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 6)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 4))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 4) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 6)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 6))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 4) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))))
(/.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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.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 (log.f64 im) (log.f64 base)))
(-.f64 (+.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 im) (.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4)))))))
(-.f64 (+.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 (.f64 1/8 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 im) 2) (.f64 (log.f64 base) (pow.f64 im 6))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 base)))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 im 4))))))))
(*.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 (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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.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 (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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (.f64 (pow.f64 re 4) (log.f64 re))))) (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (.f64 (log.f64 re) (pow.f64 re 4)))))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (.f64 (pow.f64 re 4) (log.f64 re))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6))))) (.f64 1/8 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (.f64 (log.f64 re) (pow.f64 re 6)))))))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (.f64 (log.f64 re) (pow.f64 re 4))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2))))) (.f64 1/8 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (.f64 (pow.f64 re 6) (log.f64 re)))))))))
(*.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 (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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.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 (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 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 -1 im)) (log.f64 base))))

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

prune185.0ms (2.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	2	9	11
Picked	0	1	1
Done	0	2	2
Total	230	14	244

Error

Counts

244 → 14

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	0.9b	(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))
	1.4b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	1.3b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	31.8b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	1.3b	(.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))))
▶	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	13.0b	(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	16.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	0.8b	(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	1.3b	(pow.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) -1)

Compiler

Compiled 6839 to 3920 computations (42.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series1.2s (15.1%)

Counts

4 → 104

Calls

27 calls:

Time	Variable		Point	Expression
200.0ms	base	@	-inf	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
192.0ms	base	@	inf	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
170.0ms	base	@	0	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
165.0ms	base	@	inf	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
163.0ms	base	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
199×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
184×	`log-pow_binary64`
116×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	253	40
2	2882	40

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
433×	`associate-/r*_binary64`
366×	`associate-/l*_binary64`
325×	`fma-def_binary64`
198×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	403	5298
1	1414	4954

Stop Event

1×	node limit

Counts

241 → 288

Calls

Call 1

Inputs
(pow.f64 (log.f64 im) 3)
(+.f64 (pow.f64 (log.f64 im) 3) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 2)) (pow.f64 im 2))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 im) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (pow.f64 (log.f64 im) 3) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 2)) (pow.f64 im 2))))) (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 4)) (pow.f64 im 4))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 im) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (pow.f64 (log.f64 im) 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 6)) (pow.f64 im 6))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 2)) (pow.f64 im 2))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 4)) (pow.f64 im 4))) (.f64 3/4 (/.f64 (*.f64 (log.f64 im) (pow.f64 re 6)) (pow.f64 im 6)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (pow.f64 (log.f64 (/.f64 1 re)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 6)) (pow.f64 re 6))) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (pow.f64 re 6)))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (.f64 3/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 re 4))))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 6)) (pow.f64 re 6))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 6)) (pow.f64 re 6)))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (.f64 3/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 re 4))))))
(pow.f64 (log.f64 re) 3)
(+.f64 (pow.f64 (log.f64 re) 3) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (pow.f64 re 2))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 re) 3) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (pow.f64 re 2))))) (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 4)) (pow.f64 re 4))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (pow.f64 (log.f64 re) 3) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 6)) (pow.f64 re 6))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 6)) (pow.f64 re 6))) (.f64 3/4 (/.f64 (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 4)) (pow.f64 re 4)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 1 im)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 4)) (pow.f64 im 4))) (pow.f64 (log.f64 (/.f64 1 im)) 3))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 6)) (pow.f64 im 6))) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 6)) (pow.f64 im 6)))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 3/4 (/.f64 (*.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 4)) (pow.f64 im 4))) (pow.f64 (log.f64 (/.f64 1 im)) 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 im)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 2))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 4))) (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (pow.f64 im 4))))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 6))) (.f64 3/4 (/.f64 (.f64 (pow.f64 re 6) (log.f64 (/.f64 -1 im))) (pow.f64 im 6)))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 im 4))) (.f64 3/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (pow.f64 im 4))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(/.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 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.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 (log.f64 im) (log.f64 base)))) (.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 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.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 (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 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.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 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 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 (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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.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 (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 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.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 (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) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
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(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
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(-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 im) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))))) (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 im) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 im) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))
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(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))))
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(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))))
(-.f64 (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (.f64 1/8 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))))
(/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)) (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))) (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (.f64 1/8 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 im 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (.f64 3/4 (/.f64 (.f64 (log.f64 re) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (.f64 1/8 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))))) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)) (.f64 3/4 (/.f64 (.f64 (log.f64 (/.f64 1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)))
(-.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (.f64 3/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (.f64 3/4 (/.f64 (.f64 (pow.f64 re 6) (log.f64 (/.f64 -1 im))) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (.f64 3/4 (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))

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

prune263.0ms (3.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	285	3	288
Fresh	5	5	10
Picked	0	1	1
Done	0	3	3
Total	290	12	302

Error

Counts

302 → 12

Alt Table

Status	Error	Program
✓	0.5b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	0.7b	(cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) -3))))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	0.9b	(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))
	0.8b	(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	0.8b	(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 base) 3))))
✓	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	31.8b	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	16.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	1.1b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3) (log.f64 base))))
	1.4b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))

Compiler

Compiled 8902 to 5415 computations (39.2% saved)

regimes593.0ms (7.2%)

Accuracy

Total 0.3b remaining (90.2%)

Threshold costs 0.3b (90.2%)

Counts

109 → 1

Compiler

Compiled 9221 to 6731 computations (27% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end170.0ms (2.1%)

Stop Event

1×

fuel

Remove

(sort re im)

Compiler

Compiled 226 to 163 computations (27.9% saved)

Details

analyze893.0ms (10.9%)

sample1.8s (22.1%)

preprocess45.0ms (0.5%)

simplify39.0ms (0.5%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

series554.0ms (6.7%)

rewrite41.0ms (0.5%)

simplify41.0ms (0.5%)

prune95.0ms (1.2%)

localize13.0ms (0.2%)

series572.0ms (6.9%)

rewrite39.0ms (0.5%)

simplify43.0ms (0.5%)

prune105.0ms (1.3%)

localize9.0ms (0.1%)

series1.2s (14.3%)

rewrite52.0ms (0.6%)

simplify89.0ms (1.1%)

prune185.0ms (2.2%)

localize12.0ms (0.1%)

series1.2s (15.1%)

rewrite56.0ms (0.7%)

simplify74.0ms (0.9%)

prune263.0ms (3.2%)

regimes593.0ms (7.2%)

simplify2.0ms (0%)

end170.0ms (2.1%)

Profiling