Details

analyze879.0ms (22.1%)

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 (45.9%)

Results

1.6s	8256×	body	128	valid
185.0ms	994×	body	128	invalid

Compiler

Compiled 64 to 42 computations (34.4% saved)

preprocess47.0ms (1.2%)

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)

simplify41.0ms (1%)

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

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	30.4b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
▶	0.3b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Status

Error

Program

30.4b

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

▶

0.3b

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series84.0ms (2.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
17.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
8.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
5.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite38.0ms (1%)

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	11
1	158	11
2	1946	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1148
1	263	1052
2	730	1012
3	3018	992

Stop Event

1×	node limit

Counts

69 → 76

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))))

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

prune70.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	65	11	76
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	11	78

Error

0.0b

Counts

78 → 11

Alt Table

Status	Error	Program
	1.4b	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	15.5b	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	1.3b	(*.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))))
	16.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	1.2b	(*.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)))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	0.4b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 1815 to 960 computations (47.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 44

Calls

12 calls:

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

rewrite41.0ms (1%)

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

simplify44.0ms (1.1%)

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))

prune66.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	94	12	106

Error

0.0b

Counts

106 → 12

Alt Table

Status	Error	Program
	1.2b	(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	1.3b	(*.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))))
	16.1b	(expm1.f64 (log1p.f64 (/.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))))
▶	0.3b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
	15.5b	(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	0.4b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 1993 to 1083 computations (45.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`
104×	`pow1_binary64`
101×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	208	11
2	2803	11

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1148
1	263	1052
2	730	1012
3	3018	992

Stop Event

1×	node limit

Counts

75 → 82

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))))

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

prune53.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	83	11	94

Error

0.0b

Counts

94 → 11

Alt Table

Status	Error	Program
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	0.9b	(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	1.3b	(*.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))))
	16.1b	(expm1.f64 (log1p.f64 (/.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))))
	15.5b	(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶	0.4b	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 1883 to 964 computations (48.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series29.0ms (0.7%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
3.0ms	im	@	inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
2.0ms	re	@	inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
2.0ms	im	@	0	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
2.0ms	re	@	0	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

rewrite53.0ms (1.3%)

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 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 log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(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 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 log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify58.0ms (1.5%)

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

prune149.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	181	9	190

Error

0.0b

Counts

190 → 9

Alt Table

Status	Error	Program
	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
	0.9b	(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))
	0.6b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	0.4b	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	16.1b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	0.7b	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	15.5b	(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

Compiler

Compiled 5662 to 3187 computations (43.7% saved)

regimes187.0ms (4.7%)

Accuracy

Total 0.3b remaining (90.1%)

Threshold costs 0.3b (90.1%)

Counts

67 → 1

Compiler

Compiled 861 to 320 computations (62.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end128.0ms (3.2%)

Stop Event

1×

fuel

Remove

(sort re im)

Compiler

Compiled 170 to 119 computations (30% saved)

Details

analyze879.0ms (22.1%)

sample1.8s (45.9%)

preprocess47.0ms (1.2%)

simplify41.0ms (1%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

series84.0ms (2.1%)

rewrite38.0ms (1%)

simplify42.0ms (1.1%)

prune70.0ms (1.8%)

localize8.0ms (0.2%)

series6.0ms (0.2%)

rewrite41.0ms (1%)

simplify44.0ms (1.1%)

prune66.0ms (1.7%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify44.0ms (1.1%)

prune53.0ms (1.3%)

localize10.0ms (0.2%)

series29.0ms (0.7%)

rewrite53.0ms (1.3%)

simplify58.0ms (1.5%)

prune149.0ms (3.8%)

regimes187.0ms (4.7%)

simplify2.0ms (0%)

end128.0ms (3.2%)

Profiling