Details

analyze541.0ms (2.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	7
11.5%	8.6%	66.3%	0.1%	0%	25%	0%	8
18.2%	13.7%	61.2%	0.1%	0%	25%	0%	9
32.8%	20.5%	41.9%	0.1%	0%	37.4%	0%	10
38.9%	24.3%	38.1%	0.1%	0%	37.4%	0%	11
45.7%	28.5%	33.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample3.6s (17.9%)

Results

3.0s	8256×	body	256	valid
519.0ms	2048×	body	256	invalid

Bogosity

preprocess53.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1314×	`rational_best-simplify-51`
1006×	`rational_best-simplify-47`
976×	`rational_best-simplify-53`
930×	`rational_best-simplify-49`
696×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	324
1	128	252
2	309	212
3	781	172
4	2577	172
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 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 0 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0) (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 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 0 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0) (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 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) (log.f64 re)) (.f64 0 (atan2.f64 im base))) (+.f64 0 (*.f64 (log.f64 re) (log.f64 re))))
(/.f64 (+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) (log.f64 re))) (.f64 (log.f64 re) (log.f64 re)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) (log.f64 re)) (/.f64 0 (log.f64 re)))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) 0) (log.f64 re))
(/.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base 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 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 0 (atan2.f64 base re))) (+.f64 0 (*.f64 (log.f64 im) (log.f64 im))))
(/.f64 (+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im))) (.f64 (log.f64 im) (log.f64 im)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (/.f64 0 (log.f64 im)))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0) (log.f64 im))
(/.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base))))) (log.f64 im))

Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best-simplify-55`
996×	`rational_best-simplify-60`
972×	`rational_best-simplify-63`
858×	`rational_best-simplify-3`
710×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	43	63
2	103	53
3	255	43
4	796	43
5	4578	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 120 to 36 computations (70% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

28.6b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
▶	28.7b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))

Status

Error

Program

▶

28.8b

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

▶

28.7b

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

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize121.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 re re) (.f64 im im))
✓	0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
✓	26.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 50 to 10 computations (80% saved)

series69.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
41.0ms	base	@	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
12.0ms	base	@	-inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
1.0ms	im	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
1.0ms	re	@	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational_best-4`
1158×	`rational_best-2`
1158×	`rational_best-3`
1158×	`rational_best-1`
1158×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	91	79
2	223	79
3	678	79
4	2817	79

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) 4)) (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 3/2) (.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 3/2) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) -1) (neg.f64 (-.f64 1 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (-.f64 -1 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) 4))) (neg.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 3/2) (.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (/.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (+.f64 (/.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) -2)) (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 re re) (neg.f64 (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 re re) (-.f64 (*.f64 im im) (*.f64 im (+.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 im im) (*.f64 re (neg.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 im im) (-.f64 (-.f64 (*.f64 im im) (*.f64 re re)) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 re re) 2) (-.f64 (*.f64 re re) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 im (+.f64 im im)) (-.f64 (*.f64 im im) (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2) (/.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 re re) 2) (-.f64 (neg.f64 (*.f64 im im)) (/.f64 (*.f64 re re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 re re) 2) (+.f64 (/.f64 (*.f64 re (neg.f64 re)) 2) (neg.f64 (*.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 im im) 2) (-.f64 (*.f64 re (neg.f64 re)) (/.f64 (*.f64 im im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 im im) 2) (+.f64 (/.f64 (neg.f64 (*.f64 im im)) 2) (*.f64 re (neg.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (*.f64 re re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 re re) (/.f64 (*.f64 im im) 2)) (neg.f64 (/.f64 (*.f64 im im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 re (neg.f64 re)) -2) (-.f64 (/.f64 (*.f64 re re) -2) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 im im) (/.f64 (*.f64 re re) 2)) (neg.f64 (/.f64 (*.f64 re re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 re re) (*.f64 im im)) (*.f64 -2 (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 re re) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 im (+.f64 im im))) (*.f64 2 (*.f64 (*.f64 re re) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)))))))

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational_best-simplify-49`
988×	`rational_best-simplify-53`
928×	`rational_best-simplify-50`
830×	`rational_best-simplify-1`
646×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	7893
1	1017	7593
2	2750	7581

Stop Event

1×	node limit

Counts

195 → 259

Calls

Call 1

Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
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(.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2)))
(/.f64 (+.f64 (.f64 re re) (.f64 im im)) 1)
(/.f64 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2) 2)
(/.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)) (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 im (+.f64 im im))) (.f64 2 (.f64 (*.f64 re re) 2))) 4)
(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)))
(fabs.f64 (+.f64 (.f64 re re) (.f64 im im)))
(fabs.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)))

Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 im (*.f64 (pow.f64 re 2) (/.f64 1/2 im)))
(+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 im (+.f64 (.f64 (pow.f64 re 2) (/.f64 1/2 im)) (.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3)))))
(+.f64 im (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(+.f64 (.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3))) (+.f64 im (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (*.f64 (pow.f64 re 2) (/.f64 1/2 im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (+.f64 im (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)))) (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(+.f64 im (+.f64 (.f64 (pow.f64 re 6) (/.f64 1/16 (pow.f64 im 5))) (+.f64 (.f64 (pow.f64 re 2) (/.f64 1/2 im)) (*.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3))))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 (pow.f64 im 2) (/.f64 1/2 re)))
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 (pow.f64 im 2) (/.f64 1/2 re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 (.f64 (pow.f64 im 2) (/.f64 1/2 re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))))))
(+.f64 (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)))))
(+.f64 re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))))))
(*.f64 -1 re)
(neg.f64 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (neg.f64 re) (*.f64 (pow.f64 im 2) (/.f64 -1/2 re)))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 (pow.f64 im 2) (/.f64 -1/2 re)) (+.f64 (.f64 (pow.f64 im 4) (/.f64 1/8 (pow.f64 re 3))) (neg.f64 re)))
(+.f64 (neg.f64 re) (+.f64 (.f64 (pow.f64 im 2) (/.f64 -1/2 re)) (.f64 (pow.f64 im 4) (/.f64 1/8 (pow.f64 re 3)))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(+.f64 (+.f64 (.f64 (pow.f64 im 2) (/.f64 -1/2 re)) (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16)) (+.f64 (*.f64 (pow.f64 im 4) (/.f64 1/8 (pow.f64 re 3))) (neg.f64 re)))
(+.f64 (neg.f64 re) (+.f64 (.f64 (pow.f64 im 4) (/.f64 1/8 (pow.f64 re 3))) (+.f64 (.f64 (pow.f64 im 2) (/.f64 -1/2 re)) (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))))
(+.f64 (+.f64 (.f64 (pow.f64 im 2) (/.f64 -1/2 re)) (.f64 (pow.f64 im 6) (/.f64 -1/16 (pow.f64 re 5)))) (+.f64 (neg.f64 re) (*.f64 (pow.f64 im 4) (/.f64 1/8 (pow.f64 re 3)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 (pow.f64 im 2) (/.f64 1/2 re)))
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 (pow.f64 im 2) (/.f64 1/2 re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 (.f64 (pow.f64 im 2) (/.f64 1/2 re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))))))
(+.f64 (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)))))
(+.f64 re (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 im (*.f64 (pow.f64 re 2) (/.f64 1/2 im)))
(+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 im (+.f64 (.f64 (pow.f64 re 2) (/.f64 1/2 im)) (.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3)))))
(+.f64 im (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(+.f64 (.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3))) (+.f64 im (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (*.f64 (pow.f64 re 2) (/.f64 1/2 im)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (+.f64 im (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)))) (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(+.f64 im (+.f64 (.f64 (pow.f64 re 6) (/.f64 1/16 (pow.f64 im 5))) (+.f64 (.f64 (pow.f64 re 2) (/.f64 1/2 im)) (*.f64 (pow.f64 re 4) (/.f64 -1/8 (pow.f64 im 3))))))
(*.f64 -1 im)
(*.f64 im -1)
(neg.f64 im)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))
(+.f64 (.f64 im -1) (.f64 (pow.f64 re 2) (/.f64 -1/2 im)))
(+.f64 (neg.f64 im) (*.f64 (pow.f64 re 2) (/.f64 -1/2 im)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (.f64 im -1) (+.f64 (.f64 (pow.f64 re 2) (/.f64 -1/2 im)) (*.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3)))))
(+.f64 (+.f64 (neg.f64 im) (.f64 (pow.f64 re 2) (/.f64 -1/2 im))) (.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3))))
(+.f64 (neg.f64 im) (+.f64 (.f64 (pow.f64 re 2) (/.f64 -1/2 im)) (.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3)))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(+.f64 (+.f64 (.f64 im -1) (+.f64 (.f64 (pow.f64 re 2) (/.f64 -1/2 im)) (.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3))))) (.f64 (pow.f64 re 6) (/.f64 -1/16 (pow.f64 im 5))))
(+.f64 (+.f64 (neg.f64 im) (.f64 (pow.f64 re 2) (/.f64 -1/2 im))) (+.f64 (.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3))) (*.f64 (pow.f64 re 6) (/.f64 -1/16 (pow.f64 im 5)))))
(+.f64 (neg.f64 im) (+.f64 (.f64 (pow.f64 re 2) (/.f64 -1/2 im)) (+.f64 (.f64 (pow.f64 re 4) (/.f64 1/8 (pow.f64 im 3))) (*.f64 (pow.f64 re 6) (/.f64 -1/16 (pow.f64 im 5))))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (pow.f64 re 2) (/.f64 (/.f64 1/2 (pow.f64 im 2)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 4) (/.f64 -1/4 (.f64 (pow.f64 im 4) (log.f64 base))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (pow.f64 re 2) (/.f64 (/.f64 1/2 (pow.f64 im 2)) (log.f64 base))) (.f64 (pow.f64 re 4) (/.f64 -1/4 (*.f64 (pow.f64 im 4) (log.f64 base))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (pow.f64 re 2) (/.f64 (/.f64 1/2 (pow.f64 im 2)) (log.f64 base))) (.f64 (pow.f64 re 4) (/.f64 (/.f64 -1/4 (log.f64 base)) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (pow.f64 re 4) (/.f64 -1/4 (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 6) (/.f64 1/6 (.f64 (pow.f64 im 6) (log.f64 base)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (pow.f64 re 4) (/.f64 -1/4 (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 (pow.f64 re 2) (/.f64 (/.f64 1/2 (pow.f64 im 2)) (log.f64 base))) (.f64 (pow.f64 re 6) (/.f64 (/.f64 1/6 (pow.f64 im 6)) (log.f64 base))))))
(+.f64 (.f64 (pow.f64 re 2) (/.f64 (/.f64 1/2 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 (pow.f64 re 4) (/.f64 (/.f64 -1/4 (log.f64 base)) (pow.f64 im 4))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (pow.f64 re 6) (/.f64 1/6 (.f64 (pow.f64 im 6) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 re)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 (log.f64 (/.f64 1 re)) (/.f64 -1 (log.f64 base))) (.f64 1/2 (/.f64 (/.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))))
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))) (+.f64 (.f64 (log.f64 (/.f64 1 re)) (/.f64 -1 (log.f64 base))) (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base))))))
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4)))))
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))) (.f64 1/720 (/.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (pow.f64 re 6)))) (+.f64 (.f64 (log.f64 (/.f64 1 re)) (/.f64 -1 (log.f64 base))) (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base))))))
(+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))))) (+.f64 (.f64 1/720 (/.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base))) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4)))))
(+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))))) (+.f64 (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (pow.f64 re 6) (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 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))))
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (.f64 (pow.f64 im 4) (/.f64 -1/4 (.f64 (pow.f64 re 4) (log.f64 base))))))
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(-.f64 (.f64 im im) (.f64 re (-.f64 re (*.f64 re 2))))
(-.f64 (+.f64 (.f64 re re) (/.f64 (.f64 im im) 2)) (neg.f64 (/.f64 (*.f64 im im) 2)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(-.f64 (/.f64 (.f64 re (neg.f64 re)) -2) (-.f64 (/.f64 (.f64 re re) -2) (*.f64 im im)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(-.f64 (+.f64 (.f64 im im) (/.f64 (.f64 re re) 2)) (neg.f64 (/.f64 (*.f64 re re) 2)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(-.f64 (-.f64 (.f64 re re) (.f64 im im)) (.f64 -2 (.f64 im im)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (+.f64 (.f64 re re) (*.f64 im im)) 1)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 1 (+.f64 (.f64 re re) (*.f64 im im)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 1/2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2) 1/2)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (-.f64 (neg.f64 (.f64 im im)) (*.f64 re re)) -1)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2)) 1/4)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
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(.f64 1/4 (.f64 2 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (+.f64 (.f64 re re) (.f64 im im)) 1)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (.f64 (+.f64 (.f64 re re) (*.f64 im im)) 2) 2)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)) -1)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)) 4)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2)) (.f64 2 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2))) 8)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(/.f64 (+.f64 (.f64 2 (.f64 im (+.f64 im im))) (.f64 2 (.f64 (*.f64 re re) 2))) 4)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) 1)
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(neg.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(fabs.f64 (+.f64 (.f64 re re) (.f64 im im)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(fabs.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	26.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 90 to 17 computations (81.1% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite529.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational_best-simplify-49`
876×	`rational_best-simplify-53`
514×	`rational_best-simplify-65`
496×	`rational_best-simplify-78`
470×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	109
1	121	105
2	300	89
3	1114	89

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

Inputs

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

(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 (.f64 (log.f64 base) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) 2)) (fabs.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) 4) (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 (.f64 (log.f64 base) (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 3) 4) (/.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (log.f64 base) (log.f64 base)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (log.f64 base) 2) 2) (.f64 (.f64 (log.f64 base) 2) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 base) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (log.f64 base)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 0 (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (log.f64 base) (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (log.f64 base)) (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))))
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Outputs

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

simplify226.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational_best-simplify-108`
1352×	`rational_best-simplify-50`
1240×	`rational_best-simplify-1`
996×	`rational_best-simplify-49`
908×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	711	14361
1	2389	14037

Stop Event

1×	node limit

Counts

307 → 388

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6))))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re))))))
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(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 re 6))))))
(*.f64 (log.f64 base) (log.f64 re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6))))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
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(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (neg.f64 (log.f64 base)))) (/.f64 -1/2 (.f64 (log.f64 base) (log.f64 base))))
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(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
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(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (neg.f64 (log.f64 base)))) (/.f64 -1/2 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 (sqrt.f64 base)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 1)
(neg.f64 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))

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

eval218.0ms (1.1%)

Compiler: Compiled 19102 to 8559 computations (55.2% saved)

prune316.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	695	19	714
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	697	19	716

Error

0.3b

Counts

716 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.4b	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
	32.1b	(/.f64 (+.f64 (.f64 (log.f64 im) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
	30.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
▶	32.1b	(/.f64 (log.f64 im) (log.f64 base))
	29.0b	(+.f64 (-.f64 -1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 1)
	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
▶	28.9b	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
	28.8b	(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	28.8b	(.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
	28.8b	(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
	28.8b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
	28.8b	(.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 (.f64 -1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 1 (log.f64 base))))
▶	28.7b	(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (/.f64 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 1 (log.f64 base))))
	28.8b	(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))
	28.8b	(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
▶	28.8b	(.f64 (.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base)))) (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
	28.8b	(.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1/8 (.f64 (log.f64 base) (log.f64 base)))))
	32.1b	(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
	28.8b	(.f64 1 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (log.f64 base))))

Compiler

Compiled 810 to 512 computations (36.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 1 (log.f64 base)))
✓	0.4b	(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (/.f64 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 1 (log.f64 base))))
✓	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
✓	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 109 to 35 computations (67.9% saved)

series106.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
65.0ms	re	@	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
25.0ms	base	@	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
5.0ms	base	@	inf	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
1.0ms	re	@	inf	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
1.0ms	re	@	0	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best-simplify-54`
636×	`rational_best-simplify-80`
626×	`rational_best-simplify-63`
614×	`rational_best-2`
614×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	186
1	146	170
2	383	168
3	1551	124

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

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

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

simplify185.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational_best-simplify-49`
1238×	`rational_best-simplify-53`
1066×	`rational_best-simplify-55`
1048×	`rational_best-simplify-50`
998×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	706	20317
1	2293	19069

Stop Event

1×	node limit

Counts

407 → 607

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series48.0ms (0.2%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
12.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
10.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational_best-simplify-55`
798×	`rational_best-simplify-64`
670×	`rational_best-4`
670×	`rational_best-2`
670×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	53	15
2	120	15
3	359	15
4	1621	15

Stop Event

1×	node limit

Counts

1 → 112

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best-simplify-1`
1060×	`rational_best-simplify-54`
994×	`rational_best-simplify-64`
986×	`rational_best-simplify-65`
712×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3272
1	719	3138
2	2505	2958

Stop Event

1×	node limit

Counts

128 → 149

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
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(+.f64 (-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 im) (.f64 (log.f64 base) -2))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))
(+.f64 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
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(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
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Outputs
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(.f64 (.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) 4)) (/.f64 (/.f64 1 (log.f64 base)) (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) 4)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 im) 4) (/.f64 4 (log.f64 base))) (/.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) 2) 8)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (*.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) (.f64 (log.f64 im) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
✓	0.4b	(-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
✓	0.4b	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 88 to 24 computations (72.7% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	base	@	0	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
0.0ms	re	@	0	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
0.0ms	re	@	inf	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
0.0ms	base	@	inf	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
0.0ms	im	@	inf	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational_best-4`
1366×	`rational_best-2`
1366×	`rational_best-3`
1366×	`rational_best-1`
1366×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	121	96
2	254	88
3	787	84
4	3459	84

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) (+.f64 1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) (-.f64 1 (/.f64 (neg.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) (/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))) (+.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (neg.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (log.f64 base) 4))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2)) 2) 2) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2)) (*.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))))))

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`rational_best-simplify-54`
900×	`rational_best-simplify-64`
782×	`rational_best-simplify-65`
664×	`rational_best-simplify-47`
634×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	9329
1	838	8857
2	2630	8731

Stop Event

1×	node limit

Counts

155 → 265

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
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(.f64 1/2 (+.f64 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)) (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (log.f64 (pow.f64 im 2))) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
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(+.f64 (.f64 1/2 (+.f64 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)) (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
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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 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
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(/.f64 (neg.f64 (.f64 -2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 4)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/4 (log.f64 base))) -1/2)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))
(/.f64 (-.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 0 (log.f64 base))) (*.f64 2 (log.f64 base)))
(/.f64 (-.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 0) (*.f64 2 (log.f64 base)))
(/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 4))) -1/2)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 2) (/.f64 (log.f64 base) 2))
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) 2)) -1/2)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 4)) (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))
(/.f64 (-.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 0 (log.f64 base))) (*.f64 2 (log.f64 base)))
(/.f64 (-.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 0) (*.f64 2 (log.f64 base)))
(/.f64 (neg.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/4 (log.f64 base)))) 1/2)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (neg.f64 (.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) 2))) 1/2)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (*.f64 (log.f64 base) 4)) 1/4)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2) (*.f64 (log.f64 base) 2))
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) 1)
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(neg.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base))))
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(neg.f64 (+.f64 -1 (+.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base))))))
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(+.f64 -1 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) 2))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 1 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 0)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) 1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 0 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) 2) -1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (+.f64 1 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (-.f64 1 (/.f64 (neg.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) 4))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 2)) 2) 2))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (+.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (+.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (+.f64 1 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (-.f64 1 (/.f64 (neg.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(+.f64 (/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 2)) 2) 2) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 -1 (+.f64 -1 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 -1/2 (log.f64 base)))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 1 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 -1/2 (log.f64 base)))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 (+.f64 -1 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 -1/2 (log.f64 base)))) -1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) -2) 1/2)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 1/2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) -2))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2)) 1/4)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 1/4 (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2)))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(/.f64 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(/.f64 (+.f64 -1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) -1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(/.f64 (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) -2)) 4)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(/.f64 (+.f64 (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2)) (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2))) 8)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(pow.f64 (-.f64 1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))) 1)
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(neg.f64 (+.f64 -1 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 -1/2 (log.f64 base)))))
(+.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 2 (log.f64 base))) -1))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -2) 2)
(+.f64 1 (.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))

localize69.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	0.3b	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 46 to 14 computations (69.6% saved)

series47.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	re	@	0	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
12.0ms	base	@	0	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
9.0ms	re	@	-inf	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
8.0ms	re	@	inf	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
1.0ms	base	@	-inf	(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))

rewrite268.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational_best-simplify-1`
826×	`rational_best-simplify-49`
814×	`rational_best-simplify-53`
456×	`rational_best-simplify-65`
454×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	93	54
2	225	38
3	820	38
4	7370	38

Stop Event

1×	node limit

Counts

2 → 289

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2)) (-.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2) 2) (/.f64 (/.f64 (+.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 (neg.f64 re)) 2)) (*.f64 (log.f64 base) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2)) (neg.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) 4)) (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (+.f64 (log.f64 (neg.f64 re)) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2) (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2) (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) 2) 2) (*.f64 2 (*.f64 (log.f64 (neg.f64 re)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (neg.f64 re) (log.f64 base)))))))

simplify193.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-1`
1282×	`rational_best-simplify-108`
1116×	`rational_best-simplify-50`
874×	`rational_best-simplify-49`
840×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	582	7599
1	1832	7419
2	6884	7303

Stop Event

1×	node limit

Counts

337 → 325

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
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(.f64 -1 (.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
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(.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) 2)) (.f64 (*.f64 (log.f64 base) 2) (/.f64 1 (fabs.f64 (log.f64 base)))))
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(.f64 (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base)))))
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(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (neg.f64 re)))))
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(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))
(+.f64 0 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
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(+.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) (/.f64 (.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4))
(+.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4))
(-.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 0)
(-.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2) (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) -2))
(-.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re)))) 4))
(/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)
(/.f64 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) 2)
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4)) 8)
(/.f64 (.f64 (.f64 (.f64 (log.f64 base) 2) 2) (.f64 2 (*.f64 (log.f64 (neg.f64 re)) 2))) 16)
(pow.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)
(log.f64 (pow.f64 (neg.f64 re) (log.f64 base)))

Outputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
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(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(*.f64 (log.f64 base) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))))
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(.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) 2)) (.f64 (*.f64 (log.f64 base) 2) (/.f64 1 (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (neg.f64 (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) 4)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re)))) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (neg.f64 (log.f64 (neg.f64 re)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) (/.f64 -1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) 4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (neg.f64 re)))) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (neg.f64 re)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) (/.f64 -1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 (neg.f64 re)) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (*.f64 (log.f64 (neg.f64 re)) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(+.f64 0 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 0)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2) (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) (/.f64 (.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 0)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 2) (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) -2))
(-.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3) 4) (/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re)))) 4))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) 2)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4) 4)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 2 (.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 4)) 8)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (.f64 (.f64 (log.f64 base) 2) 2) (.f64 2 (*.f64 (log.f64 (neg.f64 re)) 2))) 16)
(/.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) (.f64 2 (.f64 2 (*.f64 (log.f64 base) 2)))) 16)
(/.f64 (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 (neg.f64 re)) 4)) 16)
(pow.f64 (*.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(log.f64 (pow.f64 (neg.f64 re) (log.f64 base)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (neg.f64 (log.f64 base)))
✓	0.3b	(*.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base))))
	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 93 to 25 computations (73.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`rational_best-2`
748×	`rational_best-3`
748×	`rational_best-1`
746×	`rational_best-4`
746×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	66	34
2	156	28
3	528	12
4	3495	12

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (/.f64 -1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 -1/2 (neg.f64 (log.f64 base)))) (neg.f64 (/.f64 -1/2 (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (/.f64 -1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (log.f64 base)) (+.f64 (/.f64 (/.f64 1 (log.f64 base)) 2) 0))))) (#(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 -1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1/2 (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 -1/2 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 -1/2 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 (log.f64 base))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 2 (*.f64 (log.f64 base) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (log.f64 base) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (log.f64 base)))))))

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational_best-simplify-108`
1042×	`rational_best-simplify-62`
784×	`rational_best-simplify-1`
642×	`rational_best-simplify-64`
606×	`rational_best-simplify-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	587
1	148	579
2	344	579
3	1003	579
4	4333	563

Stop Event

1×	node limit

Counts

55 → 36

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
-1
(+.f64 (/.f64 -1 (log.f64 base)) 0)
(+.f64 0 (/.f64 -1 (log.f64 base)))
(+.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (/.f64 -1/2 (log.f64 base))))
(+.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(+.f64 (-.f64 0 (/.f64 -1/2 (neg.f64 (log.f64 base)))) (neg.f64 (/.f64 -1/2 (neg.f64 (log.f64 base)))))
(-.f64 (/.f64 -1 (log.f64 base)) 0)
(-.f64 0 (/.f64 1 (log.f64 base)))
(-.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) 2))
(-.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (/.f64 -1/2 (log.f64 base))))
(-.f64 (/.f64 -1/2 (log.f64 base)) (+.f64 (/.f64 (/.f64 1 (log.f64 base)) 2) 0))
(*.f64 1 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) 1)
(*.f64 -1 (/.f64 1 (log.f64 base)))
(*.f64 2 (/.f64 -1/2 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) -1)
(*.f64 -1/2 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 -2 (log.f64 base)) 1/2)
(*.f64 4 (/.f64 (/.f64 -1/2 (log.f64 base)) 2))
(.f64 -2 (/.f64 1 (.f64 (log.f64 base) 2)))
(*.f64 1/2 (/.f64 -2 (log.f64 base)))
(*.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) 4)
(*.f64 (/.f64 -1/2 (log.f64 base)) 2)
(*.f64 (/.f64 2 (log.f64 base)) -1/2)
(*.f64 (/.f64 4 (neg.f64 (log.f64 base))) 1/4)
(.f64 8 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) -4))))
(.f64 (/.f64 1 (.f64 (log.f64 base) 2)) -2)
(*.f64 1/4 (/.f64 4 (neg.f64 (log.f64 base))))
(.f64 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) -4))) 8)
(pow.f64 (/.f64 -1 (log.f64 base)) 1)
(neg.f64 (/.f64 1 (log.f64 base)))

Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 -1 (log.f64 base))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
-1
(+.f64 (/.f64 -1 (log.f64 base)) 0)
(/.f64 -1 (log.f64 base))
(+.f64 0 (/.f64 -1 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(+.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) (/.f64 -1/2 (log.f64 base))))
(/.f64 -1 (log.f64 base))
(+.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(+.f64 (-.f64 0 (/.f64 -1/2 (neg.f64 (log.f64 base)))) (neg.f64 (/.f64 -1/2 (neg.f64 (log.f64 base)))))
(/.f64 -1 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) 0)
(/.f64 -1 (log.f64 base))
(-.f64 0 (/.f64 1 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(-.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) 2))
(/.f64 -1 (log.f64 base))
(-.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (/.f64 -1/2 (log.f64 base))))
(/.f64 -1 (log.f64 base))
(-.f64 (/.f64 -1/2 (log.f64 base)) (+.f64 (/.f64 (/.f64 1 (log.f64 base)) 2) 0))
(/.f64 -1 (log.f64 base))
(*.f64 1 (/.f64 -1 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) 1)
(/.f64 -1 (log.f64 base))
(*.f64 -1 (/.f64 1 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(*.f64 2 (/.f64 -1/2 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) -1)
(/.f64 -1 (log.f64 base))
(*.f64 -1/2 (/.f64 2 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 -2 (log.f64 base)) 1/2)
(/.f64 -1 (log.f64 base))
(*.f64 4 (/.f64 (/.f64 -1/2 (log.f64 base)) 2))
(/.f64 -1 (log.f64 base))
(.f64 -2 (/.f64 1 (.f64 (log.f64 base) 2)))
(/.f64 -1 (log.f64 base))
(*.f64 1/2 (/.f64 -2 (log.f64 base)))
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 (/.f64 -1/2 (log.f64 base)) 2) 4)
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 -1/2 (log.f64 base)) 2)
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) -1/2)
(/.f64 -1 (log.f64 base))
(*.f64 (/.f64 4 (neg.f64 (log.f64 base))) 1/4)
(/.f64 -1 (log.f64 base))
(.f64 8 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) -4))))
(/.f64 -1 (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 2)) -2)
(/.f64 -1 (log.f64 base))
(*.f64 1/4 (/.f64 4 (neg.f64 (log.f64 base))))
(/.f64 -1 (log.f64 base))
(.f64 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) -4))) 8)
(/.f64 -1 (log.f64 base))
(pow.f64 (/.f64 -1 (log.f64 base)) 1)
(/.f64 -1 (log.f64 base))
(neg.f64 (/.f64 1 (log.f64 base)))
(/.f64 -1 (log.f64 base))

eval901.0ms (4.5%)

Compiler: Compiled 53982 to 28564 computations (47.1% saved)

prune890.0ms (4.5%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1954	26	1980
Fresh	8	6	14
Picked	1	0	1
Done	2	2	4
Total	1965	34	1999

Error

0.2b

Counts

1999 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(/.f64 (+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (pow.f64 (log.f64 base) 2))
	32.1b	(/.f64 (+.f64 (.f64 (log.f64 im) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
▶	30.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	32.1b	(/.f64 (log.f64 im) (log.f64 base))
▶	32.2b	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
	30.4b	(-.f64 (-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) -2))
	32.2b	(+.f64 (-.f64 (.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4))) (neg.f64 (/.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 base) 4))))
	30.5b	(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
	29.0b	(+.f64 (-.f64 -1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 1)
▶	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
	32.2b	(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
✓	28.9b	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
	32.2b	(*.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) 2)) (log.f64 base)) (/.f64 1 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base))))
	30.3b	(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))) (/.f64 1 (log.f64 base))) (neg.f64 (/.f64 1 (log.f64 base))))
	30.3b	(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (log.f64 base))
	32.2b	(.f64 (/.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	30.4b	(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))))
	30.4b	(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (log.f64 base)) (.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re)))))
	32.1b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
	30.4b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
	32.1b	(.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	30.3b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	30.4b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
	30.3b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
	32.1b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	28.8b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
▶	28.7b	(.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))
	28.8b	(.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 (.f64 -1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 1 (log.f64 base))))
	32.1b	(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (*.f64 2 (log.f64 (pow.f64 im -1/2))))
	32.1b	(.f64 (.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
	32.1b	(.f64 (.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base)))) (.f64 -1/2 (/.f64 (.f64 -2 (log.f64 (/.f64 1 im))) (log.f64 base))))
▶	32.1b	(.f64 (log.f64 im) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
	30.4b	(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
	28.8b	(neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 -1/2 (log.f64 base)) (log.f64 base)))))

Compiler

Compiled 1270 to 831 computations (34.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -2 (log.f64 base))
✓	0.3b	(*.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))
✓	0.4b	(.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))
	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 83 to 28 computations (66.3% saved)

series4.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	base	@	-inf	(/.f64 -2 (log.f64 base))
0.0ms	base	@	inf	(/.f64 -2 (log.f64 base))
0.0ms	base	@	0	(/.f64 -2 (log.f64 base))
0.0ms	im	@	inf	(.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))
0.0ms	re	@	-inf	(.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`rational_best-simplify-55`
812×	`rational_best-simplify-65`
756×	`rational_best-simplify-89`
648×	`rational_best-simplify-67`
570×	`rational_best-simplify-108`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	130	97
2	331	87
3	1388	67

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))

(*.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))

(/.f64 -2 (log.f64 base))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2) (/.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))) (/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 0 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2) (/.f64 (neg.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1 (log.f64 base)))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1 (log.f64 base)))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1 (log.f64 base)))) (*.f64 -1 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -1 (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2)) (*.f64 2 (*.f64 (*.f64 1/2 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (log.f64 base)) (/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 -2 (log.f64 base)))) (log.f64 base))) (*.f64 (log.f64 base) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) (/.f64 0 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -2 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (+.f64 -2 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 4) (/.f64 (/.f64 -6 (/.f64 (log.f64 base) (log.f64 base))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 base) -2) (*.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 base) -2) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 (log.f64 base))) (+.f64 -2 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) (/.f64 0 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (-.f64 0 (/.f64 (neg.f64 (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 (neg.f64 (/.f64 -1 (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -6 (/.f64 (log.f64 base) (log.f64 base))) 4) (/.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 base)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 -4 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 2 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (+.f64 2 (/.f64 0 (log.f64 base))) (+.f64 2 (/.f64 0 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 -8 (log.f64 base))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -4) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -8) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 (log.f64 base) 4)) (*.f64 2 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8 (*.f64 (log.f64 base) 4)) (*.f64 4 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (/.f64 -8 (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 base) -4) (*.f64 (log.f64 base) -4)) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 base) -8) (*.f64 (log.f64 base) -8)) (*.f64 2 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 4) (/.f64 -8 (log.f64 base))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -8 (log.f64 base)) (*.f64 (log.f64 base) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 -2 (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 -1 (log.f64 base)) 2) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (+.f64 (neg.f64 (/.f64 -1 (log.f64 base))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (/.f64 (neg.f64 (/.f64 -2 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (/.f64 -1 (log.f64 base)) 2) (/.f64 -1 (log.f64 base))) (-.f64 0 (/.f64 (/.f64 -1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 -4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -16 (/.f64 1 (*.f64 2 (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (log.f64 base)) 1)))))

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational_best-simplify-65`
976×	`rational_best-simplify-64`
898×	`rational_best-simplify-1`
822×	`rational_best-simplify-50`
772×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	6953
1	960	6125
2	3073	5895

Stop Event

1×	node limit

Counts

157 → 225

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base)))
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(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
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-2
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(/.f64 (.f64 (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 -1 (log.f64 base))) 2) -4) (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)))
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(pow.f64 (+.f64 -2 (/.f64 0 (log.f64 base))) 1)
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(*.f64 (/.f64 -8 (log.f64 base)) 1/4)
(.f64 -16 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) 4))))
(pow.f64 (/.f64 -2 (log.f64 base)) 1)

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 7 computations (61.1% saved)

series1.0ms (0%)

Counts

1 → 20

Calls

6 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`rational_best-simplify-64`
842×	`rational_best-simplify-51`
750×	`rational_best-4`
750×	`rational_best-2`
750×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	63	19
2	145	19
3	422	19
4	1855	19

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

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

simplify170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

988×	`rational_best-simplify-3`
948×	`rational_best-simplify-55`
930×	`rational_best-simplify-68`
644×	`rational_best-simplify-53`
606×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	205	2183
1	500	2151
2	1405	2151
3	6298	2151

Stop Event

1×	node limit

Counts

101 → 92

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(+.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) (+.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)))) -1)
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(-.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)
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(-.f64 0 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(-.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)) (*.f64 -2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)) (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2))))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)) (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 4))))
(-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) -4)))
(-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (.f64 (log.f64 base) 4)) (+.f64 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) -4)) 0))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -4)) (-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2))) (-.f64 0 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 4))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) 1) (-.f64 (+.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2))) (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 4))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) (+.f64 1 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)))) (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 4))))
(-.f64 (-.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (.f64 (log.f64 base) 4))) (-.f64 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 (neg.f64 re)) (.f64 2 (/.f64 1/2 (log.f64 base))))
(.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (/.f64 1/2 (log.f64 base)))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (*.f64 1/2 (/.f64 1 (log.f64 base))))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (*.f64 (/.f64 1 (log.f64 base)) 1/2))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (.f64 2 (/.f64 1 (.f64 (log.f64 base) 4))))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (-.f64 (/.f64 1 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(.f64 (neg.f64 (log.f64 (neg.f64 re))) (.f64 -2 (/.f64 1/2 (log.f64 base))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) 2)
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)))
(.f64 2 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2))
(.f64 2 (.f64 (log.f64 (neg.f64 re)) (/.f64 1/2 (log.f64 base))))
(.f64 2 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) (/.f64 1 (.f64 (log.f64 base) 4))))
(.f64 -2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2)) 1/2)
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (/.f64 1 (*.f64 (log.f64 base) 4)))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) 4))))
(*.f64 1/2 (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2)))
(.f64 1/2 (-.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4) (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (.f64 (log.f64 (neg.f64 re)) 2) (log.f64 (neg.f64 re))))
(.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) 2))
(.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 (log.f64 (neg.f64 re)) 2)))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (*.f64 (log.f64 (neg.f64 re)) 4))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (.f64 (.f64 (*.f64 (log.f64 (neg.f64 re)) 2) 4) 1/2))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (-.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (*.f64 (log.f64 (neg.f64 re)) 4)))
(.f64 (.f64 (log.f64 (neg.f64 re)) -2) (-.f64 0 (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4) 1/4)
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (/.f64 1/2 (.f64 (log.f64 base) 4)))
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (.f64 (/.f64 1 (*.f64 (log.f64 base) 4)) 1/2))
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (-.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (/.f64 1/2 (*.f64 (log.f64 base) 4))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 2 (log.f64 base))))
(.f64 4 (.f64 (log.f64 (neg.f64 re)) (/.f64 1 (*.f64 (log.f64 base) 4))))
(.f64 (.f64 (log.f64 (neg.f64 re)) -4) (-.f64 0 (/.f64 1 (*.f64 (log.f64 base) 4))))
(.f64 1/4 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4))
(.f64 1/4 (.f64 (*.f64 (log.f64 (neg.f64 re)) 4) (/.f64 1 (log.f64 base))))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4))
(*.f64 (/.f64 1 (/.f64 2 (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(.f64 (.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 2)))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2)))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (.f64 (log.f64 (neg.f64 re)) 4)))
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))

Outputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(-.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -4)) (-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2))))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base)))
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(.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (/.f64 1/2 (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (*.f64 1/2 (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (*.f64 (/.f64 1 (log.f64 base)) 1/2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (.f64 2 (/.f64 1 (.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 2) (-.f64 (/.f64 1 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (neg.f64 (log.f64 (neg.f64 re))) (.f64 -2 (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)) 2)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 2 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1/2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 2 (.f64 (log.f64 (neg.f64 re)) (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 2 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) (/.f64 1 (.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 -2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) -2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2)) 1/2)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (/.f64 1 (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 1/2 (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 1/2 (-.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4) (/.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) 2))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (.f64 (log.f64 (neg.f64 re)) 2) (log.f64 (neg.f64 re))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) 2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 (neg.f64 re)) 4) (*.f64 (log.f64 (neg.f64 re)) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (*.f64 (log.f64 (neg.f64 re)) 4))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (.f64 (.f64 (*.f64 (log.f64 (neg.f64 re)) 2) 4) 1/2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (-.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (*.f64 (log.f64 (neg.f64 re)) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) -2) (-.f64 0 (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4) 1/4)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (/.f64 1/2 (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (.f64 (/.f64 1 (*.f64 (log.f64 base) 4)) 1/2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4) (-.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (/.f64 1/2 (*.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 2 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 4 (.f64 (log.f64 (neg.f64 re)) (/.f64 1 (*.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) -4) (-.f64 0 (/.f64 1 (*.f64 (log.f64 base) 4))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 1/4 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 4))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 1/4 (.f64 (*.f64 (log.f64 (neg.f64 re)) 4) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 (neg.f64 re)) 2) 4))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (/.f64 2 (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) 2)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (.f64 (log.f64 (neg.f64 re)) 4)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 im) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	0.4b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational_best-2`
1578×	`rational_best-3`
1578×	`rational_best-1`
1576×	`rational_best-4`
596×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	71	60
2	192	60
3	758	26
4	6035	26

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) 3) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1/2 (log.f64 base)) 2) (/.f64 (/.f64 3 (*.f64 (log.f64 base) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (*.f64 (log.f64 base) 2)) 2) (/.f64 (/.f64 -1/2 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 base) 3) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (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 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 1 (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (log.f64 base) 4)) (/.f64 1 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (*.f64 -2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (/.f64 2 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (fabs.f64 (log.f64 base))) (/.f64 1/2 (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))) (/.f64 1/2 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (log.f64 base))) (/.f64 1 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) 2) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 2) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 im) 2)) (*.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) 2)) 2) (*.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (log.f64 im) 2)) (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 im) 2) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 4) (log.f64 im)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (fabs.f64 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(2) ((x /.f64 (+.f64 (*.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) (*.f64 (/.f64 4 (log.f64 base)) (log.f64 im))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) 2)) (*.f64 (log.f64 im) (*.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (*.f64 -2 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 4) (*.f64 2 (*.f64 (log.f64 im) 2))) (*.f64 (*.f64 (log.f64 base) 4) (*.f64 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4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (log.f64 im) 2)) (*.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (log.f64 base)) (*.f64 (log.f64 im) 2)) (*.f64 (*.f64 (log.f64 base) 2) (*.f64 -2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 2 (*.f64 (log.f64 im) 2))) (*.f64 (*.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (log.f64 base)) (*.f64 2 (*.f64 (log.f64 im) 2))) (*.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 base)) (*.f64 2 (*.f64 (log.f64 im) 2))) (*.f64 (*.f64 (log.f64 base) 4) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 2 (*.f64 (log.f64 im) 2))) (*.f64 (*.f64 (log.f64 base) 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 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base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (log.f64 base)) (*.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (*.f64 2 (*.f64 -2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (log.f64 base)) (*.f64 2 (*.f64 (log.f64 im) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (log.f64 im) 2)) (/.f64 4 (log.f64 base))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) 4)) (*.f64 (*.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base)))))))))

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

986×	`rational_best-simplify-108`
918×	`rational_best-simplify-61`
782×	`rational_best-simplify-60`
648×	`rational_best-simplify-55`
590×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	5347
1	1157	4109
2	5088	4037

Stop Event

1×	node limit

Counts

173 → 164

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 1 (log.f64 base)) 0)
(+.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(+.f64 0 (/.f64 1 (log.f64 base)))
(+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(+.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) 4))) (/.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))
(+.f64 (/.f64 (/.f64 1/2 (log.f64 base)) 2) (/.f64 (/.f64 3 (*.f64 (log.f64 base) 2)) 2))
(+.f64 (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base)))
(-.f64 (/.f64 1 (log.f64 base)) 0)
(-.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(-.f64 0 (/.f64 1 (neg.f64 (log.f64 base))))
(-.f64 0 (/.f64 -1 (log.f64 base)))
(-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) 2))
(-.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base)))
(-.f64 (/.f64 0 (neg.f64 (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(-.f64 (/.f64 (/.f64 3 (*.f64 (log.f64 base) 2)) 2) (/.f64 (/.f64 -1/2 (log.f64 base)) 2))
(-.f64 (/.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) (.f64 (log.f64 base) 4))) (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))
(.f64 (log.f64 base) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(.f64 (.f64 (log.f64 base) 2) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (log.f64 base))))
(.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(.f64 (.f64 (log.f64 base) 4) (/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) 4) (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) 4)))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 1 (fabs.f64 (log.f64 base))))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) 2))
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(*.f64 (/.f64 4 (log.f64 base)) 1/4)
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(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) -1)
(*.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
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(.f64 (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) 2)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) 4) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) 4)))
(.f64 (.f64 -1 (/.f64 1 (log.f64 base))) -1)
(.f64 (.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (*.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 -1/2 (log.f64 base)))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 -1 (.f64 (log.f64 base) (log.f64 base))))
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(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))) (/.f64 (/.f64 1 (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))
(-.f64 0 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
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(-.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 2))
(-.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (neg.f64 (log.f64 im)) (.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (/.f64 (/.f64 (log.f64 im) 2) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (log.f64 base)))
(/.f64 (.f64 (log.f64 im) 2) (.f64 (log.f64 base) 2))
(/.f64 (.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 2 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) 2)
(/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) -1)
(/.f64 (/.f64 (log.f64 im) 2) (/.f64 (log.f64 base) 2))
(/.f64 (.f64 2 (.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) 4))
(/.f64 (.f64 2 (.f64 (log.f64 im) 2)) (*.f64 4 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 base) (/.f64 1/2 (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
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(/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) 4)
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) 2) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (.f64 2 (.f64 (log.f64 im) 2)) (log.f64 base)) 4)
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (log.f64 base) 2))
(/.f64 (.f64 (.f64 (log.f64 im) 2) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (log.f64 base)) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))) (*.f64 -2 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 im) 2)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (+.f64 (.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) (.f64 (/.f64 4 (log.f64 base)) (log.f64 im))) 8)
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 im))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2)))
(/.f64 (+.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (.f64 (log.f64 im) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 (+.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (.f64 -2 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 im) 2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
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(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
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(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 im) 2)) (.f64 (.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))))
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(/.f64 (.f64 (/.f64 1 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (log.f64 base))))
(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) (neg.f64 (log.f64 base))))
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(/.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) (neg.f64 (log.f64 base)))
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(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (*.f64 (log.f64 base) 2))
(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (*.f64 -2 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (.f64 2 (*.f64 (log.f64 base) 4)))
(/.f64 (.f64 -1 (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) -2)
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(/.f64 (.f64 (.f64 2 (*.f64 (log.f64 im) 2)) (/.f64 4 (log.f64 base))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (log.f64 im) 2)) (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)))
(/.f64 (.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 4)) 4)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 base (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
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(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
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(/.f64 (+.f64 (log.f64 base) (.f64 (log.f64 base) 3)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (+.f64 1 (/.f64 0 (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
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(-.f64 (/.f64 1 (log.f64 base)) 0)
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(-.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(-.f64 0 (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 0 (/.f64 -1 (log.f64 base)))
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(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (*.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) 4)
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) 2) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 2 (.f64 (log.f64 im) 2)) (log.f64 base)) 4)
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 im) 2) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (log.f64 base)) (*.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))) (*.f64 -2 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (fabs.f64 (log.f64 base))) (*.f64 (fabs.f64 (log.f64 base)) 2))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 im) 2)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (.f64 (/.f64 4 (log.f64 base)) (log.f64 im)) (.f64 (/.f64 4 (log.f64 base)) (log.f64 im))) 8)
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 im))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 2)) (.f64 (log.f64 im) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (.f64 -2 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 im) 2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (.f64 (log.f64 base) 4))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 4 (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) 4))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 im) 2))) (.f64 2 (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (.f64 -2 (log.f64 base)) (log.f64 im)) (.f64 (log.f64 base) (.f64 -2 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 im) 2)) (.f64 (.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 im) 2)) (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 -1 (.f64 (log.f64 im) 2)) (*.f64 -2 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (.f64 -2 (log.f64 base)) (.f64 (log.f64 im) 2)) (.f64 (.f64 (log.f64 base) 2) (.f64 -2 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (/.f64 1 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 -1 (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (*.f64 (log.f64 base) 4) -1))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (.f64 -2 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 2))) (.f64 (.f64 (log.f64 base) 4) (*.f64 -2 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (log.f64 base) 4))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 -2 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -2 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (*.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (*.f64 -2 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (.f64 2 (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 -1 (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) -2)
(/.f64 (*.f64 (/.f64 2 (log.f64 base)) (neg.f64 (log.f64 im))) -2)
(/.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) -2) -2)
(/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (.f64 -2 (log.f64 base)) (.f64 (log.f64 im) (/.f64 2 (log.f64 base)))) (.f64 2 (*.f64 -2 (log.f64 base))))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (/.f64 4 (log.f64 base)) (.f64 2 (*.f64 (log.f64 im) 2))) 16)
(/.f64 (.f64 4 (/.f64 (.f64 (log.f64 im) 4) (log.f64 base))) 16)
(/.f64 (.f64 4 (.f64 (log.f64 im) (/.f64 4 (log.f64 base)))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 (log.f64 im) 2)) (/.f64 4 (log.f64 base))) 16)
(/.f64 (.f64 (/.f64 4 (log.f64 base)) (.f64 2 (*.f64 (log.f64 im) 2))) 16)
(/.f64 (.f64 4 (/.f64 (.f64 (log.f64 im) 4) (log.f64 base))) 16)
(/.f64 (.f64 4 (.f64 (log.f64 im) (/.f64 4 (log.f64 base)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (log.f64 im) 2)) (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 (.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 4)) 4)
(/.f64 (log.f64 im) (.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 base (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base)))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -3/2 (log.f64 base))
✓	0.3b	(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
✓	0.3b	(/.f64 (log.f64 im) (*.f64 (log.f64 base) -2))
✓	0.5b	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))

Compiler

Compiled 48 to 24 computations (50% saved)

series7.0ms (0%)

Counts

4 → 80

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
1.0ms	base	@	-inf	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
1.0ms	im	@	0	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
1.0ms	im	@	inf	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
1.0ms	base	@	-inf	(/.f64 -3/2 (log.f64 base))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`rational_best-4`
1290×	`rational_best-2`
1290×	`rational_best-3`
1290×	`rational_best-1`
1290×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	98	100
2	227	100
3	775	68
4	4263	68

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

Inputs
(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
(/.f64 (log.f64 im) (*.f64 (log.f64 base) -2))
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))

Outputs
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simplify219.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational_best-simplify-61`
1034×	`rational_best-simplify-108`
858×	`rational_best-simplify-49`
834×	`rational_best-simplify-53`
654×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	11981
1	1363	8331
2	6549	8125

Stop Event

1×	node limit

Counts

311 → 346

Calls

Call 1

Inputs
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Outputs
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(+.f64 (/.f64 (-.f64 (.f64 (log.f64 im) (/.f64 -3 (.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4))) 2) (neg.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3/4 (log.f64 base))) 2) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 im) (.f64 (log.f64 base) 8))))
(-.f64 (/.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 base) -8)) (+.f64 (/.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) -8)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (-.f64 (.f64 (log.f64 im) 3) (neg.f64 (log.f64 im))) (.f64 (log.f64 base) -8)) (neg.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) -8)))
(+.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 im) 4) (log.f64 base)) -1/8))
(/.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) 1)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 (*.f64 -3/2 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) (/.f64 -3 (log.f64 base))) 2)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) 4)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) (.f64 (log.f64 im) (/.f64 -6 (log.f64 base)))) 8)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 im) 4) (/.f64 -6 (log.f64 base))) 16)
(/.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (log.f64 base)) (/.f64 1 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (.f64 (log.f64 base) -2)) (/.f64 -1/2 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (.f64 (log.f64 base) -4)) (/.f64 -1/4 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (.f64 (log.f64 base) 2)) (/.f64 1/2 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 -3 (log.f64 base))) (log.f64 base)) (/.f64 2 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3 (log.f64 base))) (.f64 (log.f64 base) -2)) (/.f64 -1 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3 (log.f64 base))) (.f64 (log.f64 base) -4)) (/.f64 -1/2 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -3 (log.f64 base))) (.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) (log.f64 base)) (/.f64 4 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) (.f64 (log.f64 base) -2)) (/.f64 4 (*.f64 (log.f64 base) -2)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) (.f64 (log.f64 base) -4)) (/.f64 -1 (log.f64 base)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 im) (/.f64 -6 (log.f64 base))) (.f64 (log.f64 base) 2)) (/.f64 4 (*.f64 (log.f64 base) 2)))
(-.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) (/.f64 0 (log.f64 base)))
(pow.f64 (*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))) 1)
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(neg.f64 (*.f64 -3/2 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 -3/2 (log.f64 base))))
(+.f64 (/.f64 -3/2 (log.f64 base)) 0)
(/.f64 -3/2 (log.f64 base))
(+.f64 0 (/.f64 -3/2 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(+.f64 (/.f64 -3/4 (log.f64 base)) (/.f64 -3/4 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(-.f64 (/.f64 -3/2 (log.f64 base)) 0)
(/.f64 -3/2 (log.f64 base))
(-.f64 (/.f64 -3/4 (log.f64 base)) (/.f64 (neg.f64 (/.f64 -3/2 (log.f64 base))) 2))
(-.f64 (/.f64 -3/4 (log.f64 base)) (/.f64 (/.f64 -3/2 (log.f64 base)) -2))
(*.f64 -3/2 (/.f64 1 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(*.f64 (/.f64 -3/2 (log.f64 base)) 1)
(/.f64 -3/2 (log.f64 base))
(*.f64 1 (/.f64 -3/2 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(*.f64 -3 (/.f64 1/2 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(*.f64 (/.f64 -3 (log.f64 base)) 1/2)
(/.f64 -3/2 (log.f64 base))
(.f64 -6 (/.f64 1 (.f64 (log.f64 base) 4)))
(/.f64 -3/2 (log.f64 base))
(*.f64 1/2 (/.f64 -3 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) -3/2)
(/.f64 -3/2 (log.f64 base))
(*.f64 (/.f64 1/2 (log.f64 base)) -3)
(/.f64 -3/2 (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) -6)
(/.f64 -3/2 (log.f64 base))
(*.f64 (/.f64 -6 (log.f64 base)) 1/4)
(/.f64 -3/2 (log.f64 base))
(.f64 -12 (/.f64 1 (neg.f64 (.f64 (log.f64 base) -8))))
(.f64 1 (/.f64 -12 (neg.f64 (.f64 (log.f64 base) -8))))
(*.f64 -12 (/.f64 (/.f64 -1/8 (log.f64 base)) -1))
(/.f64 -12 (/.f64 (log.f64 base) 1/8))
(*.f64 1/4 (/.f64 -6 (log.f64 base)))
(/.f64 -3/2 (log.f64 base))
(.f64 (/.f64 1 (neg.f64 (.f64 (log.f64 base) -8))) -12)
(.f64 1 (/.f64 -12 (neg.f64 (.f64 (log.f64 base) -8))))
(*.f64 -12 (/.f64 (/.f64 -1/8 (log.f64 base)) -1))
(/.f64 -12 (/.f64 (log.f64 base) 1/8))
(pow.f64 (/.f64 -3/2 (log.f64 base)) 1)
(/.f64 -3/2 (log.f64 base))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
✓	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 4))
✓	0.7b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 117 to 32 computations (72.6% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	base	@	inf	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
1.0ms	re	@	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 4))
1.0ms	re	@	inf	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
1.0ms	im	@	inf	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
1.0ms	base	@	-inf	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))

rewrite166.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational_best-simplify-1`
892×	`rational_best-simplify-89`
620×	`rational_best-simplify-67`
604×	`rational_best-simplify-65`
506×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	128
1	146	122
2	374	122
3	1395	122
4	7154	122

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs

(+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) -4))

(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4))

Outputs

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simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

944×	`rational_best-simplify-108`
898×	`rational_best-simplify-63`
726×	`rational_best-simplify-69`
712×	`rational_best-simplify-55`
598×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	15367
1	1594	12475
2	5669	12273

Stop Event

1×	node limit

Counts

197 → 302

Calls

Call 1

Inputs
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Outputs
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(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 16)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) (+.f64 1/4 (/.f64 0 (log.f64 base))))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 base) 4) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 16)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) (+.f64 1/4 (/.f64 0 (log.f64 base))))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) 16)) (.f64 (log.f64 base) 4)) (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 16)))
(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)) (+.f64 1/4 (/.f64 0 (log.f64 base))))
(pow.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1/4 (log.f64 base))) 1)
(.f64 1/4 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1/4 (log.f64 base)))
(neg.f64 (neg.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1/4 (log.f64 base)))))
(.f64 1/4 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1/4 (log.f64 base)))

eval796.0ms (4%)

Compiler: Compiled 49402 to 24177 computations (51.1% saved)

prune767.0ms (3.8%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1656	16	1672
Fresh	15	12	27
Picked	0	1	1
Done	2	4	6
Total	1673	33	1706

Error

0.2b

Counts

1706 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
	30.4b	(/.f64 (+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (pow.f64 (log.f64 base) 2))
	28.8b	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) -4) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 -8 (log.f64 base))))
	32.1b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	30.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	32.1b	(/.f64 (log.f64 im) (log.f64 base))
✓	32.2b	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
	32.2b	(+.f64 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
	30.5b	(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
	32.1b	(+.f64 (-.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) 1)
✓	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) -4))
	30.5b	(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 -3/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
✓	28.9b	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
	30.4b	(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))))
	30.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
	32.1b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
	30.4b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
	30.3b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	30.3b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	30.4b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
	30.3b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
▶	32.1b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	28.8b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
	32.1b	(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	60.3b	(*.f64 (log.f64 im) (/.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 base)))))
▶	32.1b	(.f64 (log.f64 im) (+.f64 (/.f64 3/2 (.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base))))
	32.1b	(.f64 (log.f64 im) (.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
	32.1b	(.f64 (log.f64 im) (.f64 (.f64 (.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 -1/2 (log.f64 base))))
▶	30.4b	(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
	28.8b	(neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 -1/2 (log.f64 base)) (log.f64 base)))))
	28.9b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 (+.f64 1/2 (/.f64 0 (log.f64 base))) (log.f64 base))))
	32.1b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Compiler

Compiled 1103 to 733 computations (33.5% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 re re) (.f64 im im))
✓	0.3b	(/.f64 1/2 (log.f64 base))
✓	0.4b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
	27.6b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series3.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	base	@	-inf	(/.f64 1/2 (log.f64 base))
0.0ms	base	@	inf	(/.f64 1/2 (log.f64 base))
0.0ms	base	@	0	(/.f64 1/2 (log.f64 base))
0.0ms	re	@	inf	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
0.0ms	im	@	-inf	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))

rewrite151.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`rational_best-4`
884×	`rational_best-2`
884×	`rational_best-3`
884×	`rational_best-1`
884×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	95	50
2	203	50
3	618	50
4	2331	50

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4) (*.f64 (*.f64 (log.f64 base) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 base) 4) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (*.f64 (log.f64 base) 2) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4)) (*.f64 (*.f64 (log.f64 base) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 4 (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2) 2) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4) 4) (*.f64 4 (*.f64 (*.f64 (log.f64 base) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4) (/.f64 2 (log.f64 base))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (log.f64 base)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2) 1/2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 1/2) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) -2) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) 2) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) 2) (*.f64 1/2 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1/4 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) 4) (/.f64 (/.f64 1/2 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 2 (log.f64 base))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 1/4 (log.f64 base))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) 4) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2) 1/2) (/.f64 (*.f64 (log.f64 base) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2)) (*.f64 (*.f64 (log.f64 base) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4))) (*.f64 (*.f64 (*.f64 (log.f64 base) 4) 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4)) (*.f64 (*.f64 (*.f64 (log.f64 base) 2) 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 2 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4))) (*.f64 (*.f64 (*.f64 (log.f64 base) 4) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (*.f64 (log.f64 base) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 2)) (*.f64 (*.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 4)) (*.f64 (*.f64 (*.f64 (log.f64 base) 2) 4) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) 2))) (*.f64 (*.f64 (log.f64 base) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))))))))

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

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-1`
742×	`rational_best-simplify-63`
694×	`rational_best-simplify-67`
662×	`rational_best-simplify-69`
660×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	5345
1	862	5261
2	3449	5235

Stop Event

1×	node limit

Counts

119 → 169

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 re 2)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/6 (/.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 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 -1/2 (log.f64 (/.f64 1 base)))
(/.f64 -1/2 (log.f64 (/.f64 1 base)))
(/.f64 -1/2 (log.f64 (/.f64 1 base)))
(/.f64 -1/2 (log.f64 (/.f64 1 base)))
(/.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)
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(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)
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(-.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) -4)))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2))
(/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 1)
(/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) 2)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (.f64 (log.f64 base) 4))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (log.f64 base))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4) (.f64 (*.f64 (log.f64 base) 2) 4))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 4)) 1/2)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 base) 2)) 4)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 base) 4) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (.f64 (log.f64 base) 2) 4)) 1/4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4)) (.f64 (.f64 (log.f64 base) 4) 4))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 4 (log.f64 base))) 8)
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 2) (/.f64 (log.f64 base) 2))
(/.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4) 4) (.f64 4 (.f64 (*.f64 (log.f64 base) 2) 4)))
(/.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4) (/.f64 2 (log.f64 base))) 16)
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1/2 (log.f64 base)))
(/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (log.f64 base)) (/.f64 2 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 1/2) (*.f64 (log.f64 base) 4))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) -2) (neg.f64 (log.f64 base)))
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(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (.f64 (log.f64 base) 4)) 2) (.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1 (log.f64 base))) 1/2)
(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1/4 (log.f64 base))) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) 4) (/.f64 (/.f64 1/2 (log.f64 base)) 4))
(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 2 (log.f64 base))) 1/4)
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 1/4 (log.f64 base))) 4)
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) 4) (/.f64 1/4 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 2 (log.f64 base))) 1/2)
(/.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2) (/.f64 (.f64 (log.f64 base) 4) 1/2))
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(/.f64 (.f64 8 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4))) (.f64 (.f64 (.f64 (log.f64 base) 4) 4) 8))
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(/.f64 (.f64 4 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4))) (.f64 (.f64 (.f64 (log.f64 base) 4) 4) 4))
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(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4)) (.f64 (.f64 (.f64 (log.f64 base) 2) 4) (*.f64 (log.f64 base) 2)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) 2))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (*.f64 (log.f64 base) 4))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) 2) 4))
(pow.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 1)
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
(+.f64 (/.f64 1/2 (log.f64 base)) 0)
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(+.f64 (/.f64 1/4 (log.f64 base)) (/.f64 1/4 (log.f64 base)))
(-.f64 (/.f64 1/2 (log.f64 base)) 0)
(-.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) 2))
(*.f64 1/2 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1/2 (log.f64 base)) 1)
(*.f64 1 (/.f64 1/2 (log.f64 base)))
(*.f64 2 (/.f64 1/4 (log.f64 base)))
(.f64 2 (.f64 1/2 (/.f64 1/2 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) 1/2)
(*.f64 (/.f64 1/4 (log.f64 base)) 2)
(*.f64 4 (/.f64 (/.f64 1/2 (log.f64 base)) 4))
(*.f64 (/.f64 2 (log.f64 base)) 1/4)
(*.f64 1/4 (/.f64 2 (log.f64 base)))
(.f64 (.f64 1/2 (/.f64 1/2 (log.f64 base))) 2)
(*.f64 (/.f64 (/.f64 1/2 (log.f64 base)) 4) 4)
(pow.f64 (/.f64 1/2 (log.f64 base)) 1)

Outputs
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1/2 (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1/2 (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1/2 (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1/2 (log.f64 base)))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
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(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))
(*.f64 (log.f64 (pow.f64 im 2)) (/.f64 1/2 (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 (log.f64 (pow.f64 im 2)) (/.f64 1/2 (log.f64 base))) (.f64 1/2 (/.f64 (/.f64 (pow.f64 re 2) (log.f64 base)) (pow.f64 im 2))))
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(+.f64 (.f64 1/2 (+.f64 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)) (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) 4) (/.f64 1/4 (log.f64 base)))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (/.f64 2 (log.f64 base))) 1/2)
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2) (/.f64 (.f64 (log.f64 base) 4) 1/2))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 4 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) (.f64 (.f64 (log.f64 base) 4) 4))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 8 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4))) (.f64 (.f64 (.f64 (log.f64 base) 4) 4) 8))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 8 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4)) (.f64 (.f64 (*.f64 (log.f64 base) 2) 4) 8))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 4 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4))) (.f64 (.f64 (.f64 (log.f64 base) 4) 4) 4))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 4 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (*.f64 (log.f64 base) 2) 4))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 2)))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) 2)))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4)) (.f64 (.f64 (.f64 (log.f64 base) 2) 4) (*.f64 (log.f64 base) 2)))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) 2))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (*.f64 (log.f64 base) 4))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (log.f64 base) 2))) (.f64 (.f64 (log.f64 base) 2) 4))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(pow.f64 (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 1)
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
(+.f64 (/.f64 1/2 (log.f64 base)) 0)
(/.f64 1/2 (log.f64 base))
(+.f64 0 (/.f64 1/2 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(+.f64 (/.f64 1/4 (log.f64 base)) (/.f64 1/4 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(-.f64 (/.f64 1/2 (log.f64 base)) 0)
(/.f64 1/2 (log.f64 base))
(-.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) 2))
(/.f64 1/2 (log.f64 base))
(*.f64 1/2 (/.f64 1 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(*.f64 (/.f64 1/2 (log.f64 base)) 1)
(/.f64 1/2 (log.f64 base))
(*.f64 1 (/.f64 1/2 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(*.f64 2 (/.f64 1/4 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(.f64 2 (.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.f64 1/2 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1/2)
(/.f64 1/2 (log.f64 base))
(*.f64 (/.f64 1/4 (log.f64 base)) 2)
(/.f64 1/2 (log.f64 base))
(*.f64 4 (/.f64 (/.f64 1/2 (log.f64 base)) 4))
(/.f64 1/2 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1/4)
(/.f64 1/2 (log.f64 base))
(*.f64 1/4 (/.f64 2 (log.f64 base)))
(/.f64 1/2 (log.f64 base))
(.f64 (.f64 1/2 (/.f64 1/2 (log.f64 base))) 2)
(/.f64 1/2 (log.f64 base))
(*.f64 (/.f64 (/.f64 1/2 (log.f64 base)) 4) 4)
(/.f64 1/2 (log.f64 base))
(pow.f64 (/.f64 1/2 (log.f64 base)) 1)
(/.f64 1/2 (log.f64 base))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite193.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational_best-simplify-3`
800×	`rational_best-simplify-62`
688×	`rational_best-simplify-49`
658×	`rational_best-simplify-53`
498×	`rational_best-simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	66	26
2	131	26
3	358	26
4	1256	26
5	6673	26

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (/.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (+.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (/.f64 (*.f64 -3 (/.f64 (log.f64 im) -2)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (/.f64 (*.f64 3/2 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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4)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 3 (log.f64 base))) 4) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (/.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (+.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (/.f64 (log.f64 im) -2)) (*.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3/2 (/.f64 (log.f64 im) (log.f64 base))) 2) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 im) 3) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 3 (log.f64 base))) 4) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 2) (*.f64 4 (/.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 1/2) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 1/2) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)) (/.f64 (/.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change 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(log.f64 im) (/.f64 8 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 8) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (/.f64 8 (log.f64 base))) (/.f64 (*.f64 2 (*.f64 (log.f64 base) 8)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 8)) (/.f64 (/.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 4) (/.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 im) 2) 8) (*.f64 2 (*.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (/.f64 (log.f64 im) (log.f64 base))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) 4)) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (log.f64 base))) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 im) 4) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 8 (log.f64 base))) (log.f64 base)) (/.f64 8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 16 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 16 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) -1/4) (*.f64 (log.f64 base) -4))))) (#(struct:change #<rule 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base) 4)) (/.f64 (/.f64 2 (log.f64 base)) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (log.f64 im) 4) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 4)) (/.f64 (/.f64 4 (log.f64 base)) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (/.f64 3/2 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (/.f64 3 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3/2 (log.f64 base)) 2) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3 (log.f64 base)) 4) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (neg.f64 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (neg.f64 (/.f64 1/4 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/2 (log.f64 base)) 2) (neg.f64 (/.f64 1/4 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (log.f64 base)) 4) (/.f64 (/.f64 -1 (log.f64 base)) 4))))) (#(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 2 (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1 (*.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 1/4 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (log.f64 base)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1/2 (*.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (*.f64 2 (*.f64 (log.f64 base) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (log.f64 base)))))))

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational_best-simplify-1`
1276×	`rational_best-simplify-63`
1140×	`rational_best-simplify-108`
968×	`rational_best-simplify-47`
726×	`rational_best-simplify-54`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	3493
1	1184	3415
2	4631	3385

Stop Event

1×	node limit

Counts

179 → 177

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (/.f64 (log.f64 base) 2)))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4))))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (.f64 -3 (/.f64 (log.f64 im) -2)) (*.f64 (log.f64 base) 2)))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (.f64 3/2 (/.f64 (log.f64 im) (log.f64 base))) 2))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (.f64 (log.f64 im) 3) (*.f64 (log.f64 base) 4)))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (.f64 (log.f64 im) (/.f64 3 (log.f64 base))) 4))
(+.f64 (+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))
(+.f64 (/.f64 (.f64 -3 (/.f64 (log.f64 im) -2)) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))
(+.f64 (/.f64 (.f64 3/2 (/.f64 (log.f64 im) (log.f64 base))) 2) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)))
(+.f64 (/.f64 0 (/.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) 4)))
(+.f64 (/.f64 (.f64 (log.f64 im) (/.f64 3 (log.f64 base))) 4) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)))
(-.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(-.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 0 (/.f64 (log.f64 base) 2)))
(-.f64 0 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(-.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)))
(-.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4))))
(-.f64 (+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))
(-.f64 (.f64 3 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))
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(-.f64 (/.f64 (.f64 3/2 (/.f64 (log.f64 im) (log.f64 base))) 2) (/.f64 (log.f64 im) (.f64 (log.f64 base) -4)))
(-.f64 (/.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 base) 4)) (/.f64 (log.f64 im) (*.f64 (log.f64 base) -4)))
(-.f64 (/.f64 (.f64 (log.f64 im) (/.f64 3 (log.f64 base))) 4) (/.f64 (log.f64 im) (.f64 (log.f64 base) -4)))
(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (.f64 (log.f64 im) (/.f64 8 (log.f64 base))) (/.f64 (.f64 2 (.f64 (log.f64 base) 8)) (.f64 (log.f64 base) 2)))
(/.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 8)) (/.f64 (/.f64 (log.f64 base) 2) (.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (log.f64 im) 4) (/.f64 (log.f64 base) 4))
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(/.f64 (/.f64 (.f64 (log.f64 im) 4) 1/2) (/.f64 (.f64 (log.f64 base) 4) 1/2))
(/.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 4 (log.f64 base))) 1/2) 8)
(/.f64 (/.f64 (*.f64 (log.f64 im) 4) (/.f64 (log.f64 base) 2)) 8)
(/.f64 (/.f64 (*.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 2 (log.f64 base))) (log.f64 base))
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(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (log.f64 base))) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 (/.f64 4 (log.f64 base)) (log.f64 base)))
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(/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) 2)) (/.f64 (/.f64 4 (log.f64 base)) (.f64 (log.f64 base) 2)))
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(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (log.f64 base))) (/.f64 1/4 (log.f64 base))) 8)
(/.f64 (+.f64 (.f64 (log.f64 im) (/.f64 8 (log.f64 base))) (.f64 (log.f64 im) (/.f64 8 (log.f64 base)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 im) 4)) (.f64 2 (.f64 (log.f64 im) 4))) (.f64 2 (.f64 (log.f64 base) 8)))
(/.f64 (+.f64 (.f64 16 (/.f64 (log.f64 im) (log.f64 base))) (.f64 16 (/.f64 (log.f64 im) (log.f64 base)))) 32)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 im) 2) 8) (.f64 (.f64 (log.f64 im) 2) 8)) (+.f64 (.f64 2 (.f64 (log.f64 base) 8)) (.f64 2 (.f64 (log.f64 base) 8))))
(/.f64 (+.f64 (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 8 (log.f64 base)))
(/.f64 (.f64 8 (.f64 2 (.f64 (log.f64 im) 4))) (.f64 (*.f64 (log.f64 base) 8) 8))
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(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
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(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) (/.f64 4 (log.f64 base)))) (*.f64 (log.f64 base) 4))
(/.f64 (.f64 (.f64 2 (*.f64 (log.f64 im) 4)) (/.f64 8 (log.f64 base))) 64)
(/.f64 (.f64 (/.f64 8 (log.f64 base)) (.f64 2 (*.f64 (log.f64 im) 4))) 64)
(/.f64 (/.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (log.f64 base))) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 2 (log.f64 base)) (*.f64 (log.f64 base) 4)))
(/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 4 (log.f64 base)) (.f64 (log.f64 base) 4)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(+.f64 (/.f64 1 (log.f64 base)) 0)
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(+.f64 (/.f64 1/4 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))))
(+.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (/.f64 3/2 (log.f64 base)) 2))
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(-.f64 (/.f64 1 (log.f64 base)) 0)
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(-.f64 (/.f64 1/2 (log.f64 base)) (neg.f64 (/.f64 1/2 (log.f64 base))))
(-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 (/.f64 3/2 (log.f64 base)) 2) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 (/.f64 3 (log.f64 base)) 4) (/.f64 (/.f64 -1 (log.f64 base)) 4))
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
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(*.f64 1/2 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(*.f64 (/.f64 1/4 (log.f64 base)) 4)
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(.f64 8 (/.f64 1 (.f64 (log.f64 base) 8)))
(.f64 8 (.f64 (/.f64 1/4 (log.f64 base)) 1/2))
(*.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) 8)) 8)
(*.f64 (/.f64 8 (log.f64 base)) 1/8)
(.f64 16 (/.f64 1/2 (.f64 (log.f64 base) 8)))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) 8))))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(neg.f64 (/.f64 -1 (log.f64 base)))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 im) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 im) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 im) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 im) (/.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 (.f64 -3 (/.f64 (log.f64 im) -2)) (*.f64 (log.f64 base) 2)))
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(/.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (log.f64 base))) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 2 (log.f64 base)) (*.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 4 (log.f64 base)) (.f64 (log.f64 base) 4)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(+.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(+.f64 0 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/4 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (/.f64 3/2 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (/.f64 3 (log.f64 base)) 4))
(/.f64 1 (log.f64 base))
(+.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 (/.f64 3/2 (log.f64 base)) 2) (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 (/.f64 3 (log.f64 base)) 4) (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(-.f64 0 (/.f64 -1 (log.f64 base)))
(neg.f64 (/.f64 -1 (log.f64 base)))
(-.f64 (/.f64 1/2 (log.f64 base)) (neg.f64 (/.f64 1/2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 3/4 (log.f64 base)) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 1/4 (log.f64 base)) (neg.f64 (/.f64 3/4 (log.f64 base))))
(-.f64 (/.f64 (/.f64 3/2 (log.f64 base)) 2) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 3/4 (log.f64 base)) (neg.f64 (/.f64 1/4 (log.f64 base))))
(-.f64 (/.f64 1/4 (log.f64 base)) (neg.f64 (/.f64 3/4 (log.f64 base))))
(-.f64 (/.f64 (/.f64 3 (log.f64 base)) 4) (/.f64 (/.f64 -1 (log.f64 base)) 4))
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(/.f64 1 (log.f64 base))
(*.f64 4 (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/4 (log.f64 base)) 4)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(neg.f64 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(/.f64 1 (log.f64 base))
(.f64 8 (/.f64 1 (.f64 (log.f64 base) 8)))
(/.f64 1 (log.f64 base))
(.f64 8 (.f64 (/.f64 1/4 (log.f64 base)) 1/2))
(/.f64 1 (log.f64 base))
(*.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) 8)) 8)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 8 (log.f64 base)) 1/8)
(/.f64 1 (log.f64 base))
(.f64 16 (/.f64 1/2 (.f64 (log.f64 base) 8)))
(/.f64 1 (log.f64 base))
(.f64 16 (/.f64 1 (.f64 2 (*.f64 (log.f64 base) 8))))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(neg.f64 (/.f64 -1 (log.f64 base)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 3/2 (*.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base)))
✓	0.3b	(/.f64 3/2 (*.f64 (log.f64 base) 2))
✓	0.3b	(/.f64 1/4 (log.f64 base))
✓	0.3b	(.f64 (log.f64 im) (+.f64 (/.f64 3/2 (.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base))))

Compiler

Compiled 51 to 31 computations (39.2% saved)

series4.0ms (0%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	base	@	-inf	(/.f64 3/2 (*.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(/.f64 1/4 (log.f64 base))
0.0ms	base	@	inf	(/.f64 1/4 (log.f64 base))
0.0ms	base	@	inf	(/.f64 3/2 (*.f64 (log.f64 base) 2))
0.0ms	base	@	0	(/.f64 1/4 (log.f64 base))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best-simplify-83`
800×	`rational_best-simplify-48`
718×	`rational_best-simplify-47`
688×	`rational_best-simplify-64`
674×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	105	86
2	221	54
3	590	48
4	1934	48

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

Inputs
(.f64 (log.f64 im) (+.f64 (/.f64 3/2 (.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base))))
(/.f64 1/4 (log.f64 base))
(/.f64 3/2 (*.f64 (log.f64 base) 2))
(+.f64 (/.f64 3/2 (*.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 2) (+.f64 (/.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 2) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (/.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (+.f64 (/.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 2) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base)))) (-.f64 0 (/.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 im) 2) (.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 im) (/.f64 2 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 im) (/.f64 4 (log.f64 base))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (log.f64 im) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 im) 4)) (.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (log.f64 im) (/.f64 4 (log.f64 base)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1/2) (.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (log.f64 im) 2) 1/2) (.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (log.f64 im) 4)) (.f64 2 (.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8 (.f64 2 (.f64 (log.f64 im) 4))) (.f64 (.f64 (log.f64 base) 8) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (log.f64 im) 2)) (.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 8 (.f64 (log.f64 im) 4)) (.f64 (.f64 (log.f64 base) 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 2 (.f64 (log.f64 im) 4))) (.f64 (.f64 (log.f64 base) 4) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (log.f64 im) 4)) (.f64 2 (/.f64 4 (log.f64 base)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (/.f64 4 (log.f64 base))) (.f64 2 (.f64 (log.f64 im) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 2 (.f64 (log.f64 im) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 im) 2) (*.f64 2 (/.f64 4 (log.f64 base)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (log.f64 base)) (/.f64 1/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) (+.f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) (/.f64 1/8 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (neg.f64 (/.f64 1/8 (log.f64 base)))) (neg.f64 (neg.f64 (/.f64 1/8 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (log.f64 base)) (/.f64 (/.f64 -1/4 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/8 (log.f64 base)) (+.f64 (/.f64 (/.f64 -1/4 (log.f64 base)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) (/.f64 1/8 (log.f64 base))) (-.f64 0 (/.f64 1/4 (.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/4 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/4 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/4 (.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (log.f64 base)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (log.f64 base)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1/4 (.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/4 (log.f64 base)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (*.f64 2 (/.f64 4 (log.f64 base))) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/4 (log.f64 base)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/4 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 3/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/8 (log.f64 base)) (/.f64 3/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/8 (log.f64 base)) (neg.f64 (/.f64 -3/8 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (log.f64 base)) (/.f64 5/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3/8 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 3/8 (log.f64 base)) 2) (/.f64 3/8 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 3/4 (log.f64 base)) 4) (+.f64 (/.f64 (/.f64 3/4 (log.f64 base)) 4) (/.f64 3/8 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/4 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -3/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (neg.f64 (/.f64 1/8 (log.f64 base))) (/.f64 1/8 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/8 (log.f64 base)) (/.f64 -3/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/8 (log.f64 base)) (/.f64 (/.f64 -3/2 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/8 (log.f64 base)) (+.f64 (/.f64 (/.f64 -3/2 (log.f64 base)) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/8 (log.f64 base)) (-.f64 (/.f64 (/.f64 -1/4 (log.f64 base)) 2) (/.f64 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(/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 12 (log.f64 base)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 24 (/.f64 1/4 (.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 24 (/.f64 1 (.f64 (.f64 (log.f64 base) 4) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 24 (/.f64 1/2 (.f64 2 (.f64 (log.f64 base) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 4 (log.f64 base))) 3/32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -3/4 (log.f64 base)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/4 (log.f64 base)) (/.f64 -1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/4 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -3/4 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (log.f64 base)) (/.f64 -3/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -3/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (/.f64 (/.f64 -3/2 (log.f64 base)) 4) (/.f64 1/8 (log.f64 base))))))) (#(struct:change 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1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (log.f64 base)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1/8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (+.f64 (/.f64 6 (log.f64 base)) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 6 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 4 (log.f64 base))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (.f64 2 (.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 4 (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 (log.f64 base)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 6 (log.f64 base)) (/.f64 2 (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 6 (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 (log.f64 base)) (neg.f64 (/.f64 6 (log.f64 base)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (log.f64 base)))))))

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best-simplify-65`
1068×	`rational_best-simplify-51`
926×	`rational_best-simplify-54`
824×	`rational_best-simplify-67`
740×	`rational_best-simplify-75`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	3753
1	935	3665
2	2852	3659

Stop Event

1×	node limit

Counts

257 → 227

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1/4 (log.f64 (/.f64 1 base)))
(/.f64 -1/4 (log.f64 (/.f64 1 base)))
(/.f64 -1/4 (log.f64 (/.f64 1 base)))
(/.f64 -1/4 (log.f64 (/.f64 1 base)))
(/.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3/4 (log.f64 base))
(/.f64 3/4 (log.f64 base))
(/.f64 3/4 (log.f64 base))
(/.f64 3/4 (log.f64 base))
(/.f64 -3/4 (log.f64 (/.f64 1 base)))
(/.f64 -3/4 (log.f64 (/.f64 1 base)))
(/.f64 -3/4 (log.f64 (/.f64 1 base)))
(/.f64 -3/4 (log.f64 (/.f64 1 base)))
(/.f64 3/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))
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(-.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
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(pow.f64 (/.f64 1 (log.f64 base)) 1)
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Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(.f64 24 (/.f64 1/2 (.f64 2 (*.f64 (log.f64 base) 8))))
(/.f64 3/4 (log.f64 base))
(.f64 (.f64 2 (/.f64 4 (log.f64 base))) 3/32)
(/.f64 3/4 (log.f64 base))
(.f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) 12)
(/.f64 3/4 (log.f64 base))
(pow.f64 (/.f64 3/4 (log.f64 base)) 1)
(/.f64 3/4 (log.f64 base))
(neg.f64 (/.f64 -3/4 (log.f64 base)))
(/.f64 3/4 (log.f64 base))
(-.f64 (/.f64 3/4 (log.f64 base)) (/.f64 -1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/4 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -3/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/4 (log.f64 base)) (/.f64 -3/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(-.f64 0 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 0 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -3/2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (/.f64 (/.f64 -3/2 (log.f64 base)) 4) (/.f64 1/8 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/8 (log.f64 base)) (/.f64 -5/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/8 (log.f64 base)) (+.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (/.f64 -3/2 (log.f64 base)) 4)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/8 (log.f64 base)) (+.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 (/.f64 -1/4 (log.f64 base)) 2)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/8 (log.f64 base)) (+.f64 (/.f64 -3/8 (log.f64 base)) (/.f64 -1/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3/8 (log.f64 base)) (+.f64 (/.f64 (/.f64 -3/2 (log.f64 base)) 4) (/.f64 -1/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/8 (log.f64 base)) (/.f64 -7/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/8 (log.f64 base)) (+.f64 (/.f64 -3/4 (log.f64 base)) (/.f64 (/.f64 -1/4 (log.f64 base)) 2)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/8 (log.f64 base)) (+.f64 (neg.f64 (/.f64 1/8 (log.f64 base))) (/.f64 -3/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/8 (log.f64 base)) (+.f64 (/.f64 (/.f64 -1/4 (log.f64 base)) 2) (/.f64 -3/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 9/8 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -3/8 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 7/8 (log.f64 base)) (neg.f64 (/.f64 1/8 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 7/8 (log.f64 base)) (/.f64 (/.f64 -1/4 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 5/8 (log.f64 base)) (/.f64 -3/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 5/8 (log.f64 base)) (/.f64 (/.f64 -3/2 (log.f64 base)) 4))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 5/8 (log.f64 base)) (-.f64 (/.f64 (/.f64 -1/4 (log.f64 base)) 2) (/.f64 1/4 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -3/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 (/.f64 3/4 (log.f64 base)) 4) (+.f64 (/.f64 -5/8 (log.f64 base)) (/.f64 (/.f64 -3/4 (log.f64 base)) 4)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 (/.f64 3/8 (log.f64 base)) 2) (/.f64 3/8 (log.f64 base))) (-.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (/.f64 3/8 (log.f64 base)) 2)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 (/.f64 3/4 (log.f64 base)) 4) (/.f64 3/8 (log.f64 base))) (-.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (/.f64 3/4 (log.f64 base)) 4)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 1/4 (.f64 (log.f64 base) 4)) (/.f64 1/8 (log.f64 base))) (-.f64 (/.f64 -3/4 (log.f64 base)) (/.f64 1/4 (.f64 (log.f64 base) 4))))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 3/4 (log.f64 base)) (/.f64 1/2 (log.f64 base))) (/.f64 -3/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 9/8 (log.f64 base)) (/.f64 1/2 (log.f64 base))) (/.f64 -3/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 3/8 (log.f64 base)) (/.f64 -1/2 (log.f64 base))) (neg.f64 (/.f64 1/8 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 3/8 (log.f64 base)) (/.f64 -1/2 (log.f64 base))) (/.f64 (/.f64 -1/4 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 1/8 (log.f64 base)) (/.f64 -1/2 (log.f64 base))) (/.f64 -3/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 (/.f64 3/4 (log.f64 base)) 4) (/.f64 -5/8 (log.f64 base))) (/.f64 (/.f64 -3/4 (log.f64 base)) 4))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 1/8 (log.f64 base)) (neg.f64 (/.f64 1/8 (log.f64 base)))) (/.f64 -3/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 3/4 (log.f64 base)) (/.f64 3/4 (log.f64 base))) (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 1/4 (log.f64 base)) (/.f64 1/4 (log.f64 base))) (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/4 (log.f64 base)) 4)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 -1/4 (log.f64 base)) -4)
(*.f64 -1/4 (/.f64 -4 (log.f64 base)))
(*.f64 4 (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/8 (log.f64 base)) 8)
(/.f64 1 (log.f64 base))
(*.f64 8 (/.f64 1/8 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1/8 (+.f64 (/.f64 6 (log.f64 base)) (/.f64 2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 1/8 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 6 (log.f64 base))))
(/.f64 1 (log.f64 base))
(.f64 (.f64 2 (/.f64 4 (log.f64 base))) 1/8)
(/.f64 1 (log.f64 base))
(/.f64 2 (*.f64 (log.f64 base) 2))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1/4 (log.f64 base)) 1/4)
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 4 (*.f64 (log.f64 base) 4))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) 2)
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 1/2 (log.f64 base)) 1/2)
(/.f64 1 (log.f64 base))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 4 (log.f64 base)) 4)
(/.f64 1 (log.f64 base))
(/.f64 8 (*.f64 (log.f64 base) 8))
(/.f64 1 (log.f64 base))
(/.f64 -2 (*.f64 (log.f64 base) -2))
(/.f64 1 (log.f64 base))
(/.f64 16 (.f64 2 (.f64 (log.f64 base) 8)))
(/.f64 1 (log.f64 base))
(/.f64 (*.f64 2 (/.f64 4 (log.f64 base))) 8)
(/.f64 (*.f64 2 (/.f64 8 (log.f64 base))) 16)
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) 16) 16)
(/.f64 (/.f64 8 (log.f64 base)) 8)
(/.f64 1 (log.f64 base))
(/.f64 (+.f64 (/.f64 6 (log.f64 base)) (/.f64 2 (log.f64 base))) 8)
(/.f64 1 (log.f64 base))
(/.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 6 (log.f64 base))) 8)
(/.f64 1 (log.f64 base))
(/.f64 (-.f64 (/.f64 2 (log.f64 base)) (neg.f64 (/.f64 6 (log.f64 base)))) 8)
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(neg.f64 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 13 computations (67.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite239.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational_best-simplify-78`
860×	`rational_best-simplify-71`
850×	`rational_best-simplify-80`
784×	`rational_best-simplify-69`
774×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	95	40
2	321	40
3	1825	40

Stop Event

1×	node limit

Counts

2 → 483

Calls

Call 1

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

Outputs

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

simplify188.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational_best-simplify-53`
1232×	`rational_best-simplify-49`
1188×	`rational_best-simplify-50`
986×	`rational_best-simplify-79`
650×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	891	17747
1	2760	16159

Stop Event

1×	node limit

Counts

531 → 665

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(.f64 (/.f64 (.f64 (log.f64 base) 2) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) 2)) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (.f64 (log.f64 im) 4) (neg.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 im) 4) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 im) 4) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)) (fabs.f64 (neg.f64 (log.f64 base)))))
(*.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 im) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (log.f64 im) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (.f64 (-.f64 (log.f64 im) (/.f64 0 (log.f64 base))) 2) (neg.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (-.f64 (log.f64 im) (/.f64 0 (log.f64 base))) 2) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (fabs.f64 (log.f64 base))))
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(.f64 (/.f64 (.f64 4 (-.f64 (log.f64 im) (/.f64 0 (log.f64 base)))) (neg.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 4 (-.f64 (log.f64 im) (/.f64 0 (log.f64 base)))) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)) (fabs.f64 (log.f64 base))))
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(.f64 (/.f64 (.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 4) (neg.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (/.f64 4 (log.f64 base))) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 4) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 (log.f64 base) (/.f64 4 (log.f64 base))) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 4) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 (log.f64 base) (/.f64 4 (log.f64 base))) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (log.f64 base)) (*.f64 (/.f64 2 (log.f64 base)) (log.f64 im)))
(.f64 (/.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))) (*.f64 -2 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (/.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 im) 2) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (*.f64 (log.f64 im) 2) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (/.f64 2 (log.f64 base))) (neg.f64 (log.f64 base))) (/.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (/.f64 2 (log.f64 base))) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) 4) (/.f64 2 (log.f64 base))) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (neg.f64 (log.f64 base))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (fabs.f64 (log.f64 base))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (fabs.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (fabs.f64 (neg.f64 (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 1)
(neg.f64 (/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) (log.f64 base)))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 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 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
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(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
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(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
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(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (log.f64 im) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
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(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 im) (log.f64 base))
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(.f64 (/.f64 (.f64 (.f64 (log.f64 base) 4) (log.f64 im)) (fabs.f64 (neg.f64 (log.f64 base)))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (fabs.f64 (neg.f64 (log.f64 base)))))
(.f64 (/.f64 1 (.f64 (log.f64 base) 4)) (/.f64 (/.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (fabs.f64 (neg.f64 (log.f64 base)))) (fabs.f64 (neg.f64 (log.f64 base)))))
(/.f64 (.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) 4)) (/.f64 1/4 (log.f64 base))) (.f64 (fabs.f64 (neg.f64 (log.f64 base))) (fabs.f64 (neg.f64 (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base))) 1)
(/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) (log.f64 base)))
(/.f64 (log.f64 im) (*.f64 (log.f64 base) (log.f64 base)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
✓	0.3b	(/.f64 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base)))
✓	0.3b	(/.f64 2 (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (/.f64 (log.f64 base) 2))

Compiler

Compiled 74 to 35 computations (52.7% saved)

series7.0ms (0%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
1.0ms	base	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
1.0ms	re	@	inf	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
1.0ms	re	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))
1.0ms	base	@	0	(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best-simplify-89`
834×	`rational_best-simplify-52`
686×	`rational_best-simplify-55`
552×	`rational_best-4`
552×	`rational_best-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	118
1	108	118
2	313	86
3	1433	86

Stop Event

1×	node limit

Counts

4 → 259

Calls

Call 1

Inputs
(*.f64 (log.f64 base) (/.f64 (log.f64 base) 2))
(/.f64 2 (log.f64 base))
(/.f64 (/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (/.f64 (neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 base) 8) (.f64 (log.f64 base) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) 8)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (.f64 (log.f64 base) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 2 (log.f64 base)) 2) (/.f64 (/.f64 2 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 2 (log.f64 base)) 2) (+.f64 (/.f64 (/.f64 2 (log.f64 base)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 2 (log.f64 base)) 2) (/.f64 (neg.f64 (/.f64 2 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1 (.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (log.f64 base) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (log.f64 base) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (/.f64 1 (.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (log.f64 base)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (+.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base))) (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (+.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base))) (/.f64 0 (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (+.f64 (/.f64 0 (/.f64 2 (log.f64 base))) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (+.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) (+.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 4)) (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (-.f64 (/.f64 (/.f64 0 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simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational_best-simplify-55`
1272×	`rational_best-simplify-50`
1150×	`rational_best-simplify-53`
1086×	`rational_best-simplify-49`
1020×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	9169
1	1737	8961

Stop Event

1×	node limit

Counts

327 → 311

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
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(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 2)))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 2)))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base)))))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (neg.f64 (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 2)))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 2) 0))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 2) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))
(-.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (+.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (/.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))))
(*.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 1)
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 2 (log.f64 base)))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) 1/2)))
(.f64 1 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4)) 1/2)
(.f64 (.f64 2 (log.f64 (neg.f64 re))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 (neg.f64 re)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 1 (log.f64 base)))
(.f64 (.f64 (log.f64 (neg.f64 re)) 4) (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) 2) (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) 1/4)))
(.f64 (.f64 2 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) 1/4))) 1/4)
(.f64 (/.f64 1 (log.f64 base)) (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(.f64 (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))) (log.f64 (neg.f64 re)))
(.f64 (/.f64 1 (.f64 (log.f64 base) 1/2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 2 (log.f64 (neg.f64 re))))
(.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 (neg.f64 re)) 4))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 4) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))
(.f64 1/2 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4)))
(.f64 (/.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 (/.f64 1/2 (log.f64 base)) 1/2)))
(.f64 (/.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))))
(.f64 (/.f64 (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) 1/2)))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (log.f64 (neg.f64 re))) (/.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 2 (log.f64 (neg.f64 re)))) (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 1/2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4))) (/.f64 1/2 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 1 (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(pow.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 1)

Outputs
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
(*.f64 1/2 (pow.f64 (log.f64 base) 2))
(*.f64 1/2 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 1/2 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 1/2 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 1/2 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 2 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (log.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (pow.f64 (log.f64 base) 2)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (pow.f64 (log.f64 base) 2)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (pow.f64 (log.f64 base) 2)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (pow.f64 (log.f64 base) 2)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(*.f64 2 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)))
(+.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 0)
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
(+.f64 0 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2))
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) 0))
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 0)
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) 2) (/.f64 (neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) 2))
(.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))
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(.f64 (.f64 2 (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 1/2 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 (/.f64 1/2 (log.f64 base)) 1/2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) 1/2)))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (log.f64 (neg.f64 re))) (/.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 2 (log.f64 (neg.f64 re)))) (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 (log.f64 (neg.f64 re)) 4)) (/.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 1 (.f64 (log.f64 base) 1/2)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) 1/4))) (/.f64 1/2 (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 1/2)) (.f64 2 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 1 (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) 1/2))))
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 1)
(.f64 2 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))))

eval933.0ms (4.7%)

Compiler: Compiled 38445 to 18583 computations (51.7% saved)

prune706.0ms (3.5%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	1889	6	1895
Fresh	4	19	23
Picked	1	0	1
Done	2	7	9
Total	1896	32	1928

Error

0.2b

Counts

1928 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(/.f64 (+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (pow.f64 (log.f64 base) 2))
	28.8b	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) -4) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 -8 (log.f64 base))))
	32.1b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	30.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	32.1b	(/.f64 (log.f64 im) (log.f64 base))
✓	32.2b	(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
	32.2b	(+.f64 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
	30.5b	(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
	32.1b	(+.f64 (-.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) 1)
✓	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
	28.9b	(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) -4))
	30.5b	(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 -3/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
✓	28.9b	(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
	30.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
	32.1b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
	30.4b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
	30.3b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	32.1b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 -2 (*.f64 (log.f64 base) (/.f64 1/2 (neg.f64 (log.f64 base))))))
	30.3b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	30.4b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
	30.3b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
✓	32.1b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	28.8b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
	60.3b	(*.f64 (log.f64 im) (/.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 base)))))
	32.2b	(*.f64 (log.f64 im) (-.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
	32.1b	(.f64 (log.f64 im) (.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
	30.4b	(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 1/2 (pow.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
	30.4b	(.f64 1 (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 1/2)) (/.f64 2 (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 8 (log.f64 base))))))
	30.3b	(.f64 1 (.f64 1 (/.f64 (log.f64 (neg.f64 re)) (/.f64 8 (/.f64 8 (log.f64 base))))))
	28.8b	(neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 -1/2 (log.f64 base)) (log.f64 base)))))
	28.9b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
	32.1b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Compiler

Compiled 578 to 396 computations (31.5% saved)

regimes724.0ms (3.6%)

Counts

70 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(+.f64 (-.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) 1)
(+.f64 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1 (.f64 1 (/.f64 (log.f64 (neg.f64 re)) (/.f64 8 (/.f64 8 (log.f64 base))))))
(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
(+.f64 (-.f64 -1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(*.f64 (log.f64 im) (-.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (*.f64 2 (log.f64 (pow.f64 im -1/2))))
(.f64 (log.f64 im) (+.f64 (/.f64 3/2 (.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base))))
(.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 im) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 im) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 -2 (*.f64 (log.f64 base) (/.f64 1/2 (neg.f64 (log.f64 base))))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (log.f64 base)) (.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re)))))
(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 1/2 (pow.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
(.f64 (log.f64 im) (.f64 (.f64 (.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 -1/2 (log.f64 base))))
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 (+.f64 1/2 (/.f64 0 (log.f64 base))) (log.f64 base))))
(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))) (/.f64 1 (log.f64 base))) (neg.f64 (/.f64 1 (log.f64 base))))
(.f64 (log.f64 im) (.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 -3/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 -1/2 (log.f64 base)) (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base)))) (.f64 -1/2 (/.f64 (.f64 -2 (log.f64 (/.f64 1 im))) (log.f64 base))))
(.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1/8 (.f64 (log.f64 base) (log.f64 base)))))
(.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) -4) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 -8 (log.f64 base))))
(.f64 (.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base)))) (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
(.f64 1 (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) 4) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (/.f64 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (/.f64 1 (log.f64 base))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 base)))) (/.f64 (.f64 -1/2 (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 1 (log.f64 base))))
(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) -4))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 base)))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) 2)) (log.f64 base)) (/.f64 1 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(+.f64 (-.f64 (.f64 (log.f64 im) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 im) (.f64 (log.f64 base) 4))) (neg.f64 (/.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 base) 4))))
(-.f64 (-.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) 3) (.f64 (log.f64 base) 2)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) -2))
(/.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 1 (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) 1/2)) (/.f64 2 (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 8 (log.f64 base))))))
(+.f64 (.f64 3 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 4))) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) -4))
(.f64 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base))))

Outputs

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

(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (/.f64 -2 (log.f64 base)) (log.f64 base))))

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

Calls

5 calls:

244.0ms	base
240.0ms	(log.f64 base)
84.0ms	im
84.0ms	re
51.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
4.9b	3	`re`
4.8b	3	`im`
22.5b	8	`base`
13.3b	3	`(/.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)))`
22.5b	8	`(log.f64 base)`

Compiler

Compiled 1227 to 474 computations (61.4% saved)

bsearch46.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.592627833280364e+69	8.982313448798873e+70
27.0ms	3.587133144487136e-161	1.0238973210502707e-156

Results

42.0ms

224×

body

256

valid

Compiler

Compiled 533 to 367 computations (31.1% saved)

regimes735.0ms (3.7%)

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(+.f64 (-.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) 1)
(+.f64 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1 (.f64 1 (/.f64 (log.f64 (neg.f64 re)) (/.f64 8 (/.f64 8 (log.f64 base))))))
(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
(+.f64 (-.f64 -1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(*.f64 (log.f64 im) (-.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -1) (*.f64 2 (log.f64 (pow.f64 im -1/2))))
(.f64 (log.f64 im) (+.f64 (/.f64 3/2 (.f64 (log.f64 base) 2)) (/.f64 1/4 (log.f64 base))))
(.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 im) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 im) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) -2)) (.f64 (log.f64 im) (/.f64 -3/2 (log.f64 base))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 -2 (*.f64 (log.f64 base) (/.f64 1/2 (neg.f64 (log.f64 base))))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 (/.f64 1 (neg.f64 (log.f64 base))) (log.f64 base)) (.f64 (log.f64 base) (neg.f64 (log.f64 (neg.f64 re)))))
(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 1/2 (pow.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
(.f64 (log.f64 im) (.f64 (.f64 (.f64 -2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 -1/2 (log.f64 base))))
(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 (+.f64 1/2 (/.f64 0 (log.f64 base))) (log.f64 base))))
(.f64 1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (.f64 (log.f64 base) (/.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base))))
(*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))) (/.f64 1 (log.f64 base))) (neg.f64 (/.f64 1 (log.f64 base))))
(.f64 (log.f64 im) (.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 -3/2 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(neg.f64 (.f64 (log.f64 base) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 -1/2 (log.f64 base)) (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (/.f64 1 (neg.f64 (log.f64 base)))) (.f64 -1/2 (/.f64 (.f64 -2 (log.f64 (/.f64 1 im))) (log.f64 base))))
(.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1/8 (.f64 (log.f64 base) (log.f64 base)))))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Calls

4 calls:

318.0ms	base
173.0ms	(log.f64 base)
130.0ms	im
98.0ms	re

Results

Error	Segments	Branch
4.9b	3	`re`
4.8b	3	`im`
22.5b	8	`base`
22.5b	8	`(log.f64 base)`

Compiler

Compiled 705 to 293 computations (58.4% saved)

bsearch46.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.1082635987147977e+73	1.999514083692631e+76
22.0ms	2.657370346683533e-163	3.587133144487136e-161

Results

43.0ms

240×

body

256

valid

Compiler

Compiled 435 to 318 computations (26.9% saved)

regimes971.0ms (4.9%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Calls

4 calls:

624.0ms	base
142.0ms	im
97.0ms	(log.f64 base)
22.0ms	re

Results

Error	Segments	Branch
5.0b	3	`re`
4.8b	3	`im`
22.6b	8	`base`
22.6b	8	`(log.f64 base)`

Compiler

Compiled 177 to 96 computations (45.8% saved)

bsearch177.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
132.0ms	6.592627833280364e+69	8.982313448798873e+70
45.0ms	2.657370346683533e-163	3.587133144487136e-161

Results

60.0ms

208×

body

256

valid

Compiler

Compiled 394 to 291 computations (26.1% saved)

regimes422.0ms (2.1%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(*.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 base)))
(+.f64 (-.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) 1)
(+.f64 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (-.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))) 1)
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 1 (.f64 1 (/.f64 (log.f64 (neg.f64 re)) (/.f64 8 (/.f64 8 (log.f64 base))))))
(+.f64 -1 (-.f64 1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))))
(+.f64 (-.f64 -1 (.f64 -1/2 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))) 1)

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))

Calls

4 calls:

231.0ms	base
109.0ms	(log.f64 base)
54.0ms	re
23.0ms	im

Results

Error	Segments	Branch
5.0b	3	`re`
4.8b	3	`im`
21.5b	11	`base`
21.5b	11	`(log.f64 base)`

Compiler

Compiled 158 to 86 computations (45.6% saved)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	6.592627833280364e+69	8.982313448798873e+70
22.0ms	2.657370346683533e-163	3.587133144487136e-161

Results

38.0ms

208×

body

256

valid

Compiler

Compiled 394 to 291 computations (26.1% saved)

regimes209.0ms (1%)

Accuracy

Total -53.4b remaining (-676.6%)

Threshold costs -53.4b (-676.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

98.0ms	base
82.0ms	(log.f64 base)
15.0ms	im
11.0ms	re

Results

Error	Segments	Branch
8.2b	2	`re`
7.9b	2	`im`
22.7b	9	`base`
22.7b	9	`(log.f64 base)`

Compiler

Compiled 97 to 57 computations (41.2% saved)

bsearch61.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
60.0ms	8.92600287345635e-53	1.0689039084435443e-49

Results

59.0ms

128×

body

256

valid

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	470

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 im 3215295219150359/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 45999999999999998738959450952678240728244141392812459097620300601229312) (.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base)))) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 2089447231644787/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 2999999999999999980486599061817381213271671188243728977063313482190191329280) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 5571859284386099/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 11000000000000000031598029763877157208568604930957149701330750618468352) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 6078391946603017/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 88000000000000000252784238111017257668548839447657197610646004947746816) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))
(if (<=.f64 im 6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(if (<=.f64 im 3215295219150359/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 45999999999999998738959450952678240728244141392812459097620300601229312) (.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 -2 (log.f64 base)) (log.f64 base)))) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 2089447231644787/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 2999999999999999980486599061817381213271671188243728977063313482190191329280) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 5571859284386099/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 11000000000000000031598029763877157208568604930957149701330750618468352) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 6078391946603017/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 88000000000000000252784238111017257668548839447657197610646004947746816) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))
(if (<=.f64 im 6845298958456217/105312291668557186697918027683670432318895095400549111254310977536) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 181 to 117 computations (35.4% saved)

soundness531.0ms (2.7%)

Algorithm

5×	egg-herbie

Rules

1342×	`rational_best-simplify-49`
1300×	`rational_best-simplify-55`
1300×	`rational_best-simplify-55`
1300×	`rational_best-simplify-55`
1238×	`rational_best-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	43	63
2	103	53
3	255	43
4	796	43
5	4578	37
0	383	7893
1	1017	7593
2	2750	7581
0	21	81
1	43	63
2	103	53
3	255	43
4	796	43
5	4578	37
0	706	20317
1	2293	19069
0	21	81
1	43	63
2	103	53
3	255	43
4	796	43
5	4578	37

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1240 to 427 computations (65.6% saved)

end73.0ms (0.4%)

Compiler: Compiled 256 to 127 computations (50.4% saved)