Details

analyze392.0ms (2.6%)

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
33.3%	25%	49.9%	0.1%	0%	25%	0%	7
33.3%	25%	49.9%	0.1%	0%	25%	0%	8
33.3%	25%	49.9%	0.1%	0%	25%	0%	9
60%	37.4%	25%	0.1%	0%	37.4%	0%	10
60%	37.4%	25%	0.1%	0%	37.4%	0%	11
60%	37.4%	25%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample3.1s (20.6%)

Results

2.5s	8256×	body	256	valid
589.0ms	1983×	body	256	invalid

Bogosity

preprocess103.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1758×	`rational.json-simplify-19`
1722×	`rational.json-simplify-35`
970×	`rational.json-simplify-40`
704×	`rational.json-simplify-38`
694×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	172
1	97	148
2	163	148
3	407	148
4	1939	148
5	6100	148
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational.json-simplify-51`
1426×	`rational.json-simplify-49`
1292×	`rational.json-simplify-46`
1094×	`rational.json-simplify-1`
698×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	36	37
2	61	37
3	153	37
4	779	37
5	4504	37
6	7579	37

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 93 to 31 computations (66.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.2b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	0.3b	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
▶	0.4b	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))

Status

Error

Program

▶

0.4b

(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))

▶

0.3b

(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))

▶

0.4b

(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))

Compiler

Compiled 45 to 24 computations (46.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (atan2.f64 im re) (/.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 36 to 8 computations (77.8% saved)

series103.0ms (0.7%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
46.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
20.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
14.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
13.0ms	im	@	0	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
5.0ms	re	@	0	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational.json-simplify-35`
1194×	`bool.json-1`
1194×	`bool.json-2`
1172×	`rational.json-1`
1172×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	122	77
2	367	43
3	1041	43
4	3430	43

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

Inputs
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))

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

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(atan2.f64 im re) (*.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (*.f64 2 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (*.f64 2 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`rational.json-simplify-2`
1170×	`rational.json-simplify-35`
1092×	`rational.json-simplify-61`
1058×	`rational.json-simplify-40`
698×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	5372
1	1108	5276
2	5361	5120

Stop Event

1×	node limit

Counts

238 → 216

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 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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) 0)
(+.f64 0 (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) 0)
(-.f64 0 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 base)) 1)
(/.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) 2)
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 2 (.f64 2 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) 4) (.f64 2 (/.f64 2 (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 4)) 4)
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 4)) (+.f64 (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (fabs.f64 (log.f64 base)) (/.f64 1 (fabs.f64 (log.f64 base))))
(/.f64 (fabs.f64 (log.f64 base)) (/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (fabs.f64 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))) -1)
(/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))) (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4))) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 4 (.f64 2 (.f64 2 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 4 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 4 (/.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 2 (neg.f64 (log.f64 base))) (+.f64 (/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (log.f64 base) (.f64 (log.f64 base) 2)))
(/.f64 (.f64 2 (/.f64 2 (log.f64 base))) (+.f64 (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 2 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 2 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) 8)
(/.f64 (.f64 2 (.f64 (log.f64 base) (neg.f64 (log.f64 base)))) -2)
(/.f64 (.f64 2 (.f64 (log.f64 base) (neg.f64 (log.f64 base)))) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))) (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))) (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 -2 (+.f64 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 2 (fabs.f64 (log.f64 base))) (.f64 2 (/.f64 1 (fabs.f64 (log.f64 base)))))
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(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (*.f64 2 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))
(/.f64 (+.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (*.f64 2 (neg.f64 (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)

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)
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(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
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(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)
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(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
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(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))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(.f64 (log.f64 base) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
(log.f64 (pow.f64 base (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 base (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (log.f64 base) 2) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 base) 2) (+.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 2 (/.f64 (*.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 2 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (log.f64 base) 4) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (atan2.f64 im re))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (/.f64 (*.f64 (log.f64 base) 4) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (+.f64 (/.f64 (.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (log.f64 base))) (+.f64 (/.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (atan2.f64 im re)) (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))) (atan2.f64 im re))))
(.f64 (neg.f64 (log.f64 base)) (/.f64 2 (+.f64 (.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))
(/.f64 (.f64 (log.f64 base) -2) (+.f64 (.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))))
(/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) 4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 2 (/.f64 2 (log.f64 base))) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))))
(*.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 -2 (+.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 8 (+.f64 (/.f64 (.f64 (log.f64 base) 4) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) 4) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 base)) 4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (+.f64 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 2 (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) 16)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base))) 8)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2))) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (*.f64 2 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))
(/.f64 (/.f64 (+.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) 2) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(/.f64 (+.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (*.f64 2 (neg.f64 (log.f64 base))))
(/.f64 (+.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (*.f64 (log.f64 base) -2))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series2.0ms (0%)

Counts

3 → 80

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	base	@	0	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
0.0ms	im	@	-inf	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`bool.json-1`
1280×	`bool.json-2`
1256×	`rational.json-1`
1256×	`rational.json-2`
1256×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	123	61
2	378	41
3	1054	41
4	3940	41

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan2.f64 im re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 base) 4) (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (.f64 2 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (.f64 (.f64 2 (/.f64 1 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (*.f64 2 (neg.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base))) (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (/.f64 1/2 (log.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (*.f64 2 (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (*.f64 (log.f64 base) 2))) (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) 1/2) (/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) 2) -1/2) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 2) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-2`
1290×	`rational.json-simplify-54`
1116×	`rational.json-simplify-35`
924×	`rational.json-simplify-44`
916×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	4864
1	1028	4708
2	4835	4632

Stop Event

1×	node limit

Counts

276 → 162

Calls

Call 1

Inputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (atan2.f64 im re) 0)
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(/.f64 (atan2.f64 im re) 1)
(/.f64 1 (/.f64 1 (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) 2) 2)
(/.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(/.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(/.f64 2 (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))
(/.f64 2 (/.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (log.f64 base)))
(/.f64 2 (.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (/.f64 1 (log.f64 base))))
(/.f64 2 (/.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 2 (/.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2))))
(/.f64 (.f64 (log.f64 base) 4) (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (.f64 2 (/.f64 1 (log.f64 base))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 2 (log.f64 base)))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (.f64 (*.f64 2 (/.f64 1 (log.f64 base))) 1))
(/.f64 (*.f64 (atan2.f64 im re) 4) 4)
(/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 base)) (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) -1)
(/.f64 -1 (/.f64 (log.f64 base) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 2 (/.f64 1 (log.f64 base)))))
(/.f64 4 (/.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (+.f64 (.f64 2 (/.f64 1 (log.f64 base))) (*.f64 2 (/.f64 1 (log.f64 base)))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (.f64 4 (/.f64 1 (log.f64 base))))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) 8)
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (.f64 (.f64 2 (*.f64 (log.f64 base) 4)) (/.f64 1 (log.f64 base))))
(/.f64 (*.f64 2 (neg.f64 (atan2.f64 im re))) -2)
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(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base)) (.f64 4 (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (*.f64 -1 (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 0 (/.f64 1 (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base)) (*.f64 (log.f64 base) 4))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (.f64 (neg.f64 (*.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (/.f64 1/2 (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 1/2 (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 2) (*.f64 -1/2 (/.f64 1 (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) 2))
(/.f64 (+.f64 (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2)) (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 base) 4))
(/.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 4) (log.f64 base))) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (+.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (*.f64 2 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 base) 4) (/.f64 (log.f64 base) (atan2.f64 im re))) 4)
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Outputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
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(atan2.f64 im re)
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(atan2.f64 im re)
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(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
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(.f64 (/.f64 (.f64 (log.f64 base) 2) (neg.f64 (.f64 (log.f64 base) 2))) (/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) 2)))
(.f64 (/.f64 (log.f64 base) (.f64 2 (neg.f64 (log.f64 base)))) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 2 (log.f64 base))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 base) 2) 1/2) (/.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (.f64 (log.f64 base) 2) -1/2) (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) 2) (*.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (/.f64 (log.f64 base) -1/2)) (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (.f64 2 (.f64 (log.f64 base) 2))))
(.f64 (.f64 (log.f64 base) -4) (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) 4)))
(.f64 (.f64 (log.f64 base) -4) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) -4)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	re	@	-inf	(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`bool.json-1`
1874×	`bool.json-2`
1622×	`bool.json-3`
654×	`rational.json-simplify-49`
620×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	124	54
2	400	54
3	1258	34
4	5764	34

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 (pow.f64 base (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (*.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (*.f64 1/2 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)) (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.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)) (log.f64 base)) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (*.f64 (atan2.f64 im re) (/.f64 2 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational.json-simplify-51`
860×	`rational.json-simplify-43`
816×	`rational.json-simplify-53`
728×	`rational.json-simplify-55`
634×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2628
1	370	2604
2	1001	2598
3	3711	2598

Stop Event

1×	node limit

Counts

132 → 81

Calls

Call 1

Inputs
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 0 (*.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2)) 2)
(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4)) 4)
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4))) 8)
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 1)
(log.f64 (pow.f64 base (atan2.f64 im re)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (*.f64 (log.f64 base) 2)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (neg.f64 (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 (pow.f64 base (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)))
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Outputs
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 base)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (.f64 (log.f64 base) (log.f64 base)))) (.f64 (log.f64 base) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))) (*.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 base)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 base))))
(.f64 (.f64 (log.f64 base) 1/2) (.f64 (atan2.f64 im re) (/.f64 2 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (log.f64 base) 1/2) (/.f64 (.f64 (log.f64 base) 2) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 base)) 1/2))
(.f64 (atan2.f64 im re) (.f64 1/2 (/.f64 2 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 base (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))

eval110.0ms (0.7%)

Compiler: Compiled 11961 to 3648 computations (69.5% saved)

prune208.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	545	21	566
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	548	21	569

Error

0.0b

Counts

569 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.5b	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
	0.5b	(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) (log.f64 base))
	0.6b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
▶	0.4b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.5b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
▶	0.9b	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))
	0.9b	(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
	0.8b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.4b	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	0.4b	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
	0.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base)))
	0.5b	(.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))) (*.f64 (log.f64 base) 2))
	0.6b	(.f64 (.f64 (log.f64 base) 2) (.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (/.f64 1 (log.f64 base))))
▶	0.3b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))

Compiler

Compiled 726 to 424 computations (41.6% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (/.f64 1 base))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series42.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
7.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
6.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`rational.json-simplify-35`
680×	`rational.json-simplify-1`
648×	`bool.json-1`
648×	`bool.json-2`
628×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	130	34
2	386	34
3	855	34
4	2032	34
5	6462	34

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 (/.f64 1 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 2 (*.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (*.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 (/.f64 1 base))) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 base)) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 1 base)) 1/2) (*.f64 (log.f64 (/.f64 1 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (/.f64 1 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (/.f64 1 base) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (/.f64 1 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 1 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 1 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 base)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 base)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 1 base)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (/.f64 1 base)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))))

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-39`
1488×	`rational.json-simplify-51`
1144×	`rational.json-simplify-2`
900×	`rational.json-simplify-53`
578×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	188	2749
1	422	2585
2	2272	2567
3	4575	2567
4	7111	2435

Stop Event

1×	node limit

Counts

107 → 119

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) 1/2))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(.f64 (log.f64 (/.f64 1 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 (/.f64 1 base))))
(.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) 4)))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1 (.f64 (log.f64 (/.f64 1 base)) 4)) 1))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base)))))
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) 1))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) 1))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 2 (.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1 (.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4) 1/4)
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 8)))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))
(.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 2))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) -2)))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))
(.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) -1)
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 (/.f64 1 base)) 2) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) 2)
(.f64 (.f64 (log.f64 (/.f64 1 base)) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 1/2))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))
(.f64 (/.f64 1 (.f64 (log.f64 (/.f64 1 base)) 4)) (*.f64 (atan2.f64 im re) 4))
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 (/.f64 1 base))))
(.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 (/.f64 1 base))) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 base)) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(neg.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (.f64 (log.f64 (/.f64 1 base)) 2))))
(+.f64 (log.f64 (/.f64 1 base)) 0)
(+.f64 0 (log.f64 (/.f64 1 base)))
(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 1 base)))))
(+.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) (.f64 (log.f64 (/.f64 1 base)) 1/2))
(-.f64 (log.f64 (/.f64 1 base)) 0)
(-.f64 0 (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 1 (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 (/.f64 1 base)) 1)
(.f64 2 (.f64 (log.f64 (/.f64 1 base)) 1/2))
(*.f64 2 (log.f64 (pow.f64 (/.f64 1 base) 1/2)))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (/.f64 1 base)) 4))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 4) 1/4)
(*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 8) 1/8)
(.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 base)) 4))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) 2)
(/.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (/.f64 1 base)) 1)
(/.f64 2 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 4) 4)
(/.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(/.f64 -1 (/.f64 -1 (log.f64 (/.f64 1 base))))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 8) 8)
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) -2) -2)
(/.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2)) -2)
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 base)) 8)) 16)
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) -2)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 1)
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))

Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (log.f64 (/.f64 1 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (log.f64 (/.f64 1 base)) (/.f64 (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base))) (atan2.f64 im re)))
(.f64 (log.f64 (/.f64 1 base)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
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(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (/.f64 1 base))))))
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(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (log.f64 (/.f64 1 base)))))
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(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
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(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (/.f64 1 base))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (/.f64 1 base))))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 4) 1/4)
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(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 8)))
(.f64 8 (.f64 (atan2.f64 im re) (/.f64 1/8 (log.f64 (/.f64 1 base)))))
(.f64 (atan2.f64 im re) (.f64 8 (/.f64 1/8 (log.f64 (/.f64 1 base)))))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(.f64 (atan2.f64 im re) (.f64 -2 (/.f64 -1/2 (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) -2))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) -2)))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(.f64 (atan2.f64 im re) (.f64 -2 (/.f64 -1/2 (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) -2))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 -1/2 (log.f64 (/.f64 1 base))))
(.f64 (atan2.f64 im re) (.f64 -2 (/.f64 -1/2 (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) -2))
(.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) -1)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 (log.f64 (/.f64 1 base)) 2) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (/.f64 1 base))))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))) 2)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (log.f64 (/.f64 1 base)) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (/.f64 1 base))))))
(.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 1/2))
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(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
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(.f64 (/.f64 2 (atan2.f64 im re)) (.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(.f64 (/.f64 1 (.f64 (log.f64 (/.f64 1 base)) 4)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (neg.f64 (atan2.f64 im re)))
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(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 base)) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 (log.f64 (/.f64 1 base)) 0)
(log.f64 (/.f64 1 base))
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(log.f64 (/.f64 1 base))
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(log.f64 (/.f64 1 base))
(+.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) (.f64 (log.f64 (/.f64 1 base)) 1/2))
(log.f64 (/.f64 1 base))
(-.f64 (log.f64 (/.f64 1 base)) 0)
(log.f64 (/.f64 1 base))
(-.f64 0 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(*.f64 1 (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
(*.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(.f64 2 (.f64 (log.f64 (/.f64 1 base)) 1/2))
(log.f64 (/.f64 1 base))
(*.f64 2 (log.f64 (pow.f64 (/.f64 1 base) 1/2)))
(*.f64 1/2 (log.f64 (pow.f64 (/.f64 1 base) 2)))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 base) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 base)) 2))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 2) 1/2)
(log.f64 (/.f64 1 base))
(*.f64 4 (/.f64 (log.f64 (/.f64 1 base)) 4))
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 4) 1/4)
(log.f64 (/.f64 1 base))
(*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(log.f64 (/.f64 1 base))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 8) 1/8)
(log.f64 (/.f64 1 base))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2))
(log.f64 (/.f64 1 base))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 base)) 4))
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) 2)
(log.f64 (/.f64 1 base))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(/.f64 2 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 1 base))
(/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) 2)
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 4) 4)
(log.f64 (/.f64 1 base))
(/.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(log.f64 (/.f64 1 base))
(/.f64 -1 (/.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 8) 8)
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) -2) -2)
(log.f64 (/.f64 1 base))
(/.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) 2)) -2)
(log.f64 (/.f64 1 base))
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 base)) 8)) 16)
(log.f64 (/.f64 1 base))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 1 base)) -2)) 2)
(log.f64 (/.f64 1 base))
(pow.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 17 to 6 computations (64.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 33 to 12 computations (63.6% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	inf	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	0	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(pow.f64 (log.f64 base) 2)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`bool.json-1`
1804×	`bool.json-2`
1332×	`bool.json-3`
1072×	`rational.json-simplify-35`
806×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	131	44
2	377	44
3	914	44
4	2576	44
5	6441	44

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (log.f64 base) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (log.f64 base) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 base) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (pow.f64 (log.f64 base) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 4)) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 1/2)) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 1/2)) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 2 (pow.f64 (log.f64 base) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 4)) (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))))

simplify221.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-1`
816×	`rational.json-simplify-41`
716×	`rational.json-simplify-49`
622×	`rational.json-simplify-61`
606×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	2796
1	319	2772
2	913	2772
3	3705	2772
4	5069	2772
5	7382	2772

Stop Event

1×	node limit

Counts

116 → 84

Calls

Call 1

Inputs
(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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (pow.f64 (log.f64 base) 2) 0)
(+.f64 0 (pow.f64 (log.f64 base) 2))
(-.f64 (pow.f64 (log.f64 base) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) 2))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) 1/2)
(.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 2)))
(.f64 4 (pow.f64 (.f64 (log.f64 base) 1/2) 2))
(.f64 1/2 (.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 1/4 (.f64 (pow.f64 (log.f64 base) 2) 4))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) 2)
(.f64 (pow.f64 (.f64 (log.f64 base) 2) 2) 1/4)
(/.f64 (pow.f64 (log.f64 base) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) 2)
(/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) -1)
(/.f64 (*.f64 2 (neg.f64 (pow.f64 (log.f64 base) 2))) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) 4))) 16)
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 0)
(+.f64 0 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(-.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 0)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (.f64 2 (pow.f64 (log.f64 base) 2))))
(*.f64 2 (/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (log.f64 (pow.f64 base (atan2.f64 im re)))))
(.f64 2 (.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 base)))
(.f64 2 (.f64 (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re)))
(.f64 2 (.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1)
(*.f64 1 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(.f64 (.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(.f64 (.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 1/2)))
(.f64 (.f64 (log.f64 base) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 2 (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 2 (atan2.f64 im re)) (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (log.f64 base) 1/2)))
(.f64 (.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) 1/2)
(.f64 (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 4)) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) 4)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 (pow.f64 base (atan2.f64 im re))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 1/2))
(.f64 (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (.f64 (atan2.f64 im re) 1/2))
(.f64 (.f64 (log.f64 base) 1/2) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(.f64 1/2 (.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 2 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 1/2)) (.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (log.f64 base) 1/2)) (.f64 2 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))) -1)
(.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (.f64 2 (pow.f64 (log.f64 base) 2))) 2)
(*.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(*.f64 (/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2) 2)
(.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) 4)) (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 4)))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 (pow.f64 base (atan2.f64 im re))))
(pow.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1)
(neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))

Outputs
(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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(+.f64 (pow.f64 (log.f64 base) 2) 0)
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(pow.f64 (log.f64 base) 2)
(-.f64 (pow.f64 (log.f64 base) 2) 0)
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(*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) 2))
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(.f64 4 (pow.f64 (.f64 (log.f64 base) 1/2) 2))
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(.f64 1/4 (.f64 (pow.f64 (log.f64 base) 2) 4))
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(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) 2)
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(/.f64 (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) 4)) 8)
(pow.f64 (log.f64 base) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) 4))) 16)
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(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(+.f64 0 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
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(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
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(.f64 2 (.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 base)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 2 (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 2 (atan2.f64 im re)) (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (log.f64 base) 1/2)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) 1/2)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 4)) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) 4)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 (pow.f64 base (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) 1/2))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (.f64 (atan2.f64 im re) 1/2))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) 1/2) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 1/2 (.f64 (log.f64 base) (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 2 (atan2.f64 im re)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 1/2)) (.f64 (log.f64 base) 2))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (log.f64 base) 1/2)) (.f64 2 (atan2.f64 im re)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))) -1)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (.f64 2 (pow.f64 (log.f64 base) 2))) 2)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (neg.f64 (log.f64 (pow.f64 base (atan2.f64 im re)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2) 2)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) 4)) (.f64 (log.f64 base) (.f64 (atan2.f64 im re) 4)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 (pow.f64 base (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(pow.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(neg.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 44 to 13 computations (70.5% saved)

series5.0ms (0%)

Counts

3 → 80

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms	re	@	0	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2116×	`bool.json-1`
2116×	`bool.json-2`
1670×	`bool.json-3`
1060×	`rational.json-simplify-35`
718×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	162	75
2	572	55
3	1964	55
4	6381	55

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 1 (log.f64 base))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 2 (/.f64 2 (atan2.f64 im re))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) (*.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) (*.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) (*.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 2)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (*.f64 2 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 (pow.f64 base 2))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (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 (log.f64 base)) 0)))) (#(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 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base (/.f64 1 (*.f64 (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 (*.f64 (/.f64 1 (log.f64 base)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (*.f64 1/2 (/.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 1/2 (*.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1166×	`rational.json-simplify-54`
1134×	`rational.json-simplify-2`
892×	`rational.json-simplify-51`
872×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	3388
1	357	3356
2	855	3356
3	2737	3356

Stop Event

1×	node limit

Counts

156 → 90

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.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 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 base) (.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 (log.f64 base) (.f64 (/.f64 2 (/.f64 2 (atan2.f64 im re))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 1 (log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 1 (.f64 (/.f64 1 (log.f64 base)) 2)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 2) (.f64 1/2 (log.f64 base)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 2) (.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 2)) 1))
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(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
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(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) 1/2)
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(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(.f64 1/2 (.f64 (/.f64 1 (log.f64 base)) 2))
(pow.f64 (/.f64 1 (log.f64 base)) 1)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(.f64 (/.f64 1 (.f64 (/.f64 1 (log.f64 base)) 2)) (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (.f64 2 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) (log.f64 (pow.f64 base 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (log.f64 (pow.f64 base 2))) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 0)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 0 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 0)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 0 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 1 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2) 1/2)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) 2) (.f64 (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 2)) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) 4))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 2 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) 1))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1 (.f64 2 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 (pow.f64 base 2))) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 1/2 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 (pow.f64 base 2)) (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) -1)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 2 (.f64 (log.f64 base) (.f64 (log.f64 base) 4))) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (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 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(.f64 (log.f64 base) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(.f64 1 (log.f64 (pow.f64 base (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) 1/2)
(/.f64 1 (log.f64 base))
(.f64 (log.f64 (pow.f64 base 2)) (.f64 1/2 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 1 (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 1 (log.f64 base))
(.f64 1/2 (.f64 (/.f64 1 (log.f64 base)) 2))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
✓	0.3b	(.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	0.7b	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))

Compiler

Compiled 54 to 9 computations (83.3% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))
0.0ms	im	@	0	(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
0.0ms	re	@	0	(/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
0.0ms	base	@	0	(.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)))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2042×	`bool.json-1`
2042×	`bool.json-2`
1622×	`bool.json-3`
934×	`rational.json-simplify-35`
672×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	119
1	139	119
2	481	107
3	1704	79
4	6060	79

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

(/.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))

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

(/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (*.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (*.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (/.f64 (/.f64 1 (log.f64 base)) (fabs.f64 (log.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (fabs.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) (fabs.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 0)))) (#(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 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (*.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) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (log.f64 (pow.f64 base (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (pow.f64 base (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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*.f64 (fabs.f64 (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (/.f64 (fabs.f64 (log.f64 base)) (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (log.f64 (pow.f64 (pow.f64 base (fabs.f64 (log.f64 base))) (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

988×	`rational.json-simplify-51`
944×	`rational.json-simplify-43`
898×	`rational.json-simplify-40`
822×	`rational.json-simplify-53`
708×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	205	4842
1	486	4770
2	1113	4770
3	3860	4770

Stop Event

1×	node limit

Counts

170 → 107

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 base) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 3) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 3) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 3) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 3) (atan2.f64 im re)))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
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(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) 3) (atan2.f64 im re))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
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(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1 (*.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base)))) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 1 (.f64 (log.f64 base) 2)) 1))
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(.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (/.f64 1 (.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))) 1))
(.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (.f64 1/2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))))
(.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (atan2.f64 im re))))) 1))
(.f64 (.f64 (log.f64 base) 2) (.f64 (/.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(.f64 (fabs.f64 (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))
(.f64 (fabs.f64 (log.f64 base)) (.f64 (/.f64 (/.f64 1 (log.f64 base)) (fabs.f64 (log.f64 base))) (atan2.f64 im re)))
(.f64 (fabs.f64 (log.f64 base)) (.f64 (/.f64 (fabs.f64 (log.f64 base)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))
(.f64 (fabs.f64 (log.f64 base)) (.f64 (fabs.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 (fabs.f64 (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) (fabs.f64 (log.f64 base)))
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
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(log.f64 (pow.f64 base (*.f64 (log.f64 base) (log.f64 base))))
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(pow.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
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(.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (atan2.f64 im re) 2)) (.f64 (log.f64 base) 2))
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(.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(pow.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1)
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (log.f64 base) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))

eval196.0ms (1.3%)

Compiler: Compiled 18583 to 6107 computations (67.1% saved)

prune860.0ms (5.7%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	810	9	819
Fresh	6	10	16
Picked	1	0	1
Done	1	3	4
Total	818	22	840

Error

Counts

840 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.5b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
	0.5b	(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) (log.f64 base))
	0.6b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
✓	0.4b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.9b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	0.8b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.4b	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
▶	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
▶	0.5b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	0.4b	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
	0.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base)))
	0.5b	(.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))) (*.f64 (log.f64 base) 2))
	0.5b	(.f64 (.f64 (log.f64 base) 1/2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))))
▶	0.3b	(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))))
✓	0.3b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
	8.7b	(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re)))
	13.4b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))
	9.4b	(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base)))))
	9.2b	(neg.f64 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))

Compiler

Compiled 701 to 454 computations (35.2% saved)

localize89.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 base))
✓	0.2b	(/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))
✓	0.3b	(/.f64 2 (log.f64 (/.f64 1 base)))
✓	0.3b	(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))

Compiler

Compiled 57 to 40 computations (29.8% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	base	@	inf	(/.f64 2 (log.f64 (/.f64 1 base)))
0.0ms	base	@	-inf	(/.f64 2 (log.f64 (/.f64 1 base)))
0.0ms	base	@	0	(/.f64 2 (log.f64 (/.f64 1 base)))
0.0ms	im	@	0	(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
0.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))

rewrite438.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`bool.json-1`
1338×	`bool.json-2`
1302×	`rational.json-1`
1302×	`rational.json-2`
1302×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	170	51
2	499	51
3	1343	51
4	4309	51

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 (/.f64 1 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (*.f64 (*.f64 (atan2.f64 im re) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 2 (/.f64 8 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (*.f64 2 (/.f64 4 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (/.f64 8 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 1 (/.f64 -2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/4) (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (/.f64 1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 1 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (log.f64 (/.f64 1 base))) (/.f64 2 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (log.f64 (/.f64 1 base))) (/.f64 2 (log.f64 (/.f64 1 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 1 base)) 1/2) (*.f64 (log.f64 (/.f64 1 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (/.f64 1 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (/.f64 1 base) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 1 base)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (/.f64 1 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 base))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (/.f64 1 base)) (log.f64 (/.f64 1 base)))))))

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational.json-simplify-35`
910×	`rational.json-simplify-41`
888×	`rational.json-simplify-55`
824×	`rational.json-simplify-2`
714×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	2311
1	265	2295
2	618	2295
3	2127	2295
4	4669	2295
5	7762	2295

Stop Event

1×	node limit

Counts

115 → 71

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 (/.f64 1 base) 2))))
(*.f64 2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (/.f64 4 (atan2.f64 im re))))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) 1))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/4))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (.f64 (.f64 (atan2.f64 im re) 1/4) 1))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 2 (/.f64 8 (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)))
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (*.f64 2 (/.f64 4 (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (/.f64 8 (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 (/.f64 1 base)))))
(*.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 1 (/.f64 -2 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(.f64 1/2 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))))
(.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 2))
(.f64 (.f64 (atan2.f64 im re) 1/4) (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(+.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)
(+.f64 0 (/.f64 2 (log.f64 (/.f64 1 base))))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)
(*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base))))
(*.f64 1 (/.f64 2 (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) 1/2)
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) 1/4)
(*.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) -1)
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) 2)
(.f64 1/2 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(*.f64 1/2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))
(pow.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)
(neg.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))))
(+.f64 (log.f64 (/.f64 1 base)) 0)
(+.f64 0 (log.f64 (/.f64 1 base)))
(+.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) (.f64 (log.f64 (/.f64 1 base)) 1/2))
(-.f64 (log.f64 (/.f64 1 base)) 0)
(.f64 2 (.f64 (log.f64 (/.f64 1 base)) 1/2))
(*.f64 1 (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 (/.f64 1 base)) 1)
(*.f64 (log.f64 (pow.f64 (/.f64 1 base) 2)) 1/2)
(.f64 (.f64 (log.f64 (/.f64 1 base)) 4) 1/4)
(*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) 2)
(*.f64 1/2 (log.f64 (pow.f64 (/.f64 1 base) 2)))
(pow.f64 (log.f64 (/.f64 1 base)) 1)
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 -2 (log.f64 base))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 2 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 0)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 (/.f64 1 base) 2))))
(*.f64 2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (/.f64 4 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) 1/4))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (.f64 (.f64 (atan2.f64 im re) 1/4) 1))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 2 (/.f64 8 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) 4)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (*.f64 2 (/.f64 4 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) (/.f64 1 (/.f64 8 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 1 (/.f64 -2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 1/2 (/.f64 (.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(.f64 (.f64 (atan2.f64 im re) 1/4) (*.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(+.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)
(/.f64 2 (log.f64 (/.f64 1 base)))
(+.f64 0 (/.f64 2 (log.f64 (/.f64 1 base))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (/.f64 1 (log.f64 (/.f64 1 base))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(-.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 0)
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 2 (/.f64 1 (log.f64 (/.f64 1 base))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 1 (/.f64 2 (log.f64 (/.f64 1 base))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)
(/.f64 2 (log.f64 (/.f64 1 base)))
(.f64 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))) 1/2)
(/.f64 2 (log.f64 (/.f64 1 base)))
(.f64 (.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 4) 1/4)
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))) -1)
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) 2)
(/.f64 2 (log.f64 (/.f64 1 base)))
(.f64 1/2 (.f64 2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(*.f64 1/2 (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1/2))
(/.f64 2 (log.f64 (/.f64 1 base)))
(pow.f64 (/.f64 2 (log.f64 (/.f64 1 base))) 1)
(/.f64 2 (log.f64 (/.f64 1 base)))
(neg.f64 (neg.f64 (/.f64 2 (log.f64 (/.f64 1 base)))))
(/.f64 2 (log.f64 (/.f64 1 base)))
(+.f64 (log.f64 (/.f64 1 base)) 0)
(log.f64 (/.f64 1 base))
(+.f64 0 (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
(+.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) (.f64 (log.f64 (/.f64 1 base)) 1/2))
(log.f64 (/.f64 1 base))
(-.f64 (log.f64 (/.f64 1 base)) 0)
(log.f64 (/.f64 1 base))
(.f64 2 (.f64 (log.f64 (/.f64 1 base)) 1/2))
(log.f64 (/.f64 1 base))
(*.f64 1 (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
(*.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(*.f64 (log.f64 (pow.f64 (/.f64 1 base) 2)) 1/2)
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 base) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 base)) 2))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 4) 1/4)
(log.f64 (/.f64 1 base))
(*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) 2)
(log.f64 (/.f64 1 base))
(*.f64 1/2 (log.f64 (pow.f64 (/.f64 1 base) 2)))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 base) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 base)) 2))
(pow.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	base	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	base	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.0ms	re	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`bool.json-1`
1326×	`bool.json-2`
1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	128	17
2	355	17
3	726	17
4	1598	17
5	4317	17

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (log.f64 base) 4) (neg.f64 (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (neg.f64 (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)) (*.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (atan2.f64 im re))) (*.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 4)) (*.f64 8 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (neg.f64 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (neg.f64 (*.f64 (atan2.f64 im re) 2))) (*.f64 2 (neg.f64 (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (atan2.f64 im re))) (*.f64 2 (neg.f64 (atan2.f64 im re)))) (*.f64 2 (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (atan2.f64 im re)))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 2) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 1/2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 4)) (log.f64 base)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (*.f64 (log.f64 base) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4)) (neg.f64 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2))) (-.f64 0 (neg.f64 (*.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (neg.f64 (atan2.f64 im re)))) (-.f64 0 (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational.json-simplify-2`
1202×	`rational.json-simplify-35`
1086×	`rational.json-simplify-51`
1016×	`rational.json-simplify-61`
902×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1717
1	484	1701
2	1452	1701
3	4604	1701

Stop Event

1×	node limit

Counts

93 → 61

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) 2))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 2 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)))
(/.f64 2 (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) 2)
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 base) 2))
(/.f64 4 (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 4 (.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)) 2))
(/.f64 4 (.f64 (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(/.f64 4 (/.f64 (*.f64 (log.f64 base) 4) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 -1 (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)
(/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) 4))
(/.f64 8 (+.f64 (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (atan2.f64 im re)))
(/.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 -2 (-.f64 0 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2))))
(/.f64 1/2 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)) (.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 (log.f64 base) -2))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 base) 8))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (*.f64 8 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 (sqrt.f64 base)))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (.f64 (log.f64 base) -2))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (atan2.f64 im re) 2))) (.f64 2 (neg.f64 (.f64 (log.f64 base) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 2 (neg.f64 (atan2.f64 im re)))) (.f64 2 (.f64 (log.f64 base) -2)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (atan2.f64 im re)))) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 2) (log.f64 (sqrt.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (log.f64 base)) 8)
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (*.f64 (log.f64 base) 4)) 1/4)
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (neg.f64 (.f64 (log.f64 base) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (atan2.f64 im re) 2))) (.f64 (log.f64 base) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (atan2.f64 im re) 2))) (-.f64 0 (neg.f64 (.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (atan2.f64 im re)))) (-.f64 0 (.f64 (log.f64 base) -2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (*.f64 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 2 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 2 (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (*.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (.f64 (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 4 (/.f64 (*.f64 (log.f64 base) 4) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) 4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 8 (+.f64 (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 8 (/.f64 (*.f64 (log.f64 base) 8) (neg.f64 (neg.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -2 (-.f64 0 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1/2 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)) (.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 base) 8))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (*.f64 8 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 (sqrt.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (.f64 (log.f64 base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (atan2.f64 im re) 2))) (.f64 2 (neg.f64 (.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) 16)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 2 (neg.f64 (atan2.f64 im re)))) (.f64 2 (.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (atan2.f64 im re)))) (*.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 2) (log.f64 (sqrt.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (log.f64 base)) 8)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)) 1/4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (*.f64 (log.f64 base) 4)) 1/4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (neg.f64 (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (.f64 (atan2.f64 im re) 2))) (.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (.f64 (atan2.f64 im re) 2))) (-.f64 0 (neg.f64 (.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (atan2.f64 im re)))) (-.f64 0 (.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

localize228.0ms (1.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓	0.4b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 35 to 15 computations (57.1% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
0.0ms	base	@	inf	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
0.0ms	re	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
0.0ms	im	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`bool.json-1`
2074×	`bool.json-2`
1700×	`bool.json-3`
730×	`rational.json-simplify-49`
722×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	129	56
2	353	56
3	784	56
4	1947	56
5	6130	56

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1/2 (*.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (*.f64 2 (pow.f64 (log.f64 base) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule 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2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational.json-simplify-43`
900×	`exponential.json-simplify-26`
872×	`rational.json-simplify-2`
836×	`rational.json-simplify-35`
834×	`exponential.json-simplify-31`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	5006
1	845	4976
2	2607	4880
3	5219	4652

Stop Event

1×	node limit

Counts

158 → 141

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (log.f64 base))))
(/.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1)
(/.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) 2) (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(/.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 2 (log.f64 base)))
(/.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) 4) (+.f64 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (log.f64 base)))))
(/.f64 (.f64 (atan2.f64 im re) 4) (/.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 4 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(/.f64 (.f64 (log.f64 base) 2) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 (.f64 (atan2.f64 im re) (.f64 2 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))) 2)
(/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (neg.f64 (.f64 2 (pow.f64 (log.f64 base) 2))) (.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(/.f64 -1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))) (log.f64 base)))
(/.f64 4 (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (log.f64 base))) (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (log.f64 base)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) (+.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 base))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) (/.f64 4 (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) 8) (/.f64 (.f64 (pow.f64 (log.f64 base) 2) 8) (log.f64 base)))
(/.f64 (.f64 (log.f64 base) 4) (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4))
(/.f64 (.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4)) 4)
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 1/2 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (*.f64 (log.f64 base) 2)))
(/.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (log.f64 base)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (atan2.f64 im re) -2) (+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))))
(/.f64 (.f64 (atan2.f64 im re) -2) (/.f64 (.f64 (pow.f64 (log.f64 base) 2) -2) (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) -2) (/.f64 (neg.f64 (.f64 2 (pow.f64 (log.f64 base) 2))) (log.f64 base)))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2)))
(/.f64 (.f64 2 (.f64 (log.f64 base) 4)) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4) (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)))
(/.f64 (.f64 2 (.f64 (log.f64 base) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))) 8)
(/.f64 (*.f64 (log.f64 base) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 -1 (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (/.f64 1 (.f64 (log.f64 base) 2)))
(/.f64 (.f64 (log.f64 base) 1/2) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 -1 (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 (+.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))) (.f64 2 (.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (+.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(/.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (log.f64 base) 1/2) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 (/.f64 (*.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2)) (/.f64 2 (atan2.f64 im re)))
(/.f64 (neg.f64 (.f64 (log.f64 base) 2)) (-.f64 0 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(/.f64 (neg.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1)
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(+.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(-.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 0)
(*.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) 1/2))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) 1/2))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1/2)
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1/2 (*.f64 2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) 4) (.f64 (/.f64 1/2 (.f64 2 (pow.f64 (log.f64 base) 2))) 1))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) 1))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(*.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(.f64 -1 (.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) 1))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1 (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 4 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) 2) 4)))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) 1/4)
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 8)))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 2))
(.f64 1/2 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) -2)))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 1/2))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) -1)
(.f64 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) 2)
(.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 1/2))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))
(.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (/.f64 1/2 (.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 4))
(*.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re))
(pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1)
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 0)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(/.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(.f64 (neg.f64 (atan2.f64 im re)) (.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) 1))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 -1 (.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) 1))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))
(.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))
(.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1 (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))
(.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))
(.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1/2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))
(.f64 4 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) 2) 4)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) 1/4)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 8)))
(.f64 (.f64 (atan2.f64 im re) 8) (/.f64 1/8 (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 1/2 (.f64 2 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) -2)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) -1)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (pow.f64 (log.f64 base) 2))))))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (atan2.f64 im re))))
(.f64 2 (.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (atan2.f64 im re))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (pow.f64 (log.f64 base) 2))))))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) (/.f64 1/2 (atan2.f64 im re))))
(.f64 2 (.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (atan2.f64 im re))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 1/4 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re)))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(.f64 (/.f64 1/2 (.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 2 (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (atan2.f64 im re))))))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (atan2.f64 im re)))))))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2)) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))
(*.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 2))
(.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 (/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) 2))
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1)
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

localize348.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
	0.3b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓	0.4b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
0.0ms	base	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
0.0ms	base	@	0	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
0.0ms	im	@	inf	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))

rewrite394.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`bool.json-1`
2024×	`bool.json-2`
1722×	`bool.json-3`
744×	`rational.json-simplify-35`
740×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	168	33
2	543	33
3	1597	33
4	6086	33

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 1 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (/.f64 (log.f64 base) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 base) (*.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 base) (*.f64 2 (pow.f64 (log.f64 base) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) (/.f64 1 (*.f64 2 (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 2 (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (*.f64 2 (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 -1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 -1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))))

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1816×	`rational.json-simplify-35`
1034×	`rational.json-simplify-2`
982×	`rational.json-simplify-41`
622×	`rational.json-simplify-49`
590×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	2693
1	385	2653
2	899	2653
3	2360	2653
4	5128	2653

Stop Event

1×	node limit

Counts

91 → 77

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (/.f64 (log.f64 base) (.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 2 (log.f64 base))))
(.f64 2 (/.f64 (log.f64 base) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 2))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(*.f64 1 (log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)
(.f64 (.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (log.f64 base) 2) (.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (log.f64 base) 2) (.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) 1))
(.f64 (.f64 (log.f64 base) 2) (/.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) 4))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (/.f64 (log.f64 base) 2))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (/.f64 (log.f64 base) 2) 1))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (log.f64 base) (*.f64 2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (log.f64 base)))
(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (/.f64 (log.f64 base) (.f64 2 (pow.f64 (log.f64 base) 2))) 1))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1/2 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))) 1/2)
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 4) (/.f64 1 (*.f64 2 (/.f64 2 (log.f64 base)))))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))
(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))
(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (atan2.f64 im re) 4))))
(.f64 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (/.f64 1 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))))
(.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 -1 (log.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))
(*.f64 -1 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 -1 (log.f64 base))))
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (/.f64 1 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) 2)))))
(.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (/.f64 -1 (log.f64 base)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 -1 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(.f64 (/.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 (log.f64 base) (.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 2))
(.f64 1/2 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))
(pow.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 -1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(.f64 2 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(.f64 (/.f64 (log.f64 base) 2) (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (log.f64 base) (.f64 2 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 1/2 (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (log.f64 (sqrt.f64 base)))
(.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))))
(.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (pow.f64 (log.f64 base) 2))) (log.f64 (sqrt.f64 base)))
(.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
✓	0.4b	(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))

Compiler

Compiled 47 to 21 computations (55.3% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
0.0ms	base	@	0	(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
0.0ms	base	@	-inf	(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite261.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`bool.json-1`
1926×	`bool.json-2`
1610×	`bool.json-3`
908×	`rational.json-simplify-35`
896×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	158	87
2	521	55
3	1786	55
4	6629	55

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

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

(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 2 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) (*.f64 (/.f64 1/2 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) (*.f64 1/2 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 base 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (log.f64 base))) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 (log.f64 base))) (fabs.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 2 (log.f64 base))) (fabs.f64 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 2 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 2 (/.f64 2 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (*.f64 (log.f64 base) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 2 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (/.f64 1/2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (/.f64 1 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (*.f64 (/.f64 1/2 (/.f64 1 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (*.f64 (/.f64 1 (/.f64 2 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base 2)) (/.f64 2 (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (*.f64 2 (*.f64 2 (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (*.f64 2 (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 base) (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 base) (neg.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (/.f64 -1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (log.f64 base)) (/.f64 (fabs.f64 (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (log.f64 (pow.f64 base 2)) (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1 (atan2.f64 im re))) (log.f64 (pow.f64 base 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (atan2.f64 im re))) (log.f64 (pow.f64 base 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (atan2.f64 im re))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))))))

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(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

simplify724.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-2`
1260×	`rational.json-simplify-35`
722×	`rational.json-simplify-1`
722×	`rational.json-simplify-44`
660×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	5775
1	1288	5657
2	4556	5631
3	7842	5631

Stop Event

1×	node limit

Counts

267 → 227

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 0)
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(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
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(*.f64 (/.f64 2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(.f64 (/.f64 2 (log.f64 base)) (.f64 (/.f64 1/2 (log.f64 base)) 1))
(.f64 (/.f64 2 (log.f64 base)) (.f64 1/2 (/.f64 1 (log.f64 base))))
(*.f64 2 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 base 2))))
(.f64 2 (/.f64 (log.f64 base) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))
(.f64 2 (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) 2))
(.f64 (log.f64 (pow.f64 base 2)) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (*.f64 (log.f64 base) 4)))
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) 1/2)
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (pow.f64 base 2))))
(*.f64 (neg.f64 (/.f64 1 (log.f64 base))) (/.f64 -1 (log.f64 base)))
(*.f64 -1 (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (log.f64 base))))
(*.f64 1/2 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 2 (log.f64 base)))
(*.f64 (fabs.f64 (/.f64 1 (log.f64 base))) (fabs.f64 (/.f64 1 (log.f64 base))))
(*.f64 (fabs.f64 (/.f64 2 (log.f64 base))) (fabs.f64 (/.f64 1/2 (log.f64 base))))
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) 1)
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(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)
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(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (/.f64 2 (/.f64 2 (atan2.f64 im re))))
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(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) 1)
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(*.f64 2 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(.f64 2 (/.f64 (log.f64 base) (.f64 2 (/.f64 1 (atan2.f64 im re)))))
(*.f64 2 (/.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(.f64 2 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) 2))
(*.f64 (log.f64 (pow.f64 base 2)) (/.f64 1/2 (/.f64 1 (atan2.f64 im re))))
(*.f64 (log.f64 (pow.f64 base 2)) (/.f64 1 (/.f64 2 (atan2.f64 im re))))
(.f64 (log.f64 (pow.f64 base 2)) (.f64 (atan2.f64 im re) 1/2))
(.f64 (log.f64 (pow.f64 base 2)) (.f64 (/.f64 1/2 (/.f64 1 (atan2.f64 im re))) 1))
(.f64 (log.f64 (pow.f64 base 2)) (.f64 (/.f64 1 (/.f64 2 (atan2.f64 im re))) 1))
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(.f64 (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))) 1/2)
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(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (.f64 2 (.f64 2 (/.f64 1 (atan2.f64 im re))))))
(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (*.f64 2 (/.f64 2 (atan2.f64 im re)))))
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(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 -1 (log.f64 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (/.f64 1 (log.f64 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 base) (/.f64 -1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (log.f64 base) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
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(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (/.f64 -1 (atan2.f64 im re))))
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(/.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)))
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(/.f64 (.f64 (log.f64 base) 4) (+.f64 (.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base 2)) (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base 2)) (atan2.f64 im re)))))
(/.f64 (.f64 (log.f64 base) 4) (+.f64 (/.f64 2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))
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(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 (log.f64 (pow.f64 base 2)) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 2 (log.f64 base)))
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(/.f64 -2 (+.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
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(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 2 (neg.f64 (log.f64 base))))
(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (/.f64 1 (log.f64 base))))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (/.f64 1 (log.f64 base)))))))
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(/.f64 (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))) (+.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
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(/.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) 4))
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(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 1 (log.f64 base))))
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(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))) (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (+.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4)) (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4))) (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4))))
(/.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (.f64 2 (.f64 (/.f64 1 (log.f64 base)) 4)))
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(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (atan2.f64 im re))) (/.f64 -1 (/.f64 1 (atan2.f64 im re)))) (*.f64 2 (neg.f64 (log.f64 base))))
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(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base)))) (.f64 2 (.f64 (/.f64 1 (log.f64 base)) 4)))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))) (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))) (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (+.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (+.f64 (neg.f64 (/.f64 2 (log.f64 base))) (neg.f64 (/.f64 2 (log.f64 base)))))
(/.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base 2))) (.f64 (log.f64 base) 1/2))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))) 1/2)
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base))) 1/2)
(/.f64 (/.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
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(/.f64 (/.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2)))) 2) (log.f64 (pow.f64 base 2)))
(/.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 2 (log.f64 base)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) -1)
(/.f64 (/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) -1)
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(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base)))) (-.f64 0 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) (/.f64 1 (log.f64 base)))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))) (/.f64 1 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (/.f64 2 (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)

Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
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(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (log.f64 base)) (-.f64 0 (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 8 (+.f64 (.f64 2 (/.f64 (log.f64 (pow.f64 base 2)) (atan2.f64 im re))) (.f64 2 (/.f64 (log.f64 (pow.f64 base 2)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (log.f64 base) 4)) (+.f64 (/.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -2 (+.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (log.f64 base))) (+.f64 (/.f64 -1 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (.f64 2 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (/.f64 1 (log.f64 base))))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (/.f64 1 (log.f64 base)))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 2 (neg.f64 (atan2.f64 im re))) (+.f64 (/.f64 -1 (/.f64 1 (log.f64 base))) (/.f64 -1 (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (/.f64 1 (log.f64 base)) 4)) (+.f64 (.f64 2 (.f64 2 (/.f64 1 (atan2.f64 im re)))) (.f64 2 (.f64 2 (/.f64 1 (atan2.f64 im re))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) 4) (+.f64 (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) 4) (+.f64 (/.f64 2 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 2 (.f64 (log.f64 base) (atan2.f64 im re)))))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (/.f64 4 (+.f64 (/.f64 2 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 2 (.f64 (log.f64 base) (atan2.f64 im re))))))
(.f64 4 (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 2 (/.f64 2 (*.f64 (log.f64 base) (atan2.f64 im re)))))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))) (+.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))) (+.f64 (.f64 -1 (/.f64 1 (atan2.f64 im re))) (*.f64 -1 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 4)) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (/.f64 1 (log.f64 base)) 4))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 2 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) 4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 -1 (/.f64 1 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2)))) (*.f64 (log.f64 base) 4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 1 (log.f64 base)) 4))
(/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (/.f64 1 (log.f64 base)) 4))
(/.f64 (/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) 4)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 4 (/.f64 1 (log.f64 base))) 4))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (-.f64 0 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 2 (log.f64 base))) (-.f64 0 (/.f64 2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 2 (log.f64 base))) (-.f64 0 (*.f64 2 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (neg.f64 (log.f64 (pow.f64 base 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (/.f64 2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))) (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4)) (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 4))) (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) (.f64 (log.f64 base) 4))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4)) 8)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (.f64 2 (.f64 (/.f64 1 (log.f64 base)) 4)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 2 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
(/.f64 (+.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) (/.f64 4 (/.f64 1 (atan2.f64 im re)))) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 -1 (/.f64 1 (atan2.f64 im re))) (/.f64 -1 (/.f64 1 (atan2.f64 im re)))) (*.f64 2 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2)))) (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))))) (.f64 2 (.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base)))) (.f64 2 (.f64 (/.f64 1 (log.f64 base)) 4)))
(/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (/.f64 1 (log.f64 base)) 4))
(/.f64 (/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) 4)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 4 (/.f64 1 (log.f64 base))) 4))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))) (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))) (*.f64 2 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (+.f64 (neg.f64 (/.f64 2 (log.f64 base))) (neg.f64 (/.f64 2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 (pow.f64 base 2))) (.f64 (log.f64 base) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 2 (log.f64 base))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 (pow.f64 base 2))) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 1 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 (pow.f64 base 2))))))
(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 2 (log.f64 base)) (neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 -2 (log.f64 base))))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
(/.f64 (/.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) 2) (log.f64 (pow.f64 base 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 -1 (/.f64 1 (atan2.f64 im re))) (log.f64 base)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2)))) 2) (log.f64 (pow.f64 base 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 2 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2)))) (-.f64 0 (.f64 (log.f64 base) (log.f64 (pow.f64 base 2)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (-.f64 0 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 2 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re)))) (-.f64 0 (*.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (atan2.f64 im re)))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (/.f64 2 (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))))) (-.f64 0 (*.f64 (log.f64 base) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 (.f64 (atan2.f64 im re) 4) (.f64 (log.f64 base) (log.f64 base)))) (-.f64 0 (*.f64 (/.f64 1 (log.f64 base)) 4)))
(/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (/.f64 1 (log.f64 base)) 4))
(/.f64 (/.f64 (.f64 4 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 1 (log.f64 base))) 4)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 4 (/.f64 1 (log.f64 base))) 4))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 2 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (/.f64 2 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

eval1.9s (12.6%)

Compiler: Compiled 13862 to 7223 computations (47.9% saved)

prune941.0ms (6.2%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	806	6	812
Fresh	3	11	14
Picked	1	0	1
Done	1	6	7
Total	811	23	834

Error

Counts

834 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
	0.5b	(/.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)))
	0.6b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
	0.6b	(/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	0.4b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
▶	0.9b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	0.8b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.9b	(/.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))
▶	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.4b	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
✓	0.5b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	0.5b	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
	0.4b	(.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 base)))
	0.5b	(.f64 (.f64 (log.f64 base) 1/2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))))
✓	0.3b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
▶	8.7b	(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re)))
	13.4b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))
	9.4b	(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base)))))
	9.2b	(neg.f64 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))

Compiler

Compiled 678 to 446 computations (34.2% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (/.f64 1 (log.f64 base)))
	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))

Compiler

Compiled 38 to 19 computations (50% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 -1 (/.f64 1 (log.f64 base)))
0.0ms	base	@	inf	(/.f64 -1 (/.f64 1 (log.f64 base)))
0.0ms	base	@	0	(/.f64 -1 (/.f64 1 (log.f64 base)))
0.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
0.0ms	base	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`bool.json-1`
1504×	`bool.json-2`
1470×	`rational.json-1`
1470×	`rational.json-2`
1250×	`bool.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	172	34
2	535	26
3	1592	26
4	5434	26

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
(/.f64 -1 (/.f64 1 (log.f64 base)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 2 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 (*.f64 (atan2.f64 im re) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 2) (/.f64 2 (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (atan2.f64 im re)) (/.f64 1/2 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (atan2.f64 im re)) (*.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (atan2.f64 im re)) (*.f64 1/2 (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 1 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -4) (/.f64 1 (*.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (*.f64 2 (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (/.f64 4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 1 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 -1 (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 -1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) (*.f64 -2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (*.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (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 (neg.f64 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 base -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))))))

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1604×	`rational.json-simplify-35`
1206×	`rational.json-simplify-2`
956×	`rational.json-simplify-53`
616×	`rational.json-simplify-55`
570×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1953
1	314	1909
2	757	1897
3	2273	1897
4	4487	1897
5	7766	1897

Stop Event

1×	node limit

Counts

113 → 79

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.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))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(*.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (log.f64 base) (/.f64 2 (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 -2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) -2)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 (atan2.f64 im re) 1/2))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (.f64 (.f64 (atan2.f64 im re) 1/2) 1))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (/.f64 2 (/.f64 4 (atan2.f64 im re))))
(.f64 (.f64 -2 (atan2.f64 im re)) (/.f64 1/2 (neg.f64 (log.f64 base))))
(.f64 (.f64 -2 (atan2.f64 im re)) (*.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) 1))
(.f64 (.f64 -2 (atan2.f64 im re)) (*.f64 1/2 (/.f64 -1 (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 base) -2)))
(*.f64 2 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (atan2.f64 im re))))
(.f64 2 (/.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(.f64 (.f64 (log.f64 base) 2) (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)
(.f64 (.f64 (atan2.f64 im re) -4) (/.f64 1 (*.f64 (log.f64 base) -4)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (*.f64 2 (/.f64 2 (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (/.f64 4 (atan2.f64 im re))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 1 (*.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 -1 (*.f64 (log.f64 base) -2)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 -1 (log.f64 base)) -1))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) (.f64 -2 (atan2.f64 im re)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 2 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (/.f64 1 (log.f64 base)) 2))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(+.f64 -1 (-.f64 1 (log.f64 base)))
(+.f64 (neg.f64 (log.f64 base)) 0)
(+.f64 0 (neg.f64 (log.f64 base)))
(+.f64 (-.f64 1 (log.f64 base)) -1)
(-.f64 (neg.f64 (log.f64 base)) 0)
(-.f64 0 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 1 (neg.f64 (log.f64 base)))
(*.f64 1 (log.f64 (pow.f64 base -1)))
(*.f64 (log.f64 base) -1)
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) 1)
(*.f64 -2 (/.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) -2) 1/2)
(*.f64 2 (/.f64 (log.f64 base) -2))
(*.f64 2 (/.f64 (neg.f64 (log.f64 base)) 2))
(.f64 (.f64 (log.f64 base) 2) -1/2)
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 -1 (log.f64 base)))
(.f64 (.f64 (log.f64 base) -4) 1/4)
(.f64 (.f64 (log.f64 base) 4) -1/4)
(.f64 1/2 (.f64 (log.f64 base) -2))
(.f64 -1/2 (.f64 (log.f64 base) 2))
(pow.f64 (neg.f64 (log.f64 base)) 1)
(neg.f64 (log.f64 base))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (log.f64 base) (/.f64 2 (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (*.f64 (atan2.f64 im re) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (.f64 (.f64 (atan2.f64 im re) 1/2) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) (/.f64 2 (/.f64 4 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 -2 (atan2.f64 im re)) (/.f64 1/2 (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 -2 (atan2.f64 im re)) (*.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) 1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 -2 (atan2.f64 im re)) (*.f64 1/2 (/.f64 -1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 2 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 2 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 2 (/.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 2 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (log.f64 base) 2) (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) -4) (/.f64 1 (*.f64 (log.f64 base) -4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (*.f64 2 (/.f64 2 (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1/2 (/.f64 2 (atan2.f64 im re))))
(.f64 4 (.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 4)))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 base)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1 (/.f64 4 (atan2.f64 im re))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) 4) (/.f64 1/2 (/.f64 2 (atan2.f64 im re))))
(.f64 4 (.f64 (/.f64 1 (log.f64 base)) (/.f64 (atan2.f64 im re) 4)))
(*.f64 4 (/.f64 (/.f64 (atan2.f64 im re) 4) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 1 (*.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 2 (atan2.f64 im re)) (/.f64 -1 (*.f64 (log.f64 base) -2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (/.f64 -1 (log.f64 base)) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1/2 (neg.f64 (log.f64 base))) (.f64 -2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 2 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(.f64 (/.f64 2 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(/.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 2 (*.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (/.f64 1 (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 -1 (-.f64 1 (log.f64 base)))
(neg.f64 (log.f64 base))
(+.f64 (neg.f64 (log.f64 base)) 0)
(neg.f64 (log.f64 base))
(+.f64 0 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
(+.f64 (-.f64 1 (log.f64 base)) -1)
(neg.f64 (log.f64 base))
(-.f64 (neg.f64 (log.f64 base)) 0)
(neg.f64 (log.f64 base))
(-.f64 0 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 1 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
(*.f64 1 (log.f64 (pow.f64 base -1)))
(neg.f64 (log.f64 base))
(*.f64 (log.f64 base) -1)
(neg.f64 (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(neg.f64 (log.f64 base))
(*.f64 (neg.f64 (log.f64 base)) 1)
(neg.f64 (log.f64 base))
(*.f64 -2 (/.f64 (log.f64 base) 2))
(neg.f64 (log.f64 base))
(.f64 (.f64 (log.f64 base) -2) 1/2)
(neg.f64 (log.f64 base))
(*.f64 2 (/.f64 (log.f64 base) -2))
(neg.f64 (log.f64 base))
(*.f64 2 (/.f64 (neg.f64 (log.f64 base)) 2))
(neg.f64 (log.f64 base))
(.f64 (.f64 (log.f64 base) 2) -1/2)
(neg.f64 (log.f64 base))
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 -1 (log.f64 base)))
(neg.f64 (log.f64 base))
(.f64 (.f64 (log.f64 base) -4) 1/4)
(neg.f64 (log.f64 base))
(.f64 (.f64 (log.f64 base) 4) -1/4)
(neg.f64 (log.f64 base))
(.f64 1/2 (.f64 (log.f64 base) -2))
(neg.f64 (log.f64 base))
(.f64 -1/2 (.f64 (log.f64 base) 2))
(neg.f64 (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) 1)
(neg.f64 (log.f64 base))
(neg.f64 (log.f64 base))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series5.0ms (0%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	base	@	-inf	(/.f64 (log.f64 base) (atan2.f64 im re))
0.0ms	re	@	-inf	(/.f64 (log.f64 base) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (log.f64 base) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 (log.f64 base) (atan2.f64 im re))

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`rational.json-simplify-35`
812×	`rational.json-simplify-46`
760×	`rational.json-simplify-1`
744×	`bool.json-1`
744×	`bool.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	131	34
2	392	34
3	900	34
4	2240	34
5	6649	34

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (*.f64 2 (/.f64 1 (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 2 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (*.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (log.f64 (pow.f64 base 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1 (log.f64 (pow.f64 base 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1/2) (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (pow.f64 base 4))) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (atan2.f64 im re))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (/.f64 2 (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) 1))))) (#(struct:change #<rule egg-rr> 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base) (neg.f64 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (*.f64 (/.f64 -1 (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 base) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (log.f64 base))) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) 2) (*.f64 2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) (log.f64 (pow.f64 base 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (log.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 base 2) (/.f64 1/2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))))))

simplify314.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-51`
1142×	`rational.json-simplify-49`
1108×	`rational.json-simplify-61`
1044×	`rational.json-simplify-44`
938×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2952
1	479	2914
2	1239	2884
3	6015	2824

Stop Event

1×	node limit

Counts

146 → 118

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
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(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
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(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (*.f64 2 (/.f64 1 (log.f64 base))) 1/2))
(.f64 (atan2.f64 im re) (.f64 (/.f64 2 (log.f64 base)) 1/2))
(.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2)) 1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 base)))
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(.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (/.f64 1 (log.f64 base)) 1/2) 1))
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(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(.f64 2 (.f64 (/.f64 1/2 (log.f64 base)) (atan2.f64 im re)))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 1))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) 2) (/.f64 1 (log.f64 base))))
(.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2))
(.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)
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(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 1/2 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1 (log.f64 (pow.f64 base 4))) 1))
(.f64 (.f64 (atan2.f64 im re) 4) (*.f64 1/4 (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
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(.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 2))
(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(.f64 (.f64 (/.f64 1 (log.f64 base)) 1/2) (*.f64 (atan2.f64 im re) 2))
(*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (log.f64 base)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2)) 2)
(.f64 (/.f64 1 (log.f64 (pow.f64 base 4))) (.f64 (atan2.f64 im re) 4))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(neg.f64 (/.f64 -1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (atan2.f64 im re))) (log.f64 base)))
(+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)
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(+.f64 (-.f64 1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) -1)
(-.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)
(-.f64 0 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(*.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
(.f64 (log.f64 base) (.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) 1/2))
(.f64 (log.f64 base) (.f64 (/.f64 2 (atan2.f64 im re)) 1/2))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 base))) 1/2))
(.f64 (.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) 2) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(.f64 (.f64 (log.f64 base) 2) (.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) 1))
(.f64 2 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2))
(.f64 2 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2)))
(.f64 2 (.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) 1))
(.f64 2 (.f64 (/.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re))))
(.f64 2 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(*.f64 2 (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))))
(.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) 1/2)
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2))
(.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) 1/4)
(.f64 (log.f64 (pow.f64 base 4)) (/.f64 1 (.f64 (atan2.f64 im re) 4)))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) 1))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 1/4 (/.f64 1 (atan2.f64 im re))))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 1/2 (/.f64 1/2 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (/.f64 1 (log.f64 base))))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (/.f64 1 (/.f64 1 (log.f64 base))) 1))
(*.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) -1)
(*.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
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(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 base) 2) 1))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) 1/2))
(.f64 1/2 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 base))) (/.f64 1 (atan2.f64 im re)))
(.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2)) 2)
(.f64 1/4 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4))
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(*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (log.f64 base))) (atan2.f64 im re)))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base 2) (/.f64 1/2 (atan2.f64 im re))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(.f64 2 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 2 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 2 (.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 2 (.f64 (/.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 2 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 2 (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))))
(*.f64 (/.f64 1/2 (atan2.f64 im re)) (log.f64 (pow.f64 base 2)))
(.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) 1/2)
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) 1/4)
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (log.f64 (pow.f64 base 4)) (/.f64 1 (.f64 (atan2.f64 im re) 4)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 1/4 (/.f64 1 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (log.f64 (pow.f64 base 4)) (.f64 1/2 (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (/.f64 1 (/.f64 1 (log.f64 base))) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) -1)
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (neg.f64 (log.f64 base)) (.f64 (/.f64 -1 (atan2.f64 im re)) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 base) 2) 1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (*.f64 (log.f64 base) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 1/2 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 (log.f64 base) 2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 base))) (/.f64 1 (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 2)) 2)
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 1/4 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) 2) (.f64 2 (/.f64 1 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 1 (.f64 (atan2.f64 im re) 4)) (log.f64 (pow.f64 base 4)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(/.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (log.f64 base))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base 2) (/.f64 1/2 (atan2.f64 im re))))
(log.f64 (pow.f64 base (*.f64 2 (/.f64 1/2 (atan2.f64 im re)))))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
	0.5b	(pow.f64 (log.f64 base) 2)
✓	0.8b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
0.0ms	base	@	-inf	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`rational.json-simplify-35`
1206×	`bool.json-1`
1206×	`bool.json-2`
1180×	`rational.json-1`
1180×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	133	56
2	408	56
3	1093	56
4	3456	56

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 2 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) (*.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 2 (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) (*.f64 2 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 base) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-53`
906×	`rational.json-simplify-41`
840×	`rational.json-simplify-2`
722×	`exponential.json-simplify-26`
718×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	3234
1	303	3210
2	703	3210
3	2428	3186
4	4090	3186
5	6420	3186

Stop Event

1×	node limit

Counts

118 → 85

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (atan2.f64 im re))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) (atan2.f64 im re))
(+.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 0)
(+.f64 0 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(-.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 0)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(.f64 2 (/.f64 (log.f64 base) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))))
(.f64 2 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))
(.f64 2 (/.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 2))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)
(.f64 1 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 2 (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2))
(.f64 (.f64 (log.f64 base) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2))
(.f64 (.f64 (log.f64 base) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))))
(.f64 (.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/2)
(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 2 (/.f64 2 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))
(.f64 1/2 (.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2) (.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 2 (/.f64 2 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) -1)
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (log.f64 base) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))) 2)
(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))) 2)
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))) (*.f64 (atan2.f64 im re) 4))
(.f64 (/.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 base) 4))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(pow.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
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(*.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (atan2.f64 im re)))
(.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1/2)
(.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4) 1/4)
(*.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))) -1)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) 2) 2))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (atan2.f64 im re))) 2)
(.f64 1/4 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) (.f64 2 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2) 2)
(.f64 (/.f64 1 (.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 base) 2) 4))
(*.f64 (/.f64 1 (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (atan2.f64 im re))
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(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) (atan2.f64 im re))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
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(.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 1 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 2 (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) 2) (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) 2) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (atan2.f64 im re) 4) (/.f64 1 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/2)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (log.f64 base) 4) (/.f64 1 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 2 (/.f64 2 (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (atan2.f64 im re))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(.f64 1/2 (.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 2) (.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 2 (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 2 (/.f64 2 (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) -1)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (log.f64 base) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))) 2)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))) 2)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base))) (*.f64 (atan2.f64 im re) 4))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 2) 2)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4)) (*.f64 (log.f64 base) 4))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 base)))) (neg.f64 (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re)))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
(+.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 0)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(+.f64 0 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(-.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 0)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(-.f64 0 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))) 1/2)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) 2) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4) 1/4)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))) -1)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 2 (/.f64 1 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) 2) 2))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 2 (pow.f64 (log.f64 base) 2)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (atan2.f64 im re)) 1/2) (*.f64 2 (pow.f64 (log.f64 base) 2)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 2 (atan2.f64 im re))) 2)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 1/4 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 4))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) (.f64 2 (/.f64 1 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 2) 2)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(.f64 (/.f64 1 (.f64 (atan2.f64 im re) 4)) (*.f64 (pow.f64 (log.f64 base) 2) 4))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(*.f64 (/.f64 1 (neg.f64 (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1)
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
✓	0.3b	(/.f64 1 (pow.f64 (log.f64 base) 2))
	0.4b	(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 50 to 26 computations (48% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(/.f64 1 (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
0.0ms	re	@	inf	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
0.0ms	base	@	0	(/.f64 1 (pow.f64 (log.f64 base) 2))
0.0ms	base	@	inf	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`bool.json-1`
1526×	`bool.json-2`
1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	174	56
2	501	50
3	1256	50
4	4264	50

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 base) (*.f64 2 (atan2.f64 im re)))) (neg.f64 (*.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) (neg.f64 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2)))) (-.f64 0 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (pow.f64 (log.f64 base) 2))) (-.f64 0 (*.f64 2 (/.f64 2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (atan2.f64 im re) 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#<rule egg-rr> (2) ((x or (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1308×	`rational.json-simplify-2`
938×	`rational.json-simplify-61`
834×	`rational.json-simplify-51`
804×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	398	6412
1	1504	6388
2	5304	6388

Stop Event

1×	node limit

Counts

212 → 178

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 (log.f64 base) 2)))
(-.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 0)
(*.f64 1 (/.f64 1 (pow.f64 (log.f64 base) 2)))
(*.f64 2 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 2))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1)
(.f64 (.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) 1/2)
(pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1)
(+.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)
(+.f64 0 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 0)
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re))))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(/.f64 1 (.f64 (/.f64 (pow.f64 (log.f64 base) 2) (.f64 (log.f64 base) (atan2.f64 im re))) 1))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) 1))
(/.f64 (log.f64 base) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 base) (/.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))))
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(/.f64 (neg.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) (/.f64 -1 (log.f64 base)))
(/.f64 (neg.f64 (/.f64 (*.f64 2 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) (neg.f64 (/.f64 2 (log.f64 base))))
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(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2)))) (/.f64 1 (log.f64 base)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (-.f64 0 (neg.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)

Outputs
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(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (pow.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (-.f64 0 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 1)
(/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 base))
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
✓	8.7b	(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re))

Compiler

Compiled 70 to 32 computations (54.3% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
1.0ms	im	@	inf	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
1.0ms	re	@	inf	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
1.0ms	base	@	0	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
1.0ms	im	@	0	(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`bool.json-1`
1386×	`bool.json-2`
1358×	`rational.json-1`
1358×	`rational.json-2`
1358×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	155	82
2	474	58
3	1220	58
4	4152	58

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (atan2.f64 im re) (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (/.f64 1 base)) (*.f64 (atan2.f64 im re) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (log.f64 (/.f64 1 base)) (/.f64 2 (atan2.f64 im re))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 (/.f64 1 base)) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 (/.f64 1 base)))) (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 4 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 (/.f64 1 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (-.f64 0 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (*.f64 (atan2.f64 im re) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) (neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))))))

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1116×	`rational.json-simplify-2`
918×	`rational.json-simplify-41`
840×	`rational.json-simplify-50`
768×	`rational.json-simplify-35`
640×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	5122
1	767	5050
2	2900	5038
3	5382	5014
4	6728	5014

Stop Event

1×	node limit

Counts

168 → 131

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
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(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
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(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
(/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 (/.f64 1 base)))
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(/.f64 (pow.f64 (atan2.f64 im re) 2) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
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(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) 1)
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(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))
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(.f64 1/2 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 (/.f64 1 base)))))
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(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (atan2.f64 im re))) (/.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (atan2.f64 im re)))
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(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))) -1)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))) -1)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) (/.f64 2 (atan2.f64 im re)))) (/.f64 2 (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) 4)) 4)
(.f64 (/.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 4)) (/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 4)) (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 (/.f64 1 base)) (.f64 (atan2.f64 im re) (atan2.f64 im re)))) (/.f64 (/.f64 1 (atan2.f64 im re)) (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (atan2.f64 im re) 4))) (/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 4))) (atan2.f64 im re)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (.f64 (log.f64 (/.f64 1 base)) 4))) (/.f64 (.f64 2 (*.f64 (atan2.f64 im re) 4)) (atan2.f64 im re)))
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(.f64 (/.f64 (atan2.f64 im re) (.f64 2 (neg.f64 (log.f64 (/.f64 1 base))))) (/.f64 (*.f64 2 (neg.f64 (atan2.f64 im re))) (atan2.f64 im re)))
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(*.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (atan2.f64 im re))) (/.f64 (/.f64 2 (log.f64 (/.f64 1 base))) (atan2.f64 im re)))
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(*.f64 (/.f64 (atan2.f64 im re) (/.f64 (neg.f64 (log.f64 (/.f64 1 base))) (atan2.f64 im re))) (/.f64 -1 (atan2.f64 im re)))
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(*.f64 (/.f64 (atan2.f64 im re) (/.f64 1/2 (atan2.f64 im re))) (/.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (atan2.f64 im re)))
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Outputs
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(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
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eval423.0ms (2.8%)

Compiler: Compiled 14261 to 7421 computations (48% saved)

prune226.0ms (1.5%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	834	4	838
Fresh	4	8	12
Picked	1	0	1
Done	0	10	10
Total	839	22	861

Error

Counts

861 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
	0.6b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
✓	0.4b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
✓	0.9b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	0.8b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.9b	(/.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))
✓	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.6b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	10.7b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	0.4b	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
✓	0.5b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	0.5b	(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
	0.4b	(.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 base)))
	0.5b	(.f64 (.f64 (log.f64 base) 1/2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))))
✓	0.3b	(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
	8.8b	(neg.f64 (/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
	8.8b	(neg.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (atan2.f64 im re)))
	13.4b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))

Compiler

Compiled 331 to 223 computations (32.6% saved)

regimes97.0ms (0.6%)

Counts

44 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (/.f64 1 (log.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 2 (log.f64 (/.f64 1 base))))))
(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base)))))))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 base))) (atan2.f64 im re)))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(.f64 (.f64 (log.f64 base) 1/2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 2 (log.f64 base))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base))) (*.f64 (log.f64 base) 2))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (atan2.f64 im re)))
(neg.f64 (/.f64 (.f64 (atan2.f64 im re) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (.f64 (log.f64 base) 2) (.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))) (log.f64 base))
(neg.f64 (.f64 (/.f64 1 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))))
(.f64 (atan2.f64 im re) (.f64 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)) (/.f64 (.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) (log.f64 (/.f64 1 base)))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 base))))

Outputs
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))

Calls

5 calls:

18.0ms	re
18.0ms	base
18.0ms	(log.f64 base)
17.0ms	im
15.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
0.3b	1	`re`
0.3b	1	`im`
0.3b	1	`base`
0.3b	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0.3b	1	`(log.f64 base)`

Compiler

Compiled 690 to 283 computations (59% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.4b remaining (-159.4%)

Threshold costs -0.4b (-159.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Calls

4 calls:

4.0ms	im
3.0ms	(log.f64 base)
3.0ms	base
3.0ms	re

Results

Error	Segments	Branch
0.3b	1	`re`
0.3b	1	`im`
0.3b	1	`base`
0.3b	1	`(log.f64 base)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness224.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1740×	`rational.json-simplify-51`
1426×	`rational.json-simplify-49`
1364×	`rational.json-simplify-2`
1292×	`rational.json-simplify-46`
1170×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	36	37
2	61	37
3	153	37
4	779	37
5	4504	37
6	7579	37
0	363	5372
1	1108	5276
2	5361	5120

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 151 to 65 computations (57% saved)

end17.0ms (0.1%)

Compiler: Compiled 18 to 11 computations (38.9% saved)