Details

analyze14.3s (43.9%)

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)

sample3.0s (9.1%)

Results

2.4s	8256×	body	256	valid
561.0ms	2173×	body	256	invalid

Bogosity

preprocess62.0ms (0.2%)

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)

simplify94.0ms (0.3%)

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%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(.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 (0.3%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
15.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
14.0ms	im	@	0	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
6.0ms	base	@	inf	(*.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))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`rational.json-simplify-35`
1026×	`rational.json-simplify-38`
914×	`rational.json-1`
914×	`rational.json-2`
914×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	75	77
2	196	43
3	637	43
4	2432	43

Stop Event

1×	node limit

Counts

3 → 234

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

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((#(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 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (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 (atan2.f64 im re) (log.f64 base)) 1)))) (#(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 (*.f64 (log.f64 base) 2) (/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (log.f64 base) 2) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.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 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.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 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (neg.f64 (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 4 (/.f64 (*.f64 (log.f64 base) 4) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 (*.f64 (log.f64 base) 2) (atan2.f64 im re))))))) (#(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 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 2 (log.f64 base))) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -2) (+.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (neg.f64 (atan2.f64 im 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(*.f64 (log.f64 base) (*.f64 (log.f64 base) 2))) (+.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))))))) (#(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 (/.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)))))) (#(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 (*.f64 (atan2.f64 im re) 4) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 base))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (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 (/.f64 2 (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 (log.f64 base) -2))))) (#(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) (*.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (neg.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base)))))))) (#(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 pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))))

simplify140.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-35`
990×	`rational.json-simplify-61`
832×	`rational.json-simplify-49`
736×	`rational.json-simplify-39`
730×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	7508
1	1564	6986
2	7047	6586

Stop Event

1×	node limit

Counts

294 → 304

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

localize22.0ms (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	base	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	inf	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))

rewrite217.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`rational.json-simplify-35`
992×	`rational.json-1`
992×	`rational.json-2`
992×	`rational.json-3`
968×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	76	61
2	203	41
3	642	41
4	2850	41

Stop Event

1×	node limit

Counts

3 → 572

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

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simplify442.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-49`
1498×	`rational.json-simplify-50`
1430×	`rational.json-simplify-46`
1212×	`rational.json-simplify-61`
1082×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	772	28250
1	2582	25608
2	7262	24270

Stop Event

1×	node limit

Counts

652 → 672

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

localize12.0ms (0%)

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)))
✓	0.3b	(*.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	im	@	-inf	(*.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	base	@	inf	(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-3`
1484×	`exponential.json-3`
1484×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	77	54
2	225	54
3	808	34
4	4334	34

Stop Event

1×	node limit

Counts

2 → 81

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

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-51`
928×	`rational.json-simplify-43`
798×	`rational.json-simplify-55`
692×	`rational.json-simplify-35`
642×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	2885
1	379	2861
2	1116	2861
3	4128	2861

Stop Event

1×	node limit

Counts

153 → 93

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

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

eval529.0ms (1.6%)

Compiler: Compiled 28910 to 9537 computations (67% saved)

prune545.0ms (1.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1229	25	1254
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1232	25	1257

Error

0.0b

Counts

1257 → 25

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 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base))
	0.5b	(/.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (neg.f64 (log.f64 base))) -1/2) (log.f64 base))
	0.4b	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
	0.6b	(/.f64 (/.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))) (log.f64 base))
	0.5b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
	0.3b	(/.f64 (/.f64 1 (/.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))
	0.5b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	0.5b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (/.f64 1 (.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)))
	0.6b	(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
	0.6b	(/.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)))
▶	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)))
▶	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
	0.4b	(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
▶	0.5b	(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
	0.7b	(.f64 (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(.f64 (/.f64 1 (.f64 (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))
▶	0.4b	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))

Compiler

Compiled 804 to 482 computations (40% saved)

localize9.0ms (0%)

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)

localize58.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite140.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational.json-1`
1776×	`rational.json-2`
1776×	`rational.json-3`
1726×	`rational.json-4`
1202×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	81	28
2	176	28
3	361	28
4	794	28
5	2455	28
6	6478	28

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.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 (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 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (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 (/.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 2 (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 (log.f64 (pow.f64 base 4)) (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 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 base))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 (pow.f64 base 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (log.f64 base)) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(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 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8) 8)))) (#(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 (*.f64 (atan2.f64 im re) 8) (log.f64 (pow.f64 base 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (*.f64 2 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re))) (*.f64 2 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re)) (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))) (neg.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (*.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (+.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 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 (*.f64 (atan2.f64 im re) 1/2) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 im re) -2)) (*.f64 (neg.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 8)) (*.f64 2 (log.f64 (pow.f64 base 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 8)) (neg.f64 (log.f64 (pow.f64 base 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 8) (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) (log.f64 (pow.f64 base 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 0 (*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 (pow.f64 base 4))))))) (#(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 (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 base))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4)) (neg.f64 (*.f64 (atan2.f64 im re) 4))) (*.f64 2 (neg.f64 (log.f64 (pow.f64 base 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (atan2.f64 im re) -2)) (*.f64 2 (*.f64 (atan2.f64 im re) -2))) (*.f64 2 (*.f64 (neg.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8)) (*.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8))) 32)))) (#(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))) (log.f64 (pow.f64 base 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (log.f64 base))) (-.f64 0 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (log.f64 base))) (-.f64 0 (/.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 1/2)) (-.f64 0 (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4))) (log.f64 (pow.f64 base 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4))) (-.f64 0 (neg.f64 (log.f64 (pow.f64 base 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (atan2.f64 im re) -2))) (-.f64 0 (*.f64 (neg.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 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 +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(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 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (log.f64 base)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 base)) (/.f64 2 (*.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))))))

simplify135.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-35`
1340×	`rational.json-simplify-61`
1326×	`rational.json-simplify-51`
984×	`rational.json-simplify-49`
928×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	2759
1	621	2735
2	1673	2735
3	5575	2735

Stop Event

1×	node limit

Counts

133 → 106

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 (/.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)))))
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(+.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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.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 2 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) 2)
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(/.f64 4 (/.f64 (log.f64 (pow.f64 base 4)) (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 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 base))) 4)
(/.f64 (*.f64 (atan2.f64 im re) 4) (log.f64 (pow.f64 base 4)))
(/.f64 8 (*.f64 2 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re))))
(/.f64 8 (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re)))
(/.f64 (/.f64 4 (log.f64 base)) (+.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))))
(/.f64 -2 (neg.f64 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 -2 (+.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
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(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re))))
(/.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8) 8)
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(/.f64 16 (+.f64 (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re)) (/.f64 (log.f64 (pow.f64 base 8)) (atan2.f64 im re))))
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(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 2)) 1/2)
(/.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 (sqrt.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) 2)))
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(/.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8)) 16)
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (*.f64 2 (log.f64 (pow.f64 base 8))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 8)) (neg.f64 (log.f64 (pow.f64 base 8))))
(/.f64 -1/2 (-.f64 0 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 base)) 8)
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))) 1/4)
(/.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 0 (*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re)))))
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(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) -2)
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 base))) 16)
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(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 1/2)) (-.f64 0 (log.f64 (sqrt.f64 base))))
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(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
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(-.f64 (/.f64 1 (log.f64 base)) 0)
(*.f64 1 (/.f64 1 (log.f64 base)))
(.f64 (log.f64 base) (/.f64 1 (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 2 (/.f64 1/2 (log.f64 base)))
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(*.f64 4 (/.f64 (/.f64 1 (log.f64 base)) 4))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(.f64 (log.f64 (sqrt.f64 base)) (/.f64 2 (.f64 (log.f64 base) (log.f64 base))))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(.f64 (/.f64 2 (.f64 (log.f64 base) (log.f64 base))) (log.f64 (sqrt.f64 base)))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 2))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) 4) 4)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(neg.f64 (/.f64 -1 (log.f64 base)))
(log.f64 (pow.f64 base (/.f64 1 (*.f64 (log.f64 base) (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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (log.f64 (pow.f64 base 4)) (.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) (.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re)))) (atan2.f64 im re))))
(/.f64 (/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))) (.f64 (log.f64 base) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 (/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (/.f64 (log.f64 base) (/.f64 (atan2.f64 im re) 2))) (atan2.f64 im re)) (log.f64 base))))
(/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (+.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))))
(/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (.f64 (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (log.f64 (pow.f64 base 4)) (.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) (.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re)))) (atan2.f64 im re))))
(/.f64 (/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (atan2.f64 im re)) (/.f64 2 (atan2.f64 im re))) (.f64 (log.f64 base) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (/.f64 2 (/.f64 (/.f64 (/.f64 (log.f64 (pow.f64 base 4)) (/.f64 (log.f64 base) (/.f64 (atan2.f64 im re) 2))) (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) 1/2) (log.f64 (sqrt.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 1/2) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) -2)) (*.f64 (neg.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)) 8)) 16)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 2 (.f64 (atan2.f64 im re) 8)) (*.f64 2 (log.f64 (pow.f64 base 8))))
(/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 (pow.f64 base 8)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 8)) (neg.f64 (log.f64 (pow.f64 base 8))))
(/.f64 (*.f64 (atan2.f64 im re) 8) (log.f64 (pow.f64 base 8)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 2))))
(/.f64 -1/2 (-.f64 0 (/.f64 (log.f64 (sqrt.f64 base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 8) (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) (log.f64 (pow.f64 base 4))) 1/4)
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 0 (*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 (pow.f64 base 4))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) -2)) (.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) -2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) 8) (log.f64 base))) 16)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (neg.f64 (.f64 (atan2.f64 im re) 4))) (*.f64 2 (neg.f64 (log.f64 (pow.f64 base 4)))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (+.f64 (.f64 2 (.f64 (atan2.f64 im re) -2)) (.f64 2 (.f64 (atan2.f64 im re) -2))) (.f64 2 (.f64 (neg.f64 (log.f64 base)) 4)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8)) (.f64 2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 8))) 32)
(/.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))) (log.f64 (pow.f64 base 4)))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (neg.f64 (/.f64 1 (log.f64 base))) (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.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 (atan2.f64 im re) 1/2)) (-.f64 0 (log.f64 (sqrt.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4))) (log.f64 (pow.f64 base 4)))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 4))) (-.f64 0 (neg.f64 (log.f64 (pow.f64 base 4)))))
(/.f64 (atan2.f64 im re) (/.f64 (log.f64 (pow.f64 base 4)) 4))
(*.f64 (atan2.f64 im re) (/.f64 4 (log.f64 (pow.f64 base 4))))
(*.f64 4 (/.f64 (atan2.f64 im re) (log.f64 (pow.f64 base 4))))
(/.f64 (neg.f64 (.f64 2 (.f64 (atan2.f64 im re) -2))) (-.f64 0 (*.f64 (neg.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))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(+.f64 0 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(-.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(.f64 (log.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 2 (/.f64 1/2 (log.f64 base)))
(.f64 (.f64 (log.f64 base) 2) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 4 (/.f64 (/.f64 1 (log.f64 base)) 4))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(.f64 (log.f64 (sqrt.f64 base)) (/.f64 2 (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (sqrt.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(*.f64 (/.f64 4 (log.f64 base)) 1/4)
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 1 (log.f64 base))
(.f64 (/.f64 2 (.f64 (log.f64 base) (log.f64 base))) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (log.f64 base)))
(.f64 (log.f64 (sqrt.f64 base)) (/.f64 2 (.f64 (log.f64 base) (log.f64 base))))
(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) 2))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) 4) 4)
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(neg.f64 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log.f64 (pow.f64 base (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 8 computations (78.9% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite166.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`rational.json-simplify-35`
1084×	`rational.json-1`
1084×	`rational.json-2`
1084×	`rational.json-3`
1062×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	76	64
2	205	64
3	649	64
4	2715	60

Stop Event

1×	node limit

Counts

2 → 304

Calls

Call 1

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

Outputs

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

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational.json-simplify-49`
1122×	`rational.json-simplify-51`
1100×	`rational.json-simplify-46`
1002×	`rational.json-simplify-50`
848×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	681	8982
1	2627	8720
2	6136	8634

Stop Event

1×	node limit

Counts

376 → 361

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 20 computations (57.4% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 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	im	@	0	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
0.0ms	base	@	-inf	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`rational.json-1`
1282×	`rational.json-2`
1282×	`rational.json-3`
1248×	`exponential.json-3`
1248×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	95
1	100	83
2	252	55
3	721	49
4	4046	49

Stop Event

1×	node limit

Counts

3 → 264

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify139.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1996×	`rational.json-simplify-35`
890×	`rational.json-simplify-46`
846×	`rational.json-simplify-49`
578×	`rational.json-simplify-38`
512×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	7160
1	1947	6798
2	5702	6714

Stop Event

1×	node limit

Counts

324 → 346

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 21 computations (61.1% saved)

series4.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2038×	`rational.json-1`
2038×	`rational.json-2`
1088×	`rational.json-simplify-35`
816×	`rational.json-3`
790×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	104	81
2	250	81
3	709	61
4	2253	49
5	6841	49

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1906×	`rational.json-simplify-35`
1228×	`rational.json-simplify-43`
1220×	`rational.json-simplify-46`
852×	`rational.json-simplify-2`
630×	`rational.json-simplify-39`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4346
1	680	4272
2	2067	4168
3	6519	4118

Stop Event

1×	node limit

Counts

172 → 180

Calls

Call 1

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

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

eval698.0ms (2.1%)

Compiler: Compiled 42138 to 16192 computations (61.6% saved)

prune1.1s (3.4%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	2065	8	2073
Fresh	11	9	20
Picked	1	0	1
Done	0	4	4
Total	2077	21	2098

Error

0.0b

Counts

2098 → 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 1 (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))) (/.f64 1 (log.f64 base)))
	0.5b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base))
	0.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 -1 (log.f64 base)))
▶	0.4b	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
	0.5b	(/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.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))
	0.7b	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))
	0.6b	(/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re)))
	0.6b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.6b	(/.f64 2 (*.f64 (log.f64 base) (/.f64 2 (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)))
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.5b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
	0.4b	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓	0.4b	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
▶	0.5b	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))

Compiler

Compiled 592 to 356 computations (39.9% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
✓	0.3b	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	0.4b	(/.f64 (*.f64 (log.f64 base) (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 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
0.0ms	base	@	-inf	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (log.f64 base) (atan2.f64 im re))
0.0ms	base	@	-inf	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
0.0ms	base	@	0	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))

rewrite137.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`rational.json-1`
1148×	`rational.json-2`
1148×	`rational.json-3`
1128×	`rational.json-simplify-50`
1118×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	81
1	78	81
2	228	41
3	777	41
4	3151	41

Stop Event

1×	node limit

Counts

3 → 618

Calls

Call 1

Inputs
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (/.f64 (*.f64 (log.f64 base) (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 (atan2.f64 im re) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 im re) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) 1/2) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (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 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 (pow.f64 base (/.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))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 2) (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.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 2 (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) -2)) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 4)) (/.f64 1 (*.f64 (log.f64 base) 4)))))) (#(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 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 1 (log.f64 base))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 4)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (/.f64 1 (log.f64 base)))) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 2) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (log.f64 base) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (*.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 1/2) (/.f64 (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 2 (*.f64 (atan2.f64 im re) 4)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (log.f64 base))) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (*.f64 (log.f64 base) 2) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (log.f64 base) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 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simplify694.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational.json-simplify-55`
1138×	`rational.json-simplify-35`
1132×	`rational.json-simplify-2`
974×	`rational.json-simplify-50`
544×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1289	36174
1	4221	35532
2	5671	34330
3	7661	34324

Stop Event

1×	node limit

Counts

698 → 1455

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

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

localize10.0ms (0%)

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)

series4.0ms (0%)

Counts

2 → 44

Calls

18 calls:

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

rewrite144.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-1`
1634×	`rational.json-2`
1634×	`rational.json-3`
1616×	`rational.json-4`
1608×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	84	34
2	205	34
3	485	34
4	1280	34
5	4235	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 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) (*.f64 (*.f64 (atan2.f64 im re) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (log.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 (*.f64 (log.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 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re))) 1/2))))) (#(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 1/2 (log.f64 base)) (*.f64 (atan2.f64 im re) 2))))) (#(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) (neg.f64 (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 1 (*.f64 (log.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 +.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 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) (/.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> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 base) 2) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 base (/.f64 1/2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (atan2.f64 im re))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (/.f64 1 (*.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (*.f64 (/.f64 1 (*.f64 (atan2.f64 im re) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (*.f64 1/4 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (*.f64 1/2 (/.f64 1/2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (/.f64 1 (/.f64 1 (log.f64 base))) 1))))) (#(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 (/.f64 (log.f64 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 (log.f64 base) 1/2))))) (#(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 1/2 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(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)) (*.f64 (log.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 (log.f64 base) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (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))))))))

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1594×	`rational.json-simplify-51`
1226×	`rational.json-simplify-44`
1176×	`rational.json-simplify-61`
1176×	`rational.json-simplify-47`
812×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2946
1	496	2880
2	1364	2878
3	5522	2878

Stop Event

1×	node limit

Counts

146 → 122

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

localize86.0ms (0.3%)

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))
	0.3b	(*.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	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	@	-inf	(pow.f64 (log.f64 base) 2)
0.0ms	base	@	0	(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))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`rational.json-1`
1096×	`rational.json-2`
1096×	`rational.json-3`
1070×	`rational.json-4`
1062×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	80	44
2	195	44
3	512	44
4	1545	44
5	3842	44

Stop Event

1×	node limit

Counts

2 → 117

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 -1 (-.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (log.f64 base) 2) 2) (/.f64 (pow.f64 (log.f64 base) 2) 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 (log.f64 (sqrt.f64 base)) 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 (/.f64 (pow.f64 (log.f64 base) 2) 2) 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 (pow.f64 (log.f64 (sqrt.f64 base)) 2) 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 +.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 -1 (-.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 (log.f64 (pow.f64 base (atan2.f64 im re))) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (*.f64 (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 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))) 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 (*.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 (pow.f64 base (atan2.f64 im re))) (neg.f64 (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 2 (*.f64 (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 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 2 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2) (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) 4)) (*.f64 (log.f64 base) (*.f64 2 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.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 2 (log.f64 (pow.f64 base (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.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 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 (pow.f64 (pow.f64 base 2) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (log.f64 (pow.f64 (pow.f64 base 2) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2))))))) (#(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 (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 1 (log.f64 (pow.f64 (pow.f64 base (*.f64 2 (atan2.f64 im re))) (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 2 (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) (*.f64 2 (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 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (*.f64 1/2 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (atan2.f64 im re)) (log.f64 (pow.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)) (log.f64 (pow.f64 base (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (*.f64 2 (/.f64 (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 (log.f64 base) (*.f64 (atan2.f64 im re) 4)) (*.f64 1/2 (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(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 (*.f64 (log.f64 base) (neg.f64 (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 4 (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2))) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) 2) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))) (/.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))) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (log.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 1/4 (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) 4) (*.f64 (/.f64 1/2 (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) 4) (*.f64 1/2 (*.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) 4) (*.f64 (*.f64 (atan2.f64 im re) 1/2) (/.f64 1/2 (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) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (sqrt.f64 base)) (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 (log.f64 base) (*.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 base)) (*.f64 2 (/.f64 (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 (log.f64 base) (/.f64 2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) 1/2) (log.f64 (pow.f64 (pow.f64 base 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 base) (*.f64 2 (/.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 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) -2) (*.f64 -1 (/.f64 1/2 (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 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (log.f64 (pow.f64 base (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) (/.f64 1/2 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/2) (*.f64 (log.f64 base) (*.f64 2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))))) (#(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 1/2 (pow.f64 (log.f64 base) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (*.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(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 (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 2 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) 2)))) (*.f64 -1 (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (atan2.f64 im re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))) 2)))) (#(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 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) (/.f64 -1 (pow.f64 (log.f64 base) 2))) (*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (sqrt.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 (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))))))))

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-51`
1022×	`rational.json-simplify-2`
884×	`exponential.json-simplify-29`
614×	`rational.json-simplify-49`
560×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	4353
1	586	4329
2	1456	4249
3	4030	4243
4	7809	4243

Stop Event

1×	node limit

Counts

161 → 134

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 16 computations (67.3% saved)

series2.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite124.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-3`
1208×	`exponential.json-3`
1208×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	99	85
2	247	71
3	684	65
4	3041	65

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify1.0s (3.1%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-35`
722×	`rational.json-simplify-51`
680×	`rational.json-simplify-44`
592×	`rational.json-simplify-49`
558×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	7074
1	1313	6826
2	4867	6748

Stop Event

1×	node limit

Counts

254 → 209

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 16 computations (62.8% saved)

series1.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`rational.json-1`
1678×	`rational.json-2`
1678×	`rational.json-3`
1620×	`exponential.json-3`
1620×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	107	60
2	353	34
3	1538	34
4	5003	34

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational.json-simplify-35`
1220×	`rational.json-simplify-2`
884×	`exponential.json-simplify-29`
788×	`rational.json-simplify-43`
720×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2790
1	358	2758
2	758	2734
3	2350	2734
4	5150	2734

Stop Event

1×	node limit

Counts

142 → 87

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

eval3.7s (11.4%)

Compiler: Compiled 52094 to 20025 computations (61.6% saved)

prune874.0ms (2.7%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	2412	9	2421
Fresh	7	5	12
Picked	1	0	1
Done	1	7	8
Total	2421	21	2442

Error

0.0b

Counts

2442 → 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 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
	0.5b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (log.f64 base)) (log.f64 base))
▶	0.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 -1 (log.f64 base)))
	0.4b	(/.f64 (/.f64 (/.f64 -1 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 -1 (log.f64 base)) (atan2.f64 im re)))
✓	0.4b	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
✓	0.4b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	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)))
▶	0.6b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	0.6b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
▶	0.6b	(/.f64 2 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
✓	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	11.9b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	14.6b	(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
▶	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2))))
▶	0.4b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	10.1b	(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	0.4b	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
	0.5b	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2))))

Compiler

Compiled 542 to 341 computations (37.1% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))
✓	0.3b	(*.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	im	@	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	base	@	-inf	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2))

rewrite100.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`rational.json-1`
1864×	`rational.json-2`
1864×	`rational.json-3`
1854×	`rational.json-4`
1846×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	78	56
2	175	56
3	409	56
4	1055	56
5	4775	56

Stop Event

1×	node limit

Counts

2 → 196

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 (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 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (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 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (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)) (/.f64 2 (log.f64 base))) 1))))) (#(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) (pow.f64 (log.f64 base) 2)) (*.f64 (/.f64 1 (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (*.f64 1/2 (/.f64 2 (log.f64 base))))))) (#(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 (pow.f64 (log.f64 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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 (*.f64 (atan2.f64 im re) 1/2) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (atan2.f64 im re) 1/2) (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 (*.f64 (atan2.f64 im re) 1/2) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) 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(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 egg-rr> (2) ((x *.f64 (/.f64 1 (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 1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 1 (*.f64 (/.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 *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 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2)) (*.f64 2 (*.f64 (/.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 *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1/2 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) -2) (/.f64 1 (neg.f64 (*.f64 2 (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) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1/2 (atan2.f64 im re))) (/.f64 2 (*.f64 (/.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 *.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (/.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 *.f64 (/.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (atan2.f64 im re) 1/2) (pow.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (*.f64 (/.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 *.f64 (/.f64 2 (*.f64 (pow.f64 (log.f64 base) 2) 8)) (*.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (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) 1/2) (/.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (atan2.f64 im re) 4) (pow.f64 (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 (/.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 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)))))))

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1042×	`rational.json-simplify-51`
900×	`rational.json-simplify-44`
806×	`rational.json-simplify-61`
742×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	7724
1	1614	7664
2	5957	7650

Stop Event

1×	node limit

Counts

240 → 223

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 2 (atan2.f64 im re))
✓	0.3b	(*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))
✓	0.4b	(/.f64 2 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

24 calls:

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

rewrite91.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-3`
1478×	`rational.json-4`
1468×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	83	65
2	216	53
3	670	53
4	2337	53
5	5504	53

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

simplify153.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

814×	`rational.json-simplify-35`
782×	`rational.json-simplify-41`
754×	`rational.json-simplify-19`
738×	`rational.json-simplify-39`
726×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	5076
1	861	4984
2	2585	4972
3	4123	4970
4	7490	4970

Stop Event

1×	node limit

Counts

222 → 176

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

localize13.0ms (0%)

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)
✓	0.5b	(/.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	base	@	-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))
0.0ms	im	@	-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))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational.json-1`
1816×	`rational.json-2`
1816×	`rational.json-3`
1778×	`rational.json-4`
1556×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	82	56
2	218	56
3	645	56
4	2284	56
5	6277	56

Stop Event

1×	node limit

Counts

2 → 82

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

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational.json-simplify-53`
908×	`rational.json-simplify-41`
860×	`rational.json-simplify-2`
796×	`exponential.json-simplify-26`
702×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	3478
1	338	3454
2	748	3430
3	2339	3406
4	3924	3406
5	6221	3406

Stop Event

1×	node limit

Counts

126 → 94

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 24 computations (46.7% saved)

series1.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational.json-1`
1194×	`rational.json-2`
1194×	`rational.json-3`
1174×	`rational.json-4`
1168×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	101	71
2	218	71
3	471	71
4	1102	71
5	3724	71

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(*.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2)))
(/.f64 1 (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 (sqrt.f64 base)) (pow.f64 (log.f64 base) 2))) (*.f64 (atan2.f64 im re) (/.f64 (log.f64 (sqrt.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 1 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)) (atan2.f64 im re)))))) (#(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 (pow.f64 (log.f64 base) 2) (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 2 (atan2.f64 im re))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1)))) (#(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 4 (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (*.f64 2 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) 2) (*.f64 (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) 2) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (log.f64 base) (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) (log.f64 base)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 8) (*.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 2) 1/2)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) 4) (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) 4) (log.f64 base)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (/.f64 1 (*.f64 2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (log.f64 base) 2)) (/.f64 1/2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 4))))) (#(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 (/.f64 1 (pow.f64 (log.f64 base) 2)) 4) 1/4)))) (#(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 (/.f64 1/2 (pow.f64 (log.f64 base) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)) (*.f64 (pow.f64 (log.f64 base) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) 1/2) (/.f64 2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2))) (*.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)) (*.f64 2 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 (log.f64 base) 2)))))))

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-35`
1214×	`rational.json-simplify-43`
1056×	`rational.json-simplify-2`
1010×	`rational.json-simplify-50`
592×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	349	5928
1	1212	5896
2	3826	5896
3	6578	5884

Stop Event

1×	node limit

Counts

214 → 182

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 14 computations (72% saved)

series5.0ms (0%)

Counts

3 → 80

Calls

21 calls:

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

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-simplify-35`
1318×	`rational.json-1`
1318×	`rational.json-2`
1318×	`rational.json-3`
1284×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	114	87
2	416	59
3	2047	59
4	5017	59

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs

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

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

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

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

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-35`
1202×	`rational.json-simplify-54`
986×	`rational.json-simplify-41`
924×	`rational.json-simplify-2`
864×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	3774
1	247	3670
2	601	3490
3	2239	3490
4	5438	3490

Stop Event

1×	node limit

Counts

152 → 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))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) 2)))
(.f64 -1 (/.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)))
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(/.f64 1 (log.f64 (/.f64 1 base)))
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(/.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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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))))
(*.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 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(.f64 (neg.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
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(.f64 (.f64 (log.f64 base) 2) (/.f64 1 (.f64 (log.f64 base) (.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 2) (/.f64 1 (.f64 (/.f64 -1 (log.f64 base)) 2)))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1)
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (/.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(.f64 (.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (neg.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(.f64 (/.f64 1 (.f64 (log.f64 base) (.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))) (.f64 (log.f64 base) 2))
(.f64 (/.f64 1 (.f64 (/.f64 -1 (log.f64 base)) 2)) (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 2))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(.f64 (/.f64 -1 (.f64 (log.f64 base) -2)) (*.f64 (atan2.f64 im re) 2))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 0)
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(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
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(.f64 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 2) 1/2)
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(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 1 (log.f64 base)))
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(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) -1)
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 2))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))) (.f64 (atan2.f64 im re) 2))
(.f64 (/.f64 -1 (.f64 (log.f64 base) 2)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
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(*.f64 (/.f64 -1 (log.f64 base)) 1)
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(.f64 (.f64 (/.f64 -1 (log.f64 base)) 2) 1/2)
(*.f64 (/.f64 1 (log.f64 base)) -1)
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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))
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(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 1)
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(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
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(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
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(.f64 (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))) 2) 1/2)
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(*.f64 (/.f64 -1 (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 (log.f64 base)) -1)
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(*.f64 (neg.f64 (/.f64 -1 (log.f64 base))) -1)
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(.f64 1/2 (.f64 (/.f64 -1 (log.f64 base)) 2))
(+.f64 -1 (-.f64 1 (/.f64 1 (log.f64 base))))
(/.f64 -1 (log.f64 base))
(pow.f64 (/.f64 -1 (log.f64 base)) 1)
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(/.f64 -1 (log.f64 base))
(neg.f64 (/.f64 1 (log.f64 base)))
(+.f64 -1 (-.f64 1 (/.f64 1 (log.f64 base))))
(/.f64 -1 (log.f64 base))
(neg.f64 (neg.f64 (/.f64 -1 (log.f64 base))))
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(/.f64 -1 (log.f64 base))

eval338.0ms (1%)

Compiler: Compiled 28201 to 12696 computations (55% saved)

prune663.0ms (2%)

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	1369	4	1373
Fresh	3	6	9
Picked	0	1	1
Done	0	11	11
Total	1372	22	1394

Error

0.0b

Counts

1394 → 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 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
	0.5b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (log.f64 base)) (log.f64 base))
✓	0.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 -1 (log.f64 base)))
✓	0.4b	(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
	0.5b	(/.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))
	0.7b	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re)))
✓	0.6b	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (atan2.f64 im re)))
	0.6b	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	0.6b	(/.f64 2 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
✓	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	11.9b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	14.6b	(+.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1) -1)
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
✓	0.5b	(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2))))
✓	0.4b	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	10.1b	(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.5b	(.f64 (.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2))) (log.f64 base))
✓	0.4b	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))

Compiler

Compiled 331 to 210 computations (36.6% saved)

regimes261.0ms (0.8%)

Accuracy

Total -40.4b remaining (-12158.8%)

Threshold costs -40.4b (-12158.8%)

Counts

50 → 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)))
(+.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1) -1)
(/.f64 2 (*.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re))))
(/.f64 (/.f64 1 (/.f64 1 (atan2.f64 im re))) (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(+.f64 -1 (-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(*.f64 (log.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)) (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 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(.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 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (log.f64 base) 2))) (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 1 (pow.f64 (log.f64 base) 2))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 1 (*.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)))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 -1 (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 1 (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 1 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) (/.f64 2 (atan2.f64 im re)))) (log.f64 base))
(/.f64 (/.f64 (/.f64 -1 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 -1 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 (/.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (neg.f64 (log.f64 base))) -1/2) (log.f64 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 (/.f64 1 (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 base) (log.f64 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)))

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

Calls

5 calls:

108.0ms	(/.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)))
67.0ms	(log.f64 base)
32.0ms	base
21.0ms	im
21.0ms	re

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 715 to 264 computations (63.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness129.0ms (0.4%)

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

Compiler

Compiled 119 to 44 computations (63% saved)

end14.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)