Details

analyze234.0ms (2%)

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)

sample2.8s (24%)

Results

2.2s	8256×	body	256	valid
508.0ms	1983×	body	256	invalid

Bogosity

preprocess31.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1122×	`rational.json-simplify-15`
1072×	`rational.json-simplify-20`
1046×	`rational.json-simplify-18`
714×	`rational.json-simplify-19`
672×	`rational.json-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	300
1	131	300
2	379	300
3	1748	300
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)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.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)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.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)) (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))))) (*.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)) (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))))) (*.f64 (log.f64 im) (log.f64 im)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1628×	`rational.json-simplify-1`
1520×	`rational.json-simplify-13`
1376×	`rational.json-simplify-11`
1184×	`rational.json-simplify-9`
1102×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	44	75
2	117	75
3	494	75
4	3102	75

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 55 to 24 computations (56.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.f64 (log.f64 base) (log.f64 base)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	27.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 106 to 22 computations (79.2% saved)

series80.0ms (0.7%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
23.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
16.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
16.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
10.0ms	im	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
8.0ms	re	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite122.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational.json-1`
1214×	`rational.json-2`
1214×	`rational.json-4`
1214×	`rational.json-3`
1052×	`rational.json-simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	130
1	117	130
2	461	130
3	3242	130

Stop Event

1×	node limit

Counts

4 → 337

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (+.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 2) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 0 (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) (-.f64 0 (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (.f64 (log.f64 base) (log.f64 base)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 0 (/.f64 1 (log.f64 base))))))) (#(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) 0) (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 0 (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (.f64 (log.f64 base) (log.f64 base)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 0 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 0) (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (/.f64 0 (/.f64 1 (log.f64 base))) (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 0 (.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 0) (.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (/.f64 0 (/.f64 1 (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 0) (.f64 (.f64 (log.f64 base) (log.f64 base)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 0 (/.f64 0 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 0) (/.f64 0 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 0) (/.f64 0 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (/.f64 0 (/.f64 1 (log.f64 base))) (/.f64 0 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (+.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) 0) (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) 0) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (neg.f64 (log.f64 base))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (log.f64 base) 2) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)) 2) (.f64 (log.f64 base) (.f64 (log.f64 base) 3)))))) (#(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 (neg.f64 (.f64 (log.f64 base) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (.f64 -1 (/.f64 1 (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 0 (/.f64 1 (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 neg.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))))))
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simplify212.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

810×	`rational.json-simplify-13`
748×	`rational.json-simplify-51`
666×	`rational.json-simplify-15`
604×	`rational.json-simplify-11`
576×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	27503
1	1861	26699

Stop Event

1×	node limit

Counts

445 → 504

Calls

Call 1

Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
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re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
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im
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(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)
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Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))
(+.f64 im (/.f64 (pow.f64 re 2) (/.f64 im 1/2)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im))) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(+.f64 im (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 im 3) (pow.f64 re 4))) (/.f64 (pow.f64 re 2) (/.f64 im 1/2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 im (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))))))
(+.f64 (/.f64 (pow.f64 re 2) (/.f64 im 1/2)) (+.f64 im (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 im 3) (pow.f64 re 4))) (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) 1/16)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 re (/.f64 (pow.f64 im 2) (/.f64 re 1/2)))
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eval162.0ms (1.4%)

Compiler: Compiled 20133 to 5962 computations (70.4% saved)

prune146.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	487	17	504
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	488	17	505

Error

0.1b

Counts

505 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	30.0b	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
	30.0b	(/.f64 (-.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
▶	30.0b	(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
	30.0b	(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
	30.2b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (-.f64 (.f64 (log.f64 base) 4) (.f64 3 (log.f64 base)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.f64 (log.f64 base) (log.f64 base)))
	30.0b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (.f64 re -1)) 0)) (.f64 (log.f64 base) (log.f64 base)))
▶	29.9b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (pow.f64 (log.f64 base) 2))
	30.0b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (/.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
	30.2b	(/.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) (.f64 (log.f64 base) 4)) (.f64 3 (.f64 (log.f64 base) (log.f64 base)))))
	34.4b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 re) 0)) (*.f64 (log.f64 base) (log.f64 base)))
	30.9b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 im) 0)) (*.f64 (log.f64 base) (log.f64 base)))
	30.1b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) (.f64 3 (log.f64 base))) (-.f64 (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 2 (.f64 (log.f64 base) (log.f64 base))))
▶	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
	29.9b	(.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)) (log.f64 base)) (/.f64 1 (log.f64 base)))
	30.0b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))
	30.1b	(.f64 2 (/.f64 1/2 (/.f64 (log.f64 base) (/.f64 (+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)) (log.f64 base)))))

Compiler

Compiled 916 to 574 computations (37.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series45.0ms (0.4%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
7.0ms	base	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
7.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
1.0ms	re	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational.json-1`
1526×	`rational.json-2`
1526×	`rational.json-3`
808×	`rational.json-simplify-5`
470×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	73	38
2	227	38
3	1038	38
4	6360	38

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs
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simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-33`
1142×	`rational.json-simplify-36`
1032×	`rational.json-simplify-39`
770×	`rational.json-simplify-15`
692×	`rational.json-simplify-30`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	270	4410
1	804	4402
2	4484	4402

Stop Event

1×	node limit

Counts

188 → 159

Calls

Call 1

Inputs
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(*.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) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2)) (/.f64 2 (/.f64 -1/2 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (atan2.f64 im re) (/.f64 -1/2 (log.f64 (/.f64 1 base)))) 2)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (.f64 (atan2.f64 im re) 2))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (/.f64 -1 (/.f64 -1/2 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 -2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 (/.f64 1 base)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (.f64 (atan2.f64 im re) -2) 2) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (.f64 (atan2.f64 im re) -2) 2) (.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) 1/2))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (.f64 (atan2.f64 im re) -2) 2) (-.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) (.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) -1/2))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(+.f64 (log.f64 (/.f64 1 base)) 0)
(log.f64 (/.f64 1 base))
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(log.f64 (/.f64 1 base))
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(log.f64 (/.f64 1 base))
(+.f64 (*.f64 (log.f64 (/.f64 1 base)) 0) (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
(+.f64 (.f64 (log.f64 (/.f64 1 base)) -2) (.f64 (log.f64 (/.f64 1 base)) 3))
(log.f64 (/.f64 1 base))
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(-.f64 (log.f64 (/.f64 1 base)) 0)
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(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 0))
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(-.f64 (log.f64 (/.f64 1 base)) (+.f64 (.f64 (log.f64 (/.f64 1 base)) 0) (.f64 (log.f64 (/.f64 1 base)) 0)))
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(-.f64 (.f64 (.f64 (log.f64 (/.f64 1 base)) 3) 1/2) (*.f64 1/2 (log.f64 (/.f64 1 base))))
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(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (/.f64 (log.f64 (/.f64 1 base)) 1/4)) (+.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (*.f64 (log.f64 (/.f64 1 base)) 3)))
(log.f64 (/.f64 1 base))
(*.f64 1 (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
(*.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(*.f64 2 (/.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 1 base))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 base)) 2))
(log.f64 (/.f64 1 base))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(log.f64 (/.f64 1 base))
(.f64 -1/2 (.f64 (log.f64 (/.f64 1 base)) -2))
(log.f64 (/.f64 1 base))
(.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3)))
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) 2) 1/2)
(log.f64 (/.f64 1 base))
(.f64 (.f64 (log.f64 (/.f64 1 base)) -2) -1/2)
(log.f64 (/.f64 1 base))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 (log.f64 (/.f64 1 base)) 1)
(log.f64 (/.f64 1 base))
(/.f64 1/2 (/.f64 1/2 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 -1 (/.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(/.f64 -1 (*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) -1))
(log.f64 (/.f64 1 base))
(/.f64 -1 (-.f64 0 (/.f64 1 (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 1 base))
(/.f64 (neg.f64 (log.f64 (/.f64 1 base))) -1)
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) 1/2) 1/2)
(log.f64 (/.f64 1 base))
(/.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 base))) 1/2) -1/2)
(log.f64 (/.f64 1 base))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

9 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational.json-1`
1216×	`rational.json-2`
1216×	`rational.json-4`
1216×	`rational.json-3`
1054×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	51	17
2	159	17
3	709	17
4	4314	17

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-29`
1026×	`rational.json-simplify-15`
934×	`rational.json-simplify-16`
856×	`rational.json-simplify-1`
808×	`rational.json-simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	291	2890
1	938	2786
2	4109	2786

Stop Event

1×	node limit

Counts

146 → 152

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) 0))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 0 (log.f64 base))))
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(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (*.f64 (atan2.f64 im re) 0) (/.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 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0) (.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
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(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (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 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) 0) (*.f64 (atan2.f64 im re) 0))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (-.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.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) (log.f64 base))) (+.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 0 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))
(/.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 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) 0)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 3)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (/.f64 1 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 2) 2)) (.f64 (/.f64 1 (log.f64 base)) (*.f64 (atan2.f64 im re) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 2) 0) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)) (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0))) (+.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (-.f64 (/.f64 0 (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (-.f64 (/.f64 0 (log.f64 base)) (.f64 (atan2.f64 im re) 0))) (+.f64 (-.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (atan2.f64 im re) 0)) (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (atan2.f64 im re) 0))) (+.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (atan2.f64 im re) 0)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (+.f64 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))) (+.f64 (+.f64 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2)) (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2))) (+.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) (.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))) (+.f64 (.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 3)) (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 3))) (+.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 3)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (/.f64 1 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 2) 2)) (.f64 (/.f64 1 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 2) 2))) (+.f64 (.f64 (/.f64 1 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 2) 2)) (.f64 (/.f64 1 (log.f64 base)) (*.f64 (atan2.f64 im re) 3))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2)))) (+.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 2) 0) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (+.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))))) (+.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) 2) (/.f64 1/2 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 1/2 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (.f64 -1 (*.f64 (atan2.f64 im re) 0)) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) -1) (/.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) -1)))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 2 (.f64 (atan2.f64 im re) 2))) -1))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) -3) (neg.f64 (.f64 (atan2.f64 im re) 4))) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) -1/2) (.f64 -1/2 (.f64 (atan2.f64 im re) 3))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (.f64 (.f64 (atan2.f64 im re) 2) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (-.f64 (.f64 -1 (.f64 (atan2.f64 im re) 3)) (.f64 -1 (.f64 (.f64 (atan2.f64 im re) 2) 2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 2 (.f64 (atan2.f64 im re) 2))) -1))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) -3) (neg.f64 (.f64 (atan2.f64 im re) 4))) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (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))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (-.f64 0 (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (/.f64 1 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 1 (log.f64 base)) 1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 1 (log.f64 base)) (.f64 (/.f64 1 (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.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 -1/2 (-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1/2 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1/2 (.f64 (/.f64 1 (log.f64 base)) (neg.f64 (*.f64 (atan2.f64 im re) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1/2 (-.f64 0 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1/2 (-.f64 (/.f64 0 (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1/2 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 1/2 (/.f64 1/2 (log.f64 base))) (.f64 (.f64 (atan2.f64 im re) 2) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 1/2 (/.f64 1/2 (log.f64 base))) (/.f64 2 (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 2 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 -1/2 (log.f64 base)) (neg.f64 (.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -1 (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 3)) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) 3) (+.f64 (atan2.f64 im re) (.f64 (.f64 (atan2.f64 im re) 2) 2))))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) 3) (+.f64 (atan2.f64 im re) (.f64 2 (.f64 (atan2.f64 im re) 2)))))
(.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) 4) (-.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 3))))
(.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (atan2.f64 im re) (-.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 3))))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (.f64 (atan2.f64 im re) 2) 2)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) (.f64 (.f64 (atan2.f64 im re) 2) 2))))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 2 (.f64 (atan2.f64 im re) 2))) (+.f64 (.f64 2 (.f64 (atan2.f64 im re) 2)) (.f64 2 (.f64 (atan2.f64 im re) 2)))))
(.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 2)))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) (+.f64 (.f64 (atan2.f64 im re) 3) (*.f64 (atan2.f64 im re) 3))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (/.f64 -1/2 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 1 (log.f64 base)) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (-.f64 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (.f64 (atan2.f64 im re) 2) 2) (.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.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) (log.f64 base))) -1/2)
(/.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 -2 (/.f64 1/2 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (.f64 (atan2.f64 im re) 2) (neg.f64 (log.f64 base))) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (neg.f64 (*.f64 (atan2.f64 im re) 2))) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -1/2) (neg.f64 (*.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 0 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 (/.f64 0 (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1 (/.f64 1/2 (atan2.f64 im re))) (/.f64 -1/2 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 2 (/.f64 1/2 (atan2.f64 im re))) (.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (-.f64 0 (/.f64 1 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (/.f64 1 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (+.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (*.f64 (atan2.f64 im re) 2))) (/.f64 1/2 (/.f64 (log.f64 base) -1/2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1/2 (/.f64 (log.f64 base) -1/2)) (+.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (*.f64 (atan2.f64 im re) 2))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1/2 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) -2)
(/.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))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (pow.f64 (log.f64 base) 2))
	0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(pow.f64 (log.f64 base) 2)
	27.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 105 to 26 computations (75.2% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational.json-simplify-25`
1122×	`rational.json-simplify-34`
966×	`rational.json-1`
966×	`rational.json-2`
966×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	119	82
2	422	82
3	2623	82

Stop Event

1×	node limit

Counts

2 → 239

Calls

Call 1

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

Outputs

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

simplify186.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

916×	`rational.json-simplify-13`
724×	`rational.json-simplify-15`
658×	`rational.json-simplify-34`
582×	`rational.json-simplify-3`
576×	`rational.json-simplify-25`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	22537
1	1961	21649

Stop Event

1×	node limit

Counts

283 → 320

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

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	27.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 117 to 33 computations (71.8% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-4`
1540×	`rational.json-3`
972×	`rational.json-simplify-28`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
1	135	92
2	550	92
3	4109	92

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

Inputs

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

(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (*.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 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 0 (*.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 0 (*.f64 (atan2.f64 im re) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 0 (*.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (*.f64 (log.f64 base) 0) (*.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (*.f64 (atan2.f64 im re) 0) (*.f64 (log.f64 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simplify174.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational.json-simplify-27`
888×	`rational.json-simplify-26`
626×	`rational.json-simplify-39`
546×	`rational.json-simplify-51`
492×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	12462
1	1345	11968
2	6809	11964

Stop Event

1×	node limit

Counts

248 → 230

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓	0.4b	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	27.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 132 to 42 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational.json-simplify-3`
788×	`rational.json-simplify-31`
704×	`rational.json-simplify-13`
698×	`rational.json-simplify-5`
592×	`rational.json-simplify-38`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	77	40
2	274	40
3	1562	40

Stop Event

1×	node limit

Counts

2 → 322

Calls

Call 1

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

Outputs

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simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational.json-simplify-3`
740×	`rational.json-simplify-39`
736×	`rational.json-simplify-18`
646×	`rational.json-simplify-51`
576×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	614	9462
1	2015	8992

Stop Event

1×	node limit

Counts

394 → 358

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 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
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(/.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)))
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(.f64 (/.f64 4 (atan2.f64 im re)) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (.f64 (log.f64 base) 2))))
(.f64 (+.f64 (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base)))) -1/2)
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(neg.f64 (/.f64 -1 (*.f64 (atan2.f64 im re) (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))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (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 0 (log.f64 base)) (*.f64 (neg.f64 (/.f64 1 (log.f64 base))) (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
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(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (/.f64 -1 (atan2.f64 im re)) (.f64 (log.f64 base) 2)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (/.f64 -1 (log.f64 base)) (.f64 (atan2.f64 im re) 2)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 -1 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 0 (atan2.f64 im re)) (log.f64 base)) (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 0 (.f64 (log.f64 base) 2)) (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base)) (/.f64 (/.f64 0 (atan2.f64 im re)) (log.f64 base))) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 0 (/.f64 0 (.f64 (log.f64 base) 2))) (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (.f64 (log.f64 base) 2))) (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base)) (/.f64 0 (*.f64 (log.f64 base) 2))) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (atan2.f64 im re))) (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base)) (/.f64 0 (atan2.f64 im re))) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (+.f64 (/.f64 0 (log.f64 base)) (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base))) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 3 (atan2.f64 im re)) (.f64 (log.f64 base) 2)) (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)) 2) (/.f64 1/2 (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (/.f64 1/2 (log.f64 base)))) (/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 (/.f64 3 (atan2.f64 im re)) (/.f64 1 (/.f64 1/2 (log.f64 base)))) (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (/.f64 1/2 (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (/.f64 0 (neg.f64 (.f64 (log.f64 base) 2))) (/.f64 (/.f64 2 (atan2.f64 im re)) (neg.f64 (.f64 (log.f64 base) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (*.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 1 (log.f64 base))) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (*.f64 (/.f64 (/.f64 4 (atan2.f64 im re)) (log.f64 base)) 1/2) (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base)) 1/2) (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 (/.f64 3 (atan2.f64 im re)) (/.f64 1/2 (log.f64 base))) (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 (/.f64 0 (log.f64 base)) -1) (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 0 (/.f64 -1 (atan2.f64 im re))) (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 (log.f64 base)))) (.f64 (neg.f64 (/.f64 2 (log.f64 base))) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 0 (neg.f64 (/.f64 2 (atan2.f64 im re)))) (.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))) (/.f64 1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(-.f64 (.f64 0 (neg.f64 (/.f64 1/2 (log.f64 base)))) (.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) (/.f64 2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)) 1)
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 2 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 1/2 (*.f64 (atan2.f64 im re) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 2 (.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 1/2 (*.f64 (log.f64 base) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 2 (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 2 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 -1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1 (.f64 (/.f64 2 (log.f64 base)) (/.f64 -1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (neg.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))) -1)
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (/.f64 1 (log.f64 base))) (/.f64 -1 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1/2 (.f64 (/.f64 2 (atan2.f64 im re)) (neg.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1/2 (.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -1/2 (.f64 (/.f64 1 (log.f64 base)) (*.f64 (/.f64 4 (atan2.f64 im re)) -1/2)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1/2 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1/2 (-.f64 0 (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1/2 (-.f64 (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re)) (/.f64 (/.f64 3 (atan2.f64 im re)) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) (atan2.f64 im re)) 1/2)
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base))) 2)
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 4 (.f64 (/.f64 1 (log.f64 base)) (/.f64 1/2 (*.f64 (atan2.f64 im re) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 4 (.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 4 (.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -2 (.f64 (/.f64 1 (log.f64 base)) (-.f64 0 (/.f64 1/2 (atan2.f64 im re)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -2 (.f64 (/.f64 1 (log.f64 base)) (/.f64 -1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -2 (.f64 (/.f64 1 (atan2.f64 im re)) (-.f64 0 (/.f64 1/2 (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -2 (.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 -1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 -2 (-.f64 0 (/.f64 1/2 (.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (atan2.f64 im re)) -1/2) (/.f64 -1/2 (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (atan2.f64 im re)) -1/2) (*.f64 1 (/.f64 -1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 4 (atan2.f64 im re)) -1/2) (*.f64 (/.f64 1 (log.f64 base)) -1/2))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (/.f64 2 (log.f64 base))) (-.f64 0 (/.f64 1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (neg.f64 (/.f64 2 (log.f64 base))) (.f64 1 (-.f64 0 (/.f64 1/2 (atan2.f64 im re)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))) (-.f64 0 (/.f64 1/2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (neg.f64 (/.f64 2 (atan2.f64 im re))) (.f64 1 (-.f64 0 (/.f64 1/2 (log.f64 base)))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) (.f64 (/.f64 4 (atan2.f64 im re)) -1/2))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (log.f64 base)))) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 4 (atan2.f64 im re)) (.f64 (/.f64 1 (log.f64 base)) 1/4))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 4 (atan2.f64 im re)) (/.f64 1/2 (.f64 (log.f64 base) 2)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 4 (atan2.f64 im re)) (.f64 1 (/.f64 1/2 (*.f64 (log.f64 base) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 4 (atan2.f64 im re)) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (.f64 (log.f64 base) 2))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (+.f64 (/.f64 -1 (.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base)))) -1/2)
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -2) (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) -2) (*.f64 1 (/.f64 -1/2 (atan2.f64 im re))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (neg.f64 (/.f64 2 (atan2.f64 im re)))) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (neg.f64 (/.f64 2 (log.f64 base)))) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (/.f64 1/2 (atan2.f64 im re))) (-.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (/.f64 1/2 (atan2.f64 im re))) (-.f64 0 (/.f64 2 (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (neg.f64 (neg.f64 (/.f64 1/2 (log.f64 base)))) (/.f64 2 (atan2.f64 im re)))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))
(neg.f64 (/.f64 -1 (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re)))

eval678.0ms (5.9%)

Compiler: Compiled 53517 to 20435 computations (61.8% saved)

prune551.0ms (4.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1597	11	1608
Fresh	12	0	12
Picked	1	0	1
Done	2	2	4
Total	1612	13	1625

Error

Counts

1625 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	34.5b	(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))) (.f64 (log.f64 re) 0)) (.f64 (log.f64 base) (log.f64 base)))
	30.2b	(/.f64 (-.f64 (-.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 3)) (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
▶	0.4b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
▶	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 1 (log.f64 (/.f64 1 base)))))
	1.0b	(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (*.f64 (log.f64 (/.f64 1 base)) 3)))
▶	0.9b	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
	1.2b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.6b	(*.f64 (/.f64 1/2 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) -2)
	0.4b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 3)) (neg.f64 (atan2.f64 im re))))
▶	0.6b	(.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) -1/2)

Compiler

Compiled 467 to 321 computations (31.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 31 computations (35.4% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational.json-simplify-5`
992×	`rational.json-simplify-31`
812×	`rational.json-simplify-13`
770×	`rational.json-simplify-9`
678×	`rational.json-simplify-34`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	55
1	92	55
2	312	55
3	1661	55

Stop Event

1×	node limit

Counts

3 → 296

Calls

Call 1

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

Outputs

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

simplify161.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

820×	`rational.json-simplify-15`
802×	`rational.json-simplify-13`
784×	`rational.json-simplify-3`
586×	`rational.json-simplify-1`
552×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	10300
1	2167	9770

Stop Event

1×	node limit

Counts

352 → 339

Calls

Call 1

Inputs
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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))))
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(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -2) (log.f64 (/.f64 1 base)))
(*.f64 -2 (-.f64 (neg.f64 (log.f64 (/.f64 1 base))) (/.f64 1/2 (/.f64 -1 (log.f64 (/.f64 1 base))))))
(.f64 -2 (-.f64 (neg.f64 (log.f64 (/.f64 1 base))) (.f64 (log.f64 (/.f64 1 base)) -1/2)))
(-.f64 (*.f64 (neg.f64 (log.f64 (/.f64 1 base))) -2) (log.f64 (/.f64 1 base)))
(*.f64 4 (/.f64 1/2 (/.f64 2 (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 1 base))
(.f64 4 (-.f64 (.f64 (log.f64 (/.f64 1 base)) 1/2) (/.f64 1/2 (/.f64 2 (log.f64 (/.f64 1 base))))))
(-.f64 (*.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 (/.f64 1 base)))
(.f64 (.f64 1 (/.f64 (log.f64 (/.f64 1 base)) -1/2)) -1/2)
(log.f64 (/.f64 1 base))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 base))))
(log.f64 (/.f64 1 base))
(log.f64 (/.f64 1 base))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-1`
1562×	`rational.json-2`
1562×	`rational.json-4`
1562×	`rational.json-3`
564×	`rational.json-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	65	28
2	199	28
3	929	28
4	5802	28

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (-.f64 (log.f64 base) (*.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (neg.f64 (*.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (atan2.f64 im re) 0) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 1/2) 1/2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) -1/2) 1/2) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) 1/2) (/.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) -1/2)) -1/2)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (log.f64 base)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (log.f64 base)) (-.f64 0 (/.f64 3 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (-.f64 0 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (*.f64 -1 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 4 (log.f64 base)) (/.f64 0 (log.f64 base))) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 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 -1 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 2 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (/.f64 2 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1 (neg.f64 (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (log.f64 base)) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (log.f64 base)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (log.f64 base)))))))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational.json-simplify-55`
1330×	`rational.json-simplify-51`
1074×	`rational.json-simplify-39`
878×	`rational.json-simplify-41`
404×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	3298
1	1003	3282
2	4977	3282

Stop Event

1×	node limit

Counts

198 → 164

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)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
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(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 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)) (+.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)))
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(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (.f64 (atan2.f64 im re) 0)))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base)))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 0) 1/2))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 2 (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (.f64 (/.f64 -1 (log.f64 base)) (.f64 (atan2.f64 im re) 2)))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 0 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) -1))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (.f64 -1 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(-.f64 (/.f64 0 (log.f64 base)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
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(-.f64 (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
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(-.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base)))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(-.f64 (+.f64 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(-.f64 (.f64 (/.f64 4 (log.f64 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(-.f64 (.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(-.f64 (.f64 (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))) 1/2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) (/.f64 1/2 (log.f64 base))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(-.f64 (*.f64 (/.f64 0 (log.f64 base)) -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 0) -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (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 1 (log.f64 base)) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 2 (*.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1/2 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1/2 (/.f64 -1 (-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
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(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1/2 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) 2)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 2)
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 base) 2))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 (.f64 (atan2.f64 im re) 1/2) (.f64 (log.f64 base) 1/2))
(/.f64 (.f64 (atan2.f64 im re) -1/2) (.f64 (neg.f64 (log.f64 base)) 1/2))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) -1/2))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (-.f64 (log.f64 base) (.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (.f64 -1 (.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) -1/2))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 1/2) 1/2) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) -1/2) 1/2) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) 1/2) (/.f64 (log.f64 base) 1/4))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) -1/2)) -1/2)
(/.f64 (.f64 (.f64 (atan2.f64 im re) -1/2) 2) (neg.f64 (log.f64 base)))
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(/.f64 (-.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 1 (log.f64 base)) 0)
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(+.f64 0 (/.f64 1 (log.f64 base)))
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(-.f64 (/.f64 1 (log.f64 base)) 0)
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(-.f64 0 (/.f64 -1 (log.f64 base)))
(-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(-.f64 (/.f64 -1 (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) -1))
(-.f64 (/.f64 -1 (log.f64 base)) (-.f64 0 (/.f64 2 (log.f64 base))))
(-.f64 (/.f64 -1 (log.f64 base)) (*.f64 -1 (/.f64 2 (log.f64 base))))
(-.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(-.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base)))
(-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base)))
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(-.f64 (-.f64 (/.f64 4 (log.f64 base)) (/.f64 0 (log.f64 base))) (/.f64 3 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1/2 (log.f64 base)))
(-.f64 (*.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base)))
(-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(*.f64 -1 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(*.f64 -1/2 (/.f64 (/.f64 2 (log.f64 base)) -1))
(.f64 -1/2 (.f64 2 (/.f64 -1 (log.f64 base))))
(*.f64 -1/2 (-.f64 0 (/.f64 2 (log.f64 base))))
(*.f64 -1/2 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(*.f64 1/4 (/.f64 (/.f64 2 (log.f64 base)) 1/2))
(*.f64 (/.f64 1/4 (log.f64 base)) 4)
(*.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) -2)
(*.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))
(*.f64 -2 (/.f64 -1/2 (log.f64 base)))
(.f64 -2 (.f64 1 (neg.f64 (/.f64 1/2 (log.f64 base)))))
(*.f64 4 (/.f64 1/4 (log.f64 base)))
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) -1) -1/2)
(*.f64 (/.f64 -1/2 (log.f64 base)) -2)
(neg.f64 (/.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))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (neg.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 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.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)))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 0 (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 0 (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) 0))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 0 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (/.f64 0 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 0) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 0 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (.f64 (/.f64 -1 (log.f64 base)) (.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))) (-.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (-.f64 0 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) -1))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) 2) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (.f64 -1 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 0 (log.f64 base)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 0 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (/.f64 0 (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (*.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (atan2.f64 im re) (/.f64 0 (log.f64 base)))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (/.f64 0 (log.f64 base)) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (/.f64 (.f64 (atan2.f64 im re) 3) (.f64 (log.f64 base) 2)) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (/.f64 4 (log.f64 base)) (atan2.f64 im re)) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (/.f64 4 (/.f64 1 (atan2.f64 im re))) (/.f64 1 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))) 1/2) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) (/.f64 1/2 (log.f64 base))) (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (*.f64 (/.f64 0 (log.f64 base)) -1) (/.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) 0) -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 0 (neg.f64 (.f64 (atan2.f64 im re) 2))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 2 (*.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1/2 (*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1/2 (/.f64 -1 (-.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (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 -1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1/2 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (log.f64 base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 2 (log.f64 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) 1/2) (.f64 (log.f64 base) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (atan2.f64 im re) -1/2) (.f64 (neg.f64 (log.f64 base)) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (-.f64 (log.f64 base) (.f64 (log.f64 base) 3)))
(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 2 (-.f64 (.f64 (log.f64 base) 3) (log.f64 base))))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 2)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 -1 (.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 base) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 1/2) 1/2) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) -1/2) 1/2) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) 1/2) (/.f64 (log.f64 base) 1/4))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) -1/2)) -1/2)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (.f64 (.f64 (atan2.f64 im re) -1/2) 2) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 3)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)
(/.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 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1 (log.f64 base)) (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(+.f64 0 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 -1 (log.f64 base)) (/.f64 2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 0 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(+.f64 (/.f64 4 (log.f64 base)) (-.f64 0 (/.f64 3 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) 0)
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 0 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 -1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) (/.f64 (/.f64 2 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) (-.f64 0 (/.f64 2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) (*.f64 -1 (/.f64 2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (-.f64 (/.f64 4 (log.f64 base)) (/.f64 0 (log.f64 base))) (/.f64 3 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (*.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(/.f64 1 (log.f64 base))
(*.f64 -1 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(/.f64 1 (log.f64 base))
(*.f64 -1/2 (/.f64 (/.f64 2 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(.f64 -1/2 (.f64 2 (/.f64 -1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 -1/2 (-.f64 0 (/.f64 2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 -1/2 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(/.f64 1 (log.f64 base))
(*.f64 1/4 (/.f64 (/.f64 2 (log.f64 base)) 1/2))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1/4 (log.f64 base)) 4)
(/.f64 1 (log.f64 base))
(*.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) -2)
(/.f64 1 (log.f64 base))
(*.f64 -2 (neg.f64 (/.f64 1/2 (log.f64 base))))
(/.f64 1 (log.f64 base))
(*.f64 -2 (/.f64 -1/2 (log.f64 base)))
(/.f64 1 (log.f64 base))
(.f64 -2 (.f64 1 (neg.f64 (/.f64 1/2 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(*.f64 4 (/.f64 1/4 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 (/.f64 2 (log.f64 base)) -1) -1/2)
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 -1/2 (log.f64 base)) -2)
(/.f64 1 (log.f64 base))
(neg.f64 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan2.f64 im re) 4)
✓	0.1b	(*.f64 (atan2.f64 im re) 3)
✓	0.2b	(-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4))
✓	0.3b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))

Compiler

Compiled 52 to 23 computations (55.8% saved)

series11.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
1.0ms	im	@	0	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
1.0ms	re	@	-inf	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
1.0ms	im	@	inf	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
1.0ms	im	@	-inf	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational.json-simplify-32`
910×	`rational.json-1`
910×	`rational.json-2`
910×	`rational.json-4`
910×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	97	56
2	395	54
3	2246	54

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
(-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4))
(*.f64 (atan2.f64 im re) 3)
(*.f64 (atan2.f64 im re) 4)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) -4) (.f64 (atan2.f64 im re) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 8) (.f64 (atan2.f64 im re) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) -4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 4 (.f64 (atan2.f64 im re) -3)) (.f64 4 (.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (atan2.f64 im re) -4) -4) (.f64 (.f64 (atan2.f64 im re) 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) (+.f64 0 (.f64 (atan2.f64 im re) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 4) (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (atan2.f64 im re) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 7) (.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (atan2.f64 im re) 8) (.f64 (atan2.f64 im re) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 (atan2.f64 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(atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) 4))) (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 (atan2.f64 im re) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 4 (.f64 (atan2.f64 im re) 8))) (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 4 (.f64 (atan2.f64 im re) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) 3) -4)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) 4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -4) (.f64 (.f64 (atan2.f64 im re) 6) -4)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -4) (.f64 (.f64 (atan2.f64 im re) 7) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -4 (.f64 (atan2.f64 im re) 12)) (.f64 -4 (.f64 (atan2.f64 im re) 12))) (+.f64 (.f64 -4 (.f64 (atan2.f64 im re) 12)) (.f64 -4 (.f64 (atan2.f64 im re) 13))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 (atan2.f64 im re) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (.f64 (atan2.f64 im re) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (atan2.f64 im re) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 -1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 7)) (.f64 (atan2.f64 im re) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) -3) (.f64 (atan2.f64 im re) -4)) (.f64 (atan2.f64 im re) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) -4))))))

simplify212.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational.json-simplify-3`
708×	`rational.json-simplify-51`
626×	`rational.json-simplify-19`
536×	`rational.json-simplify-39`
506×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	13383
1	1688	6939

Stop Event

1×	node limit

Counts

393 → 320

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (*.f64 4 (atan2.f64 im re))) (log.f64 base)))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (log.f64 (/.f64 1 base)))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (log.f64 (/.f64 1 base)))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (log.f64 (/.f64 1 base)))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (log.f64 (/.f64 1 base)))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -1 (/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
(-.f64 (.f64 3 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re)))
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(neg.f64 (*.f64 (atan2.f64 im re) -4))

Outputs
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(.f64 -1 (/.f64 (-.f64 (/.f64 (atan2.f64 im re) 1/3) (.f64 (atan2.f64 im re) 4)) (log.f64 base)))
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(.f64 -1 (/.f64 (-.f64 (/.f64 (atan2.f64 im re) 1/3) (.f64 (atan2.f64 im re) 4)) (log.f64 base)))
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(.f64 (.f64 (atan2.f64 im re) 2) -1/2)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(*.f64 2 (/.f64 1/2 (/.f64 -1 (atan2.f64 im re))))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(*.f64 2 (/.f64 1/2 (/.f64 1 (neg.f64 (atan2.f64 im re)))))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(*.f64 -2 (/.f64 1/2 (/.f64 1 (atan2.f64 im re))))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(.f64 (-.f64 (.f64 (atan2.f64 im re) 7) (*.f64 (atan2.f64 im re) 5)) -1/2)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(.f64 (-.f64 0 (.f64 (atan2.f64 im re) -2)) -1/2)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (atan2.f64 im re) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) 1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 1 (/.f64 -1 (atan2.f64 im re)))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 1 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 1/2 (/.f64 1 (*.f64 (atan2.f64 im re) -2)))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 -1 (/.f64 1 (atan2.f64 im re)))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 0 (*.f64 (atan2.f64 im re) -2)) (atan2.f64 im re)) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 6)) (-.f64 0 (.f64 (atan2.f64 im re) 7))) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 6)) (+.f64 (.f64 (atan2.f64 im re) -3) (*.f64 (atan2.f64 im re) -4))) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) -3) (.f64 (atan2.f64 im re) -3)) (-.f64 0 (*.f64 (atan2.f64 im re) 7))) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 7)) (+.f64 (.f64 (atan2.f64 im re) -4) (*.f64 (atan2.f64 im re) -4))) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) -3) (.f64 (atan2.f64 im re) -4)) (+.f64 (.f64 (atan2.f64 im re) -4) (.f64 (atan2.f64 im re) -4))) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 (.f64 (atan2.f64 im re) 7) (.f64 (atan2.f64 im re) 5)) (atan2.f64 im re)) -1)
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(neg.f64 (atan2.f64 im re))
(neg.f64 (atan2.f64 im re))
(-.f64 (/.f64 (atan2.f64 im re) 1/3) (*.f64 (atan2.f64 im re) 4))
(+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 2))
(+.f64 (*.f64 (atan2.f64 im re) 3) 0)
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 0))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (*.f64 (atan2.f64 im re) 4) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 0 (*.f64 (atan2.f64 im re) 3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) 6) (.f64 (atan2.f64 im re) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) -3) (.f64 (atan2.f64 im re) 6))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (*.f64 (atan2.f64 im re) 2) (atan2.f64 im re))
(+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 2))
(+.f64 (.f64 (atan2.f64 im re) 12) (.f64 3 (*.f64 (atan2.f64 im re) -3)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) 3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -3) (.f64 (.f64 (atan2.f64 im re) -4) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 3 (.f64 (atan2.f64 im re) -3)) (*.f64 (atan2.f64 im re) 12))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (.f64 (.f64 (atan2.f64 im re) -4) -3) (.f64 (.f64 (atan2.f64 im re) 3) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (*.f64 (atan2.f64 im re) 3) 0)
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 0))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 3) (+.f64 0 (.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 3) (+.f64 (.f64 (atan2.f64 im re) 0) (*.f64 (atan2.f64 im re) 0)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 0 (*.f64 (atan2.f64 im re) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 6) (.f64 (atan2.f64 im re) 3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 12) (.f64 (atan2.f64 im re) 9))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 3 (.f64 (atan2.f64 im re) 8)) (.f64 3 (.f64 (atan2.f64 im re) 7)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) -3) (.f64 (.f64 (atan2.f64 im re) 4) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 (.f64 (atan2.f64 im re) 6) -3) (.f64 (.f64 (atan2.f64 im re) 7) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (.f64 -3 (.f64 (atan2.f64 im re) 12)) (.f64 -3 (.f64 (atan2.f64 im re) 13)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 12) (.f64 (atan2.f64 im re) 12)) (+.f64 (.f64 (atan2.f64 im re) 12) (.f64 (atan2.f64 im re) 9)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 3 (.f64 (atan2.f64 im re) 8)) (.f64 3 (.f64 (atan2.f64 im re) 8))) (+.f64 (.f64 3 (.f64 (atan2.f64 im re) 8)) (.f64 3 (.f64 (atan2.f64 im re) 7))))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -3) (.f64 (.f64 (atan2.f64 im re) 3) -3)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -3) (.f64 (.f64 (atan2.f64 im re) 4) -3)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -3) (.f64 (.f64 (atan2.f64 im re) 6) -3)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -3) (.f64 (.f64 (atan2.f64 im re) 7) -3)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 -3 (.f64 (atan2.f64 im re) 12)) (.f64 -3 (.f64 (atan2.f64 im re) 12))) (+.f64 (.f64 -3 (.f64 (atan2.f64 im re) 12)) (.f64 -3 (.f64 (atan2.f64 im re) 13))))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 3 (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) 3) 1)
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) 3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 1 (/.f64 1 (*.f64 (atan2.f64 im re) 3)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 1 (/.f64 -1 (*.f64 (atan2.f64 im re) -3)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) -3) -1)
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 -3 (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 -3 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(/.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 6)) (.f64 (atan2.f64 im re) -3)) -1)
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(neg.f64 (*.f64 (atan2.f64 im re) -3))
(/.f64 (atan2.f64 im re) 1/3)
(*.f64 3 (atan2.f64 im re))
(+.f64 (*.f64 (atan2.f64 im re) 4) 0)
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 0))
(*.f64 (atan2.f64 im re) 4)
(+.f64 0 (*.f64 (atan2.f64 im re) 4))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (atan2.f64 im re) -4) (.f64 (atan2.f64 im re) 8))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 2))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (atan2.f64 im re) 8) (.f64 (atan2.f64 im re) -4))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) 4))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) -3)))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) -4) -4))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 4 (.f64 (atan2.f64 im re) -3)) (.f64 4 (.f64 (atan2.f64 im re) 4)))
(*.f64 (atan2.f64 im re) 4)
(+.f64 (.f64 (.f64 (atan2.f64 im re) -4) -4) (.f64 (.f64 (atan2.f64 im re) 3) -4))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (*.f64 (atan2.f64 im re) 4) 0)
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 0))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 4) (+.f64 0 (.f64 (atan2.f64 im re) 0)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 4) (+.f64 (.f64 (atan2.f64 im re) 0) (*.f64 (atan2.f64 im re) 0)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 0 (*.f64 (atan2.f64 im re) -4))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 7) (.f64 (atan2.f64 im re) 3))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 8) (.f64 (atan2.f64 im re) 4))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (*.f64 (atan2.f64 im re) 12))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 4 (.f64 (atan2.f64 im re) 7)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) 4) -4))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 6) -4) (.f64 (.f64 (atan2.f64 im re) 7) -4))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 -4 (.f64 (atan2.f64 im re) 12)) (.f64 -4 (.f64 (atan2.f64 im re) 13)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (.f64 (atan2.f64 im re) 8) 2) (*.f64 (atan2.f64 im re) 12))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (.f64 (atan2.f64 im re) 14) (.f64 (atan2.f64 im re) 10))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 8) 2) (.f64 (.f64 (atan2.f64 im re) 8) 2)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 8) 2) (*.f64 (atan2.f64 im re) 12)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (.f64 4 (.f64 (atan2.f64 im re) 4))) (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 4)) (*.f64 (atan2.f64 im re) 12)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 4 (.f64 (atan2.f64 im re) 8))) (+.f64 (.f64 4 (.f64 (atan2.f64 im re) 8)) (.f64 4 (.f64 (atan2.f64 im re) 7))))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) 3) -4)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 3) -4) (.f64 (.f64 (atan2.f64 im re) 4) -4)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -4) (.f64 (.f64 (atan2.f64 im re) 6) -4)) (+.f64 (.f64 (.f64 (atan2.f64 im re) 6) -4) (.f64 (.f64 (atan2.f64 im re) 7) -4)))
(*.f64 (atan2.f64 im re) 4)
(-.f64 (+.f64 (.f64 -4 (.f64 (atan2.f64 im re) 12)) (.f64 -4 (.f64 (atan2.f64 im re) 12))) (+.f64 (.f64 -4 (.f64 (atan2.f64 im re) 12)) (.f64 -4 (.f64 (atan2.f64 im re) 13))))
(*.f64 (atan2.f64 im re) 4)
(/.f64 (atan2.f64 im re) 1/4)
(*.f64 (atan2.f64 im re) 4)
(/.f64 4 (/.f64 1 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 4)
(/.f64 (*.f64 (atan2.f64 im re) 4) 1)
(*.f64 (atan2.f64 im re) 4)
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) 4))
(*.f64 (atan2.f64 im re) 4)
(/.f64 1 (/.f64 1 (*.f64 (atan2.f64 im re) 4)))
(*.f64 (atan2.f64 im re) 4)
(/.f64 1 (/.f64 -1 (*.f64 (atan2.f64 im re) -4)))
(*.f64 (atan2.f64 im re) 4)
(/.f64 (*.f64 (atan2.f64 im re) -4) -1)
(*.f64 (atan2.f64 im re) 4)
(/.f64 -4 (/.f64 -1 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) 4)
(/.f64 -4 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) 4)
(/.f64 (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 7)) (.f64 (atan2.f64 im re) -3)) -1)
(*.f64 (atan2.f64 im re) 4)
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) -3) (.f64 (atan2.f64 im re) -4)) (*.f64 (atan2.f64 im re) -3)) -1)
(*.f64 (atan2.f64 im re) 4)
(neg.f64 (*.f64 (atan2.f64 im re) -4))
(*.f64 (atan2.f64 im re) 4)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 base))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
✓	0.3b	(*.f64 (log.f64 (/.f64 1 base)) 3)
✓	0.7b	(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))

Compiler

Compiled 71 to 50 computations (29.6% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	base	@	inf	(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))
1.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
1.0ms	im	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
1.0ms	base	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
1.0ms	re	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`rational.json-simplify-1`
958×	`rational.json-simplify-25`
900×	`rational.json-simplify-11`
818×	`rational.json-simplify-3`
690×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	105
1	111	79
2	386	61
3	2193	61

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs

(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))

(*.f64 (log.f64 (/.f64 1 base)) 3)

(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))))

Outputs

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

884×	`rational.json-simplify-3`
692×	`rational.json-simplify-39`
656×	`rational.json-simplify-51`
576×	`rational.json-simplify-34`
516×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	12988
1	1747	7868

Stop Event

1×	node limit

Counts

320 → 298

Calls

Call 1

Inputs
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)) (*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)) (*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)) (*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)) (*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))))
(*.f64 -3 (log.f64 base))
(*.f64 -3 (log.f64 base))
(*.f64 -3 (log.f64 base))
(*.f64 -3 (log.f64 base))
(*.f64 3 (log.f64 (/.f64 1 base)))
(*.f64 3 (log.f64 (/.f64 1 base)))
(*.f64 3 (log.f64 (/.f64 1 base)))
(*.f64 3 (log.f64 (/.f64 1 base)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
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(+.f64 (*.f64 (log.f64 (/.f64 1 base)) -3) (log.f64 (/.f64 1 base)))
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(.f64 -1/2 (.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) -1/4)))
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(*.f64 -1/2 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))))
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(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1)
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(.f64 1/2 (.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) 1/4)))
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(.f64 -1 (-.f64 (+.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) -1/2))) (+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) -1/2)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) -1/2)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) -1)
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(*.f64 (/.f64 1 (log.f64 (/.f64 1 base))) (neg.f64 (atan2.f64 im re)))
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(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))) -1))
(.f64 (.f64 (atan2.f64 im re) 2) (*.f64 1 (-.f64 0 (/.f64 1/2 (log.f64 (/.f64 1 base))))))
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(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) -1/2)) 1/2)
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(.f64 (+.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) -2)) (.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base))) -1/2))
(.f64 (+.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) -2)) (.f64 (neg.f64 (/.f64 1/2 (log.f64 (/.f64 1 base)))) -1/2))
(*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))) -1/2)
(.f64 (+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 (/.f64 1 base)) 2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 (/.f64 1 base)) 2))) -1)
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(*.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (-.f64 (+.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re))))
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(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))

Outputs
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 (log.f64 base) -3))
(*.f64 (log.f64 base) 2)
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(-.f64 (.f64 -1 (log.f64 base)) (.f64 (log.f64 base) -3))
(*.f64 (log.f64 base) 2)
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 (log.f64 base) -3))
(*.f64 (log.f64 base) 2)
(-.f64 (.f64 -1 (log.f64 base)) (.f64 -3 (log.f64 base)))
(-.f64 (.f64 -1 (log.f64 base)) (.f64 (log.f64 base) -3))
(*.f64 (log.f64 base) 2)
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 (log.f64 (/.f64 1 base)) -2)
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 3 (log.f64 (/.f64 1 base))))
(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))
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(*.f64 (log.f64 (/.f64 1 base)) -2)
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(-.f64 (log.f64 (/.f64 1 base)) (*.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 (log.f64 (/.f64 1 base)) -2)
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(*.f64 (log.f64 (/.f64 1 base)) 3)
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(*.f64 (log.f64 (/.f64 1 base)) 3)
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
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(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (atan2.f64 im re))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(*.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (-.f64 (+.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (-.f64 (.f64 (atan2.f64 im re) 1/2) (*.f64 (atan2.f64 im re) -1/2)))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (/.f64 1 (log.f64 (/.f64 1 base)))) (-.f64 (+.f64 (neg.f64 (atan2.f64 im re)) (.f64 (atan2.f64 im re) -2)) (+.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) -2))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base)))) (.f64 (atan2.f64 im re) -2))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (/.f64 -1/2 (log.f64 (/.f64 1 base)))) (-.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (atan2.f64 im re) 1/4)))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (/.f64 (atan2.f64 im re) 1/4)) (-.f64 0 (/.f64 -1/2 (.f64 (log.f64 (/.f64 1 base)) 2))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))))) (.f64 (atan2.f64 im re) -2))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (log.f64 (/.f64 1 base))))) (-.f64 (.f64 (atan2.f64 im re) 2) (/.f64 (atan2.f64 im re) 1/4)))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 1 base))))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.3b	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	0.6b	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 59 to 18 computations (69.5% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
0.0ms	im	@	inf	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
0.0ms	base	@	-inf	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
0.0ms	re	@	-inf	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
0.0ms	base	@	inf	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational.json-simplify-5`
926×	`rational.json-simplify-13`
718×	`rational.json-simplify-9`
666×	`rational.json-simplify-11`
570×	`rational.json-simplify-14`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	70	68
2	223	46
3	1111	46

Stop Event

1×	node limit

Counts

2 → 247

Calls

Call 1

Inputs
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) 4) (*.f64 (*.f64 (log.f64 base) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 2) -1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 2)) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) 4) -1) (*.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (-.f64 (neg.f64 (log.f64 base)) (log.f64 base))) -1/2)))) 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base)) -3))))))

simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

862×	`rational.json-simplify-55`
752×	`rational.json-simplify-19`
666×	`rational.json-simplify-30`
624×	`rational.json-simplify-39`
612×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	11057
1	1698	8225
2	6723	8225

Stop Event

1×	node limit

Counts

319 → 300

Calls

Call 1

Inputs
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(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
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(/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 (neg.f64 (log.f64 base)) -3/2))
(/.f64 (*.f64 (atan2.f64 im re) 2) (/.f64 1 (/.f64 3/2 (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) 2) (.f64 (*.f64 (log.f64 base) 2) 1/3))
(/.f64 1/2 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 6))
(/.f64 1/2 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 6)))
(/.f64 1/2 (/.f64 (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))) 3))
(/.f64 1/2 (/.f64 1 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6)))
(/.f64 1/2 (.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 1/3)))
(/.f64 1/2 (.f64 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))) 1/3))
(/.f64 1/2 (/.f64 -1 (/.f64 -6 (/.f64 (log.f64 base) (atan2.f64 im re)))))
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(/.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 1/2 (atan2.f64 im re)) 1/3))
(/.f64 (/.f64 3/2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3) -1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 (/.f64 1 (atan2.f64 im re)) 3))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (*.f64 (atan2.f64 im re) 3)))
(/.f64 (*.f64 (atan2.f64 im re) 3) (log.f64 base))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (*.f64 (atan2.f64 im re) 3))))
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(/.f64 -1 (/.f64 (log.f64 base) (*.f64 (neg.f64 (atan2.f64 im re)) 3)))
(/.f64 -1 (*.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) 1/3))
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1 (.f64 (log.f64 base) 1/3)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (*.f64 (log.f64 base) 1/3)))
(/.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) -1/3)
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(/.f64 (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 base))) 1/2)
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 3) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 3)) (neg.f64 (log.f64 base)))
(/.f64 6 (*.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (.f64 (atan2.f64 im re) -2) (.f64 (neg.f64 (*.f64 (log.f64 base) 2)) 1/3))
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(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1/3) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) 1/2)
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(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) (-.f64 (neg.f64 (log.f64 base)) (log.f64 base))) -1/2)
(/.f64 (.f64 -1 (.f64 (atan2.f64 im re) 3)) (neg.f64 (log.f64 base)))
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(/.f64 (.f64 3/2 (.f64 (atan2.f64 im re) 2)) (log.f64 base))
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(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 6)) (/.f64 (log.f64 base) -1/2))
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(/.f64 (*.f64 (/.f64 -6 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) -1)
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3))

Outputs
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(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
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(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 3 (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base))))
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(/.f64 -3 (-.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 -1/2 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) 6)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6) 2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 3 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 3/2 (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/6)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 3/2 (log.f64 base))) 1/2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 3) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 3)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 6 (*.f64 2 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) -2) (.f64 (neg.f64 (*.f64 (log.f64 base) 2)) 1/3))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (atan2.f64 im re) 6) (.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (.f64 (atan2.f64 im re) 6) 1/2) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (-.f64 0 (*.f64 (atan2.f64 im re) 3)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) -1) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 1 (*.f64 (log.f64 base) 1/3)) (/.f64 1 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/3) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 2) 1/3) (.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) 1/3) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))) 1/3) 1/2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) 3) 1/2) (.f64 (log.f64 base) 2))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 6) 1/2) (/.f64 (log.f64 base) 1/4))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) 3) (-.f64 (neg.f64 (log.f64 base)) (log.f64 base))) -1/2)
(.f64 -1 (/.f64 (.f64 (atan2.f64 im re) 6) (-.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 6 (-.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(/.f64 (.f64 -1 (.f64 (atan2.f64 im re) 3)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) -2) 1/3) (neg.f64 (.f64 (log.f64 base) 2)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (.f64 (atan2.f64 im re) -2) 3) (neg.f64 (*.f64 (log.f64 base) 2)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1/2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 3/2 (.f64 (atan2.f64 im re) 2)) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 -3/2 (.f64 (atan2.f64 im re) 2)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (.f64 (atan2.f64 im re) -2) (/.f64 3/2 (log.f64 base))) -1)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (atan2.f64 im re) 3)) 1/2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 -1 (.f64 (atan2.f64 im re) 6)) (/.f64 (log.f64 base) -1/2))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 -1/2 (.f64 (atan2.f64 im re) 6)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (.f64 1/2 (/.f64 1/2 (log.f64 base))) (*.f64 (atan2.f64 im re) 6)) 1/2)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) 6)) -1)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) 6)) (/.f64 (log.f64 base) -1/2))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (neg.f64 (.f64 (atan2.f64 im re) 6)) (-.f64 (log.f64 base) (.f64 (log.f64 base) 3)))
(/.f64 (.f64 (atan2.f64 im re) 6) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
(.f64 -6 (/.f64 (atan2.f64 im re) (-.f64 (log.f64 base) (.f64 (log.f64 base) 3))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 3)) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) 3))) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(/.f64 (*.f64 (/.f64 -6 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) -1)
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3))
(*.f64 (atan2.f64 im re) (/.f64 3 (log.f64 base)))

eval526.0ms (4.5%)

Compiler: Compiled 40390 to 21378 computations (47.1% saved)

prune634.0ms (5.5%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1849	11	1860
Fresh	5	1	6
Picked	1	0	1
Done	2	4	6
Total	1857	16	1873

Error

Counts

1873 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	0.4b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
▶	0.7b	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
▶	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 -1 (log.f64 base))))
	1.0b	(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (*.f64 (log.f64 (/.f64 1 base)) 3)))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
▶	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.9b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))
▶	0.8b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))
	0.6b	(.f64 (atan2.f64 im re) (-.f64 (.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base))))
	0.5b	(.f64 (/.f64 1/2 (/.f64 -1 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) -1/2)
▶	0.6b	(.f64 (/.f64 -1 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))) -1/2)
	0.6b	(*.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 (atan2.f64 im re) 1/3) (log.f64 base))) -1/2)
	0.7b	(.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2) (*.f64 1/2 (/.f64 -5 (/.f64 (log.f64 base) (atan2.f64 im re))))) -1/2)

Compiler

Compiled 452 to 327 computations (27.7% saved)

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 19 computations (50% saved)

series3.0ms (0%)

Counts

3 → 56

Calls

15 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 1 (/.f64 -1 (log.f64 base)))
0.0ms	base	@	0	(/.f64 1 (/.f64 -1 (log.f64 base)))

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational.json-simplify-5`
1026×	`rational.json-simplify-31`
824×	`rational.json-simplify-13`
804×	`rational.json-simplify-9`
650×	`rational.json-simplify-34`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	91	45
2	322	37
3	1753	37

Stop Event

1×	node limit

Counts

3 → 315

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

892×	`rational.json-simplify-13`
770×	`rational.json-simplify-3`
682×	`rational.json-simplify-15`
658×	`rational.json-simplify-11`
616×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	8393
1	2318	7805

Stop Event

1×	node limit

Counts

371 → 381

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 9 computations (65.4% saved)

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-3`
652×	`rational.json-simplify-1`
590×	`rational.json-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	66	34
2	211	34
3	1044	34
4	6584	34

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-39`
1212×	`rational.json-simplify-55`
1022×	`rational.json-simplify-30`
958×	`rational.json-simplify-51`
836×	`rational.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	4170
1	1004	4126
2	4253	4126

Stop Event

1×	node limit

Counts

210 → 184

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))
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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))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
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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))
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(-.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 (.f64 (log.f64 base) 0) (.f64 (log.f64 base) 0)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 0 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) 2) (neg.f64 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)) -1))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (.f64 -1 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (/.f64 0 (atan2.f64 im re)) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) 1/2)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (*.f64 (log.f64 base) 0) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(+.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/4)) (neg.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) (.f64 (log.f64 base) (/.f64 3 (atan2.f64 im re))))
(-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)))
(-.f64 (.f64 (log.f64 base) (/.f64 3 (atan2.f64 im re))) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))
(-.f64 (-.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 0)) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(-.f64 (-.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/4)) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) (*.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re))))
(-.f64 (-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) (.f64 0 (/.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (/.f64 3 (atan2.f64 im re))))
(-.f64 (-.f64 (/.f64 0 (atan2.f64 im re)) (*.f64 (log.f64 base) 0)) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (-.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (.f64 (log.f64 base) 0)) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(-.f64 (-.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/4)) (.f64 (log.f64 base) 0)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(-.f64 (-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) (.f64 (log.f64 base) 0)) (*.f64 (log.f64 base) (/.f64 3 (atan2.f64 im re))))
(-.f64 (+.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))
(+.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/4)) (neg.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) (.f64 (log.f64 base) (/.f64 3 (atan2.f64 im re))))
(-.f64 (/.f64 (.f64 (log.f64 base) 3) (.f64 (atan2.f64 im re) 2)) (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (/.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 2) (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/2) (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (.f64 (.f64 (log.f64 base) 3) (/.f64 1/2 (atan2.f64 im re))) (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (*.f64 (/.f64 0 (atan2.f64 im re)) -1) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (.f64 0 (.f64 (log.f64 base) -2)) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(-.f64 (+.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4)) (+.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(+.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/4)) (neg.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(-.f64 (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 4) (.f64 (log.f64 base) (/.f64 3 (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 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)
(/.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 1/2 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)))
(/.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 2 (.f64 (log.f64 base) (/.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 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.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 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1)
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1/2 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1/2 (/.f64 (.f64 (log.f64 base) -2) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1/2 (.f64 (/.f64 1 (atan2.f64 im re)) (*.f64 (log.f64 base) -2)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1/2 (-.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) (.f64 (atan2.f64 im re) 1/2)) 1/2)
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) 1/4) (.f64 1/2 (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) 1/4) (.f64 (/.f64 1/2 (atan2.f64 im re)) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (log.f64 base) 1/4) (-.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 1/2 (/.f64 1/2 (atan2.f64 im re)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/2) -1/2)
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 1/2 (/.f64 1/2 (atan2.f64 im re))) (/.f64 (log.f64 base) 1/4))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))) 2)
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) 1/4)
(/.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 (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 -2 (/.f64 1/2 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))) (.f64 (log.f64 base) 1/2))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (.f64 (log.f64 base) -2) (*.f64 (log.f64 base) -2)) (/.f64 1/2 (/.f64 (atan2.f64 im re) -1/2)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))

localize44.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1/2 (atan2.f64 im re))
✓	0.4b	(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
✓	0.4b	(/.f64 -1 (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))

Compiler

Compiled 49 to 25 computations (49% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

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

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`rational.json-simplify-5`
704×	`rational.json-simplify-13`
658×	`rational.json-simplify-18`
636×	`rational.json-simplify-31`
602×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	80	65
2	282	59
3	1644	59

Stop Event

1×	node limit

Counts

3 → 375

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (*.f64 (atan2.f64 im re) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) 0) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (/.f64 0 (*.f64 (log.f64 base) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (*.f64 (/.f64 -1 (log.f64 base)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (-.f64 0 (/.f64 0 (*.f64 (log.f64 base) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 -1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (atan2.f64 im re)) (/.f64 1/4 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (atan2.f64 im re)) (-.f64 0 (/.f64 3/2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (atan2.f64 im re)) (/.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (atan2.f64 im re)) (*.f64 -1 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1/2 (atan2.f64 im re)) (-.f64 0 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 -1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re))) (/.f64 3/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 3/2 (atan2.f64 im re)) 1/2) (/.f64 1/4 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 0 (/.f64 1/4 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (atan2.f64 im re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/4 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/2 (atan2.f64 im re)))))))

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

962×	`rational.json-simplify-3`
696×	`rational.json-simplify-18`
678×	`rational.json-simplify-25`
628×	`rational.json-simplify-34`
592×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	10813
1	2079	10611

Stop Event

1×	node limit

Counts

447 → 400

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 2 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(.f64 -2 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -2 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -2 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 -2 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1/2 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1/2 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1/2 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1/2 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
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(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 1/2 (/.f64 (log.f64 base) (atan2.f64 im re)))
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(+.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (log.f64 base)) (+.f64 (/.f64 0 (.f64 (log.f64 base) 1/2)) (*.f64 (atan2.f64 im re) 0)))
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(+.f64 (/.f64 (*.f64 (atan2.f64 im re) -2) (log.f64 base)) (-.f64 0 (/.f64 0 (log.f64 base))))
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(+.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) 0) (*.f64 (/.f64 -1 (log.f64 base)) 0)))
(+.f64 (/.f64 (.f64 (atan2.f64 im re) -2) (log.f64 base)) (-.f64 (/.f64 0 (log.f64 base)) (.f64 (/.f64 -1 (log.f64 base)) 0)))
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(/.f64 (*.f64 (/.f64 (/.f64 -1/2 (atan2.f64 im re)) 2) -1) (/.f64 1/2 (log.f64 base)))
(/.f64 (*.f64 (/.f64 1/4 (atan2.f64 im re)) (log.f64 base)) 1/2)
(/.f64 (.f64 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))) 1/2) 1/2)
(/.f64 (.f64 (.f64 (log.f64 base) (/.f64 -1/2 (atan2.f64 im re))) 1/2) -1/2)
(/.f64 (*.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) 1/2) -1)
(/.f64 (.f64 (.f64 (log.f64 base) -1/2) (/.f64 1/2 (atan2.f64 im re))) -1/2)
(/.f64 (.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 1/2)) 1/2)
(/.f64 (.f64 2 (.f64 (log.f64 base) 1/2)) (*.f64 (atan2.f64 im re) 2))
(/.f64 (-.f64 (log.f64 base) (.f64 (log.f64 base) 3)) (neg.f64 (.f64 (atan2.f64 im re) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) -1/2))) (neg.f64 (atan2.f64 im re)))
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(neg.f64 (*.f64 (log.f64 base) (/.f64 -1/2 (atan2.f64 im re))))
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(-.f64 (/.f64 1/2 (atan2.f64 im re)) 0)
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(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (/.f64 (/.f64 1 (atan2.f64 im re)) -1))
(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (*.f64 -1 (/.f64 1 (atan2.f64 im re))))
(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(-.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 -1/2 (atan2.f64 im re)))
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(-.f64 (/.f64 3/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))
(-.f64 (-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re))) (/.f64 3/2 (atan2.f64 im re)))
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(*.f64 -1 (/.f64 -1/2 (atan2.f64 im re)))
(*.f64 1/2 (/.f64 1 (atan2.f64 im re)))
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(*.f64 -2 (-.f64 0 (/.f64 1/4 (atan2.f64 im re))))
(*.f64 (/.f64 -1/2 (atan2.f64 im re)) -1)
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(*.f64 (/.f64 1/4 (atan2.f64 im re)) 2)
(*.f64 2 (/.f64 1/4 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) -1) -1/2)
(neg.f64 (/.f64 -1/2 (atan2.f64 im re)))

Outputs
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(*.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base)))
(*.f64 -2 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 (.f64 (log.f64 base) -1/2) 1/2) (*.f64 (neg.f64 (atan2.f64 im re)) 1/2))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (/.f64 -1/2 (atan2.f64 im re)) 2) -1) (/.f64 1/2 (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 1/4 (atan2.f64 im re)) (log.f64 base)) 1/2)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))) 1/2) 1/2)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 (.f64 (log.f64 base) (/.f64 -1/2 (atan2.f64 im re))) 1/2) -1/2)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))) 1/2) -1)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 (.f64 (log.f64 base) -1/2) (/.f64 1/2 (atan2.f64 im re))) -1/2)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 (/.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 1/2)) 1/2)
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (.f64 2 (.f64 (log.f64 base) 1/2)) (*.f64 (atan2.f64 im re) 2))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (-.f64 (log.f64 base) (.f64 (log.f64 base) 3)) (neg.f64 (.f64 (atan2.f64 im re) 4)))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) -1/2))) (neg.f64 (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (-.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 base) -1/2))) (atan2.f64 im re))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(neg.f64 (*.f64 (log.f64 base) (/.f64 -1/2 (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))
(+.f64 (/.f64 1/2 (atan2.f64 im re)) 0)
(/.f64 1/2 (atan2.f64 im re))
(+.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(+.f64 0 (/.f64 1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(+.f64 (/.f64 -1/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(+.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(+.f64 (/.f64 1/4 (atan2.f64 im re)) (/.f64 1/4 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(+.f64 (/.f64 2 (atan2.f64 im re)) (-.f64 0 (/.f64 3/2 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 1/2 (atan2.f64 im re)) 0)
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 0 (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (/.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (*.f64 -1 (/.f64 1 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 -1/2 (atan2.f64 im re)) (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 0 (atan2.f64 im re)) (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (/.f64 3/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 0 (atan2.f64 im re))) (/.f64 3/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(-.f64 (*.f64 (/.f64 3/2 (atan2.f64 im re)) 1/2) (/.f64 1/4 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 -1 (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 1/2 (/.f64 1 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 (/.f64 1/2 (atan2.f64 im re)) 1)
(/.f64 1/2 (atan2.f64 im re))
(*.f64 1 (/.f64 1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 -2 (-.f64 0 (/.f64 1/4 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 (/.f64 -1/2 (atan2.f64 im re)) -1)
(/.f64 1/2 (atan2.f64 im re))
(*.f64 -1/2 (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 -1/2 (-.f64 (/.f64 1/2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re))))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) 1/2)
(/.f64 1/2 (atan2.f64 im re))
(*.f64 (/.f64 1/4 (atan2.f64 im re)) 2)
(/.f64 1/2 (atan2.f64 im re))
(*.f64 2 (/.f64 1/4 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 1 (atan2.f64 im re)) -1) -1/2)
(/.f64 1/2 (atan2.f64 im re))
(neg.f64 (/.f64 -1/2 (atan2.f64 im re)))
(/.f64 1/2 (atan2.f64 im re))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (log.f64 base))
✓	0.3b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))
✓	0.3b	(/.f64 3 (log.f64 base))
✓	0.9b	(-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base)))

Compiler

Compiled 43 to 22 computations (48.8% saved)

series4.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`rational.json-simplify-1`
922×	`rational.json-simplify-19`
870×	`rational.json-simplify-23`
812×	`rational.json-simplify-31`
766×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	92	50
2	323	50
3	1913	50

Stop Event

1×	node limit

Counts

4 → 363

Calls

Call 1

Inputs
(-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base)))
(/.f64 3 (log.f64 base))
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))
(/.f64 2 (log.f64 base))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3 (log.f64 base)) (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6 (log.f64 base)) (/.f64 -5 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (log.f64 base)) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 12 (log.f64 base)) (-.f64 0 (/.f64 11 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (/.f64 2 (log.f64 base)) (.f64 3 (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (log.f64 base)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (-.f64 0 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (/.f64 1/2 (log.f64 base)) -1))))) (#(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) 1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (log.f64 base)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 (log.f64 base) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (log.f64 base)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 (log.f64 base) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 (log.f64 base) -1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 (+.f64 (.f64 (log.f64 base) 2) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (.f64 (neg.f64 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (.f64 (.f64 (log.f64 base) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 (log.f64 base) (+.f64 (log.f64 base) (.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (log.f64 base) 1/4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 -1 (log.f64 base)) 1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (log.f64 base)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 -1 (log.f64 base)) 1/2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 4 (log.f64 base))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 6 (log.f64 base)) (/.f64 -4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (log.f64 base)) (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 12 (log.f64 base)) (/.f64 -10 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (+.f64 0 (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 -1 (log.f64 base)) (/.f64 0 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (/.f64 -3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (log.f64 base)) (+.f64 (/.f64 -2 (log.f64 base)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 6 (log.f64 base)) (/.f64 4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 5 (log.f64 base)) (/.f64 3 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (log.f64 base)) (/.f64 -4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 12 (log.f64 base)) (/.f64 (/.f64 5 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 6 (log.f64 base))) (/.f64 5 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 12 (log.f64 base))) (/.f64 11 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 6 (log.f64 base)) 2) (.f64 2 (/.f64 5 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 12 (log.f64 base)) 2) (.f64 2 (/.f64 11 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (log.f64 base)) (/.f64 -6 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 -3 (log.f64 base))) (/.f64 2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 12 (log.f64 base)) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 5 (log.f64 base)) 1/2) (/.f64 (/.f64 4 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 6 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 11 (log.f64 base)) 1/2) (/.f64 (/.f64 10 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 0 (/.f64 12 (log.f64 base))) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -4 (log.f64 base)) 1/2) (/.f64 (/.f64 -5 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -5 (log.f64 base)) 1/2) (/.f64 (/.f64 -6 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 -4 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (log.f64 base) 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (-.f64 0 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 -1/2 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1 (/.f64 (log.f64 base) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (/.f64 (log.f64 base) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (log.f64 base)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (log.f64 base)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (log.f64 base)))))))

simplify150.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

910×	`rational.json-simplify-7`
894×	`rational.json-simplify-13`
876×	`rational.json-simplify-3`
852×	`rational.json-simplify-14`
844×	`rational.json-simplify-15`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	10725
1	2633	10455

Stop Event

1×	node limit

Counts

427 → 484

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.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 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 -2 (log.f64 (/.f64 1 base)))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 3 (log.f64 base)) (/.f64 -2 (log.f64 base)))
(+.f64 (/.f64 2 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(+.f64 (/.f64 1 (log.f64 base)) 0)
(+.f64 (/.f64 1 (log.f64 base)) (/.f64 0 (log.f64 base)))
(+.f64 0 (/.f64 1 (log.f64 base)))
(+.f64 (/.f64 6 (log.f64 base)) (/.f64 -5 (log.f64 base)))
(+.f64 (/.f64 -2 (log.f64 base)) (/.f64 3 (log.f64 base)))
(+.f64 (/.f64 12 (log.f64 base)) (-.f64 0 (/.f64 11 (log.f64 base))))
(*.f64 2 (/.f64 1/2 (log.f64 base)))
(.f64 2 (-.f64 (/.f64 2 (log.f64 base)) (.f64 3 (/.f64 1/2 (log.f64 base)))))
(*.f64 (/.f64 2 (log.f64 base)) 1/2)
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(*.f64 1/2 (/.f64 2 (log.f64 base)))
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (log.f64 base))) 1/2))
(*.f64 (/.f64 1/2 (log.f64 base)) 2)
(*.f64 (/.f64 -2 (log.f64 base)) -1/2)
(*.f64 -1 (/.f64 -1 (log.f64 base)))
(*.f64 -1/2 (/.f64 -2 (log.f64 base)))
(*.f64 -2 (-.f64 0 (/.f64 1/2 (log.f64 base))))
(*.f64 -2 (/.f64 -1/2 (log.f64 base)))
(*.f64 -2 (/.f64 (/.f64 1/2 (log.f64 base)) -1))
(*.f64 1/4 (/.f64 4 (log.f64 base)))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1/4)) 4)
(*.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -2)
(*.f64 (/.f64 -1/2 (log.f64 base)) -2)
(/.f64 2 (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 2 (log.f64 base)) 2)
(/.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(/.f64 (/.f64 -1 (log.f64 base)) -1)
(/.f64 4 (/.f64 (log.f64 base) 1/4))
(/.f64 1/2 (*.f64 (log.f64 base) 1/2))
(/.f64 (/.f64 1/2 (log.f64 base)) 1/2)
(/.f64 (/.f64 -2 (log.f64 base)) -2)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (/.f64 (/.f64 (log.f64 base) -1/2) 2))
(/.f64 -1 (/.f64 (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) 2))
(/.f64 -1 (*.f64 (/.f64 (log.f64 base) -1/2) 1/2))
(/.f64 -1 (-.f64 (+.f64 (.f64 (log.f64 base) 2) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 2))))
(/.f64 -1/2 (/.f64 (log.f64 base) -2))
(/.f64 -1/2 (*.f64 (neg.f64 (log.f64 base)) 1/2))
(/.f64 -2 (/.f64 (log.f64 base) -1/2))
(/.f64 -2 (.f64 (.f64 (log.f64 base) 2) -1))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (neg.f64 (*.f64 -1 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 -1 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 1 (.f64 -1 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (+.f64 (.f64 (log.f64 base) 2) (log.f64 base)) (+.f64 (.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 2))))
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 (/.f64 -1 (log.f64 base)) (*.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 (/.f64 -1 (log.f64 base)) (*.f64 1 (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (/.f64 -1 (log.f64 base)) (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)) 2)
(/.f64 1/2 (*.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re))))
(/.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) 1/2)
(/.f64 (.f64 2 (atan2.f64 im re)) (.f64 (log.f64 base) 2))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (*.f64 2 (atan2.f64 im re))))
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(/.f64 -1 (*.f64 (log.f64 base) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) -1)
(/.f64 -1/2 (/.f64 (/.f64 (log.f64 base) -2) (atan2.f64 im re)))
(/.f64 -2 (.f64 (.f64 (log.f64 base) 2) (/.f64 -1 (atan2.f64 im re))))
(/.f64 -2 (.f64 (.f64 (log.f64 base) 2) (neg.f64 (/.f64 1 (atan2.f64 im re)))))
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(/.f64 (.f64 1/2 (atan2.f64 im re)) (.f64 (log.f64 base) 1/2))
(/.f64 (.f64 -1/2 (atan2.f64 im re)) (.f64 (neg.f64 (log.f64 base)) 1/2))
(/.f64 (neg.f64 (*.f64 2 (atan2.f64 im re))) (/.f64 (log.f64 base) -1/2))
(/.f64 (neg.f64 (.f64 2 (atan2.f64 im re))) (-.f64 (log.f64 base) (+.f64 (log.f64 base) (.f64 (log.f64 base) 2))))
(/.f64 (/.f64 -1/2 (log.f64 base)) (*.f64 1/2 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (/.f64 -1/2 (log.f64 base)) (*.f64 1/2 (neg.f64 (/.f64 1 (atan2.f64 im re)))))
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(/.f64 (/.f64 -2 (neg.f64 (/.f64 1 (atan2.f64 im re)))) (*.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 1/2 (atan2.f64 im re)) 1/2) (log.f64 base))
(/.f64 (/.f64 (*.f64 -1/2 (atan2.f64 im re)) 1/2) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))) -1/2)
(/.f64 (-.f64 (+.f64 (.f64 2 (atan2.f64 im re)) (atan2.f64 im re)) (+.f64 (.f64 2 (atan2.f64 im re)) (*.f64 2 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
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(/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -1/2)
(/.f64 (-.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 4 (log.f64 base))) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 (-.f64 (/.f64 10 (log.f64 base)) (/.f64 11 (log.f64 base))) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 (-.f64 (/.f64 11 (log.f64 base)) (+.f64 0 (/.f64 12 (log.f64 base)))) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 (-.f64 (+.f64 (/.f64 12 (log.f64 base)) (/.f64 11 (log.f64 base))) (+.f64 (/.f64 12 (log.f64 base)) (/.f64 12 (log.f64 base)))) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(/.f64 (-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 5 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base)))) (/.f64 1 (atan2.f64 im re)))
(/.f64 (-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 5 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base)))) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 5 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base)))) (neg.f64 (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (-.f64 (/.f64 11 (log.f64 base)) (+.f64 (/.f64 5 (log.f64 base)) (/.f64 5 (log.f64 base)))) (/.f64 1 (atan2.f64 im re)))
(/.f64 (-.f64 (/.f64 11 (log.f64 base)) (+.f64 (/.f64 5 (log.f64 base)) (/.f64 5 (log.f64 base)))) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 (-.f64 (/.f64 11 (log.f64 base)) (+.f64 (/.f64 5 (log.f64 base)) (/.f64 5 (log.f64 base)))) (neg.f64 (neg.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 (-.f64 0 (.f64 2 (atan2.f64 im re))) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (-.f64 (atan2.f64 im re) (+.f64 (atan2.f64 im re) (.f64 2 (atan2.f64 im re)))) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (-.f64 (.f64 2 (atan2.f64 im re)) (.f64 (.f64 2 (atan2.f64 im re)) 2)) (neg.f64 (.f64 (log.f64 base) 2)))
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/5)) (+.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)))) 1)
(/.f64 (-.f64 (*.f64 (/.f64 -1 (log.f64 base)) 0) (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -4 (log.f64 base))) (/.f64 (.f64 -3 (atan2.f64 im re)) (log.f64 base))) -1)
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/5)) (+.f64 0 (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))))) -1)
(/.f64 (-.f64 (/.f64 (.f64 -3 (atan2.f64 im re)) (log.f64 base)) (+.f64 0 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))))) -1)
(/.f64 (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 0 (neg.f64 (atan2.f64 im re)))) -1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 11 (log.f64 base))) (.f64 (/.f64 12 (log.f64 base)) (atan2.f64 im re))) -1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -5 (log.f64 base))) (.f64 (/.f64 4 (log.f64 base)) (neg.f64 (atan2.f64 im re)))) -1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -6 (log.f64 base))) (.f64 (/.f64 5 (log.f64 base)) (neg.f64 (atan2.f64 im re)))) -1)
(/.f64 (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 0 (/.f64 -1 (log.f64 base)))) -1)
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/5))) (+.f64 (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))))) -1)
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))) (/.f64 (.f64 -3 (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))))) -1)
(/.f64 (-.f64 (+.f64 (/.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 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)))) -1)
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 2 (atan2.f64 im re))) (log.f64 base))
(/.f64 (-.f64 (.f64 6 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (*.f64 (log.f64 base) 2))
(/.f64 (-.f64 (.f64 -3 (atan2.f64 im re)) (.f64 -2 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 -3 (atan2.f64 im re)) (neg.f64 (.f64 2 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (*.f64 -2 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (neg.f64 (*.f64 2 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(+.f64 (/.f64 3 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(+.f64 (/.f64 3 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -2 (log.f64 base))))
(+.f64 (/.f64 2 (log.f64 base)) 0)
(+.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))
(+.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(+.f64 0 (/.f64 2 (log.f64 base)))
(+.f64 (/.f64 6 (log.f64 base)) (/.f64 -4 (log.f64 base)))
(+.f64 (/.f64 4 (log.f64 base)) (/.f64 -2 (log.f64 base)))
(+.f64 (/.f64 12 (log.f64 base)) (/.f64 -10 (log.f64 base)))
(-.f64 (/.f64 3 (log.f64 base)) (/.f64 1 (log.f64 base)))
(-.f64 (/.f64 2 (log.f64 base)) 0)
(-.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 0 (/.f64 0 (log.f64 base))))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(-.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 -1 (log.f64 base)) (/.f64 0 (log.f64 base))))
(-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(-.f64 0 (/.f64 -2 (log.f64 base)))
(-.f64 (/.f64 -1 (log.f64 base)) (/.f64 -3 (log.f64 base)))
(-.f64 (/.f64 -1 (log.f64 base)) (+.f64 (/.f64 -2 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(-.f64 (/.f64 6 (log.f64 base)) (/.f64 4 (log.f64 base)))
(-.f64 (/.f64 5 (log.f64 base)) (/.f64 3 (log.f64 base)))
(-.f64 (/.f64 -2 (log.f64 base)) (/.f64 -4 (log.f64 base)))
(-.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base)))
(-.f64 (/.f64 12 (log.f64 base)) (/.f64 (/.f64 5 (log.f64 base)) 1/2))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))) (/.f64 2 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 6 (log.f64 base))) (/.f64 5 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 12 (log.f64 base))) (/.f64 11 (log.f64 base)))
(-.f64 (.f64 (/.f64 6 (log.f64 base)) 2) (.f64 2 (/.f64 5 (log.f64 base))))
(-.f64 (.f64 (/.f64 12 (log.f64 base)) 2) (.f64 2 (/.f64 11 (log.f64 base))))
(-.f64 (/.f64 -4 (log.f64 base)) (/.f64 -6 (log.f64 base)))
(-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base))))
(-.f64 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 -3 (log.f64 base))) (/.f64 2 (log.f64 base)))
(-.f64 (/.f64 (/.f64 12 (log.f64 base)) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))
(-.f64 (/.f64 (/.f64 5 (log.f64 base)) 1/2) (/.f64 (/.f64 4 (log.f64 base)) 1/2))
(-.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 6 (log.f64 base)))
(-.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))) 1/2))
(-.f64 (/.f64 (/.f64 11 (log.f64 base)) 1/2) (/.f64 (/.f64 10 (log.f64 base)) 1/2))
(-.f64 (/.f64 (+.f64 0 (/.f64 12 (log.f64 base))) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))
(-.f64 (/.f64 (/.f64 -4 (log.f64 base)) 1/2) (/.f64 (/.f64 -5 (log.f64 base)) 1/2))
(-.f64 (/.f64 (/.f64 -5 (log.f64 base)) 1/2) (/.f64 (/.f64 -6 (log.f64 base)) 1/2))
(-.f64 (/.f64 (+.f64 (/.f64 12 (log.f64 base)) (/.f64 12 (log.f64 base))) 1/2) (/.f64 (+.f64 (/.f64 12 (log.f64 base)) (/.f64 11 (log.f64 base))) 1/2))
(*.f64 2 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 2 (log.f64 base)) 1)
(*.f64 (/.f64 1 (log.f64 base)) 2)
(*.f64 1 (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) -2)
(*.f64 4 (/.f64 1/2 (log.f64 base)))
(*.f64 1/2 (/.f64 4 (log.f64 base)))
(*.f64 1/2 (-.f64 (+.f64 (/.f64 5 (log.f64 base)) (/.f64 5 (log.f64 base))) (/.f64 6 (log.f64 base))))
(*.f64 (/.f64 1/2 (log.f64 base)) 4)
(*.f64 (/.f64 -2 (log.f64 base)) -1)
(*.f64 -1 (/.f64 -2 (log.f64 base)))
(*.f64 -1/2 (/.f64 -4 (log.f64 base)))
(*.f64 -2 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 4 (log.f64 base)) 1/2)
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1/4)) 8)
(*.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -4)
(*.f64 -4 (-.f64 0 (/.f64 1/2 (log.f64 base))))
(*.f64 -4 (/.f64 -1/2 (log.f64 base)))
(*.f64 8 (/.f64 1 (/.f64 (log.f64 base) 1/4)))
(*.f64 8 (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (/.f64 (log.f64 base) 1/4))))
(*.f64 (/.f64 -4 (log.f64 base)) -1/2)
(*.f64 (/.f64 -1/2 (log.f64 base)) -4)
(neg.f64 (/.f64 -2 (log.f64 base)))

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.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 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 -3 (log.f64 (/.f64 1 base)))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 3 (+.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 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
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(/.f64 (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 0 (neg.f64 (atan2.f64 im re)))) -1)
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) 0))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 11 (log.f64 base))) (.f64 (/.f64 12 (log.f64 base)) (atan2.f64 im re))) -1)
(/.f64 (*.f64 (atan2.f64 im re) (-.f64 (/.f64 12 (log.f64 base)) (/.f64 11 (log.f64 base)))) 1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -5 (log.f64 base))) (.f64 (/.f64 4 (log.f64 base)) (neg.f64 (atan2.f64 im re)))) -1)
(-.f64 (.f64 (/.f64 4 (log.f64 base)) (neg.f64 (atan2.f64 im re))) (.f64 (atan2.f64 im re) (/.f64 -5 (log.f64 base))))
(/.f64 (-.f64 (/.f64 8 (log.f64 base)) (/.f64 9 (log.f64 base))) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -6 (log.f64 base))) (.f64 (/.f64 5 (log.f64 base)) (neg.f64 (atan2.f64 im re)))) -1)
(neg.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) -6)) (*.f64 (/.f64 5 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 -1 (-.f64 (/.f64 5 (log.f64 base)) (/.f64 6 (log.f64 base))))) 1)
(/.f64 (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 0 (/.f64 -1 (log.f64 base)))) -1)
(/.f64 (+.f64 (atan2.f64 im re) 0) (log.f64 base))
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/5))) (+.f64 (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 6 (log.f64 base))))) -1)
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) 6)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/5)) 1)
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 (log.f64 base) 6)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/5))) 1)
(/.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))) (/.f64 (.f64 -3 (atan2.f64 im re)) (log.f64 base))) (+.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))))) -1)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 -2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 -3 (log.f64 base)))) 1)
(/.f64 (-.f64 (+.f64 (/.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 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)))) -1)
(-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (-.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -2)) (log.f64 base))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 2 (atan2.f64 im re))) (log.f64 base))
(-.f64 (/.f64 (.f64 3 (atan2.f64 im re)) (log.f64 base)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) 1/2)))
(/.f64 (-.f64 (.f64 3 (atan2.f64 im re)) (.f64 (atan2.f64 im re) 2)) (log.f64 base))
(/.f64 (-.f64 (.f64 6 (atan2.f64 im re)) (.f64 4 (atan2.f64 im re))) (*.f64 (log.f64 base) 2))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 6) (.f64 (atan2.f64 im re) 4)) (*.f64 (log.f64 base) 2))
(/.f64 (-.f64 (.f64 -3 (atan2.f64 im re)) (.f64 -2 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) -2) (.f64 -3 (atan2.f64 im re))) (log.f64 base))
(/.f64 (-.f64 (.f64 -3 (atan2.f64 im re)) (neg.f64 (.f64 2 (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) -2) (.f64 -3 (atan2.f64 im re))) (log.f64 base))
(/.f64 (-.f64 (*.f64 -2 (atan2.f64 im re)) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (-.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -2)) (log.f64 base))
(/.f64 (-.f64 (neg.f64 (*.f64 2 (atan2.f64 im re))) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))
(-.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) 1/2)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (-.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -2)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (/.f64 3 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 3 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -2 (log.f64 base))))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 2 (log.f64 base)) 0)
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 0 (/.f64 2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 6 (log.f64 base)) (/.f64 -4 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 4 (log.f64 base)) (/.f64 -2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(+.f64 (/.f64 12 (log.f64 base)) (/.f64 -10 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 3 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) 0)
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) (/.f64 0 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 0 (/.f64 0 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 2 (log.f64 base)) (+.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 -1 (log.f64 base)) (/.f64 0 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 1 (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 0 (/.f64 -2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) (/.f64 -3 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 -1 (log.f64 base)) (+.f64 (/.f64 -2 (log.f64 base)) (/.f64 -1 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 6 (log.f64 base)) (/.f64 4 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 5 (log.f64 base)) (/.f64 3 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 -2 (log.f64 base)) (/.f64 -4 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 12 (log.f64 base)) (/.f64 (/.f64 5 (log.f64 base)) 1/2))
(-.f64 (/.f64 12 (log.f64 base)) (/.f64 10 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 3 (log.f64 base))) (/.f64 2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 6 (log.f64 base))) (/.f64 5 (log.f64 base)))
(-.f64 (/.f64 7 (log.f64 base)) (/.f64 5 (log.f64 base)))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (+.f64 (/.f64 1 (log.f64 base)) (/.f64 12 (log.f64 base))) (/.f64 11 (log.f64 base)))
(-.f64 (/.f64 13 (log.f64 base)) (/.f64 11 (log.f64 base)))
(-.f64 (.f64 (/.f64 6 (log.f64 base)) 2) (.f64 2 (/.f64 5 (log.f64 base))))
(-.f64 (*.f64 2 (/.f64 6 (log.f64 base))) (/.f64 10 (log.f64 base)))
(-.f64 (.f64 (/.f64 12 (log.f64 base)) 2) (.f64 2 (/.f64 11 (log.f64 base))))
(-.f64 (*.f64 2 (/.f64 12 (log.f64 base))) (/.f64 22 (log.f64 base)))
(-.f64 (/.f64 -4 (log.f64 base)) (/.f64 -6 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (+.f64 (/.f64 4 (log.f64 base)) (/.f64 4 (log.f64 base))) (+.f64 (/.f64 4 (log.f64 base)) (/.f64 2 (log.f64 base))))
(/.f64 2 (log.f64 base))
(-.f64 (-.f64 (/.f64 1 (log.f64 base)) (/.f64 -3 (log.f64 base))) (/.f64 2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 (/.f64 12 (log.f64 base)) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))
(-.f64 (/.f64 24 (log.f64 base)) (/.f64 22 (log.f64 base)))
(-.f64 (/.f64 48 (log.f64 base)) (/.f64 46 (log.f64 base)))
(-.f64 (/.f64 (/.f64 5 (log.f64 base)) 1/2) (/.f64 (/.f64 4 (log.f64 base)) 1/2))
(-.f64 (/.f64 10 (log.f64 base)) (/.f64 8 (log.f64 base)))
(-.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 6 (log.f64 base)))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 (/.f64 4 (log.f64 base)) 1/2) (/.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 1 (log.f64 base))) 1/2))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 (/.f64 11 (log.f64 base)) 1/2) (/.f64 (/.f64 10 (log.f64 base)) 1/2))
(/.f64 2 (log.f64 base))
(-.f64 (/.f64 (+.f64 0 (/.f64 12 (log.f64 base))) 1/2) (/.f64 (/.f64 11 (log.f64 base)) 1/2))
(-.f64 (+.f64 0 (/.f64 24 (log.f64 base))) (/.f64 22 (log.f64 base)))
(+.f64 0 (-.f64 (/.f64 48 (log.f64 base)) (/.f64 46 (log.f64 base))))
(-.f64 (/.f64 (/.f64 -4 (log.f64 base)) 1/2) (/.f64 (/.f64 -5 (log.f64 base)) 1/2))
(-.f64 (/.f64 -8 (log.f64 base)) (/.f64 -10 (log.f64 base)))
(-.f64 (/.f64 (/.f64 -5 (log.f64 base)) 1/2) (/.f64 (/.f64 -6 (log.f64 base)) 1/2))
(-.f64 (/.f64 -10 (log.f64 base)) (/.f64 -12 (log.f64 base)))
(-.f64 (/.f64 (+.f64 (/.f64 12 (log.f64 base)) (/.f64 12 (log.f64 base))) 1/2) (/.f64 (+.f64 (/.f64 12 (log.f64 base)) (/.f64 11 (log.f64 base))) 1/2))
(-.f64 (/.f64 24 (log.f64 base)) (/.f64 22 (log.f64 base)))
(-.f64 (/.f64 48 (log.f64 base)) (/.f64 46 (log.f64 base)))
(*.f64 2 (/.f64 1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 2 (log.f64 base)) 1)
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 2)
(/.f64 2 (log.f64 base))
(*.f64 1 (/.f64 2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) -2)
(/.f64 2 (log.f64 base))
(*.f64 4 (/.f64 1/2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 1/2 (/.f64 4 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 1/2 (-.f64 (+.f64 (/.f64 5 (log.f64 base)) (/.f64 5 (log.f64 base))) (/.f64 6 (log.f64 base))))
(*.f64 1/2 (-.f64 (/.f64 10 (log.f64 base)) (/.f64 6 (log.f64 base))))
(*.f64 (/.f64 1/2 (log.f64 base)) 4)
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 -2 (log.f64 base)) -1)
(/.f64 2 (log.f64 base))
(*.f64 -1 (/.f64 -2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 -1/2 (/.f64 -4 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 -2 (/.f64 -1 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 4 (log.f64 base)) 1/2)
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1/4)) 8)
(/.f64 2 (log.f64 base))
(*.f64 (-.f64 0 (/.f64 1/2 (log.f64 base))) -4)
(/.f64 2 (log.f64 base))
(*.f64 -4 (-.f64 0 (/.f64 1/2 (log.f64 base))))
(/.f64 2 (log.f64 base))
(*.f64 -4 (/.f64 -1/2 (log.f64 base)))
(/.f64 2 (log.f64 base))
(*.f64 8 (/.f64 1 (/.f64 (log.f64 base) 1/4)))
(/.f64 2 (log.f64 base))
(*.f64 8 (-.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (/.f64 (log.f64 base) 1/4))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) 8) (/.f64 8 (/.f64 (log.f64 base) 1/4)))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) 8) (/.f64 2 (log.f64 base)))
(*.f64 (/.f64 -4 (log.f64 base)) -1/2)
(/.f64 2 (log.f64 base))
(*.f64 (/.f64 -1/2 (log.f64 base)) -4)
(/.f64 2 (log.f64 base))
(neg.f64 (/.f64 -2 (log.f64 base)))
(/.f64 2 (log.f64 base))

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (atan2.f64 im re) 2)
✓	0.3b	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
✓	0.3b	(*.f64 (log.f64 base) 3)
✓	0.7b	(-.f64 (*.f64 (log.f64 base) 3) (log.f64 base))

Compiler

Compiled 42 to 20 computations (52.4% saved)

series8.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
1.0ms	base	@	-inf	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
1.0ms	base	@	inf	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
1.0ms	im	@	inf	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
1.0ms	im	@	-inf	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`rational.json-simplify-5`
848×	`rational.json-simplify-1`
840×	`rational.json-simplify-19`
824×	`rational.json-simplify-13`
714×	`rational.json-simplify-15`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	84
1	86	64
2	295	64
3	1478	52

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

Inputs
(-.f64 (*.f64 (log.f64 base) 3) (log.f64 base))
(*.f64 (log.f64 base) 3)
(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
(*.f64 (atan2.f64 im re) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 base) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 3) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 3) (+.f64 (.f64 (log.f64 base) 4) (-.f64 (log.f64 base) (.f64 (log.f64 base) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 3) (-.f64 (-.f64 (log.f64 base) (.f64 (log.f64 base) 6)) (.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 2) (+.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 2) (-.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) -2) (.f64 (log.f64 base) 4))))) (#(struct:change 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simplify145.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

854×	`rational.json-simplify-24`
678×	`rational.json-simplify-3`
622×	`rational.json-simplify-51`
550×	`rational.json-simplify-14`
528×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	475	10154
1	1620	5734
2	7667	5734

Stop Event

1×	node limit

Counts

346 → 293

Calls

Call 1

Inputs
(-.f64 (*.f64 3 (log.f64 base)) (log.f64 base))
(-.f64 (*.f64 3 (log.f64 base)) (log.f64 base))
(-.f64 (*.f64 3 (log.f64 base)) (log.f64 base))
(-.f64 (*.f64 3 (log.f64 base)) (log.f64 base))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (.f64 -1 (log.f64 (/.f64 1 base))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (.f64 -1 (log.f64 (/.f64 1 base))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (.f64 -1 (log.f64 (/.f64 1 base))))
(-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (.f64 -1 (log.f64 (/.f64 1 base))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 3 (log.f64 base))
(*.f64 3 (log.f64 base))
(*.f64 3 (log.f64 base))
(*.f64 3 (log.f64 base))
(*.f64 -3 (log.f64 (/.f64 1 base)))
(*.f64 -3 (log.f64 (/.f64 1 base)))
(*.f64 -3 (log.f64 (/.f64 1 base)))
(*.f64 -3 (log.f64 (/.f64 1 base)))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (log.f64 base)) (log.f64 base))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (*.f64 -1 (log.f64 (/.f64 1 base))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (*.f64 -1 (log.f64 (/.f64 1 base))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (*.f64 -1 (log.f64 (/.f64 1 base))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 -3 (log.f64 (/.f64 1 base))) (*.f64 -1 (log.f64 (/.f64 1 base))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))))
(.f64 2 (/.f64 (atan2.f64 im re) (-.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))))))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(*.f64 2 (atan2.f64 im re))
(+.f64 (log.f64 base) (log.f64 base))
(+.f64 (*.f64 (log.f64 base) 3) (neg.f64 (log.f64 base)))
(+.f64 (.f64 (log.f64 base) 3) (+.f64 (.f64 (log.f64 base) 4) (-.f64 (log.f64 base) (*.f64 (log.f64 base) 6))))
(+.f64 (.f64 (log.f64 base) 3) (-.f64 (-.f64 (log.f64 base) (.f64 (log.f64 base) 6)) (*.f64 (log.f64 base) -4)))
(+.f64 (*.f64 (log.f64 base) 2) 0)
(+.f64 (.f64 (log.f64 base) 2) (+.f64 (.f64 (log.f64 base) 3) (*.f64 (log.f64 base) -3)))
(+.f64 (*.f64 (log.f64 base) 2) (-.f64 (log.f64 base) (log.f64 base)))
(+.f64 0 (*.f64 (log.f64 base) 2))
(+.f64 (.f64 (log.f64 base) -2) (.f64 (log.f64 base) 4))
(+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -4))
(+.f64 (.f64 (log.f64 base) 6) (-.f64 (.f64 (log.f64 base) -4) (-.f64 (log.f64 base) (log.f64 base))))
(+.f64 (.f64 (log.f64 base) 6) (-.f64 (+.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) -3)) (.f64 (log.f64 base) 4)))
(+.f64 (neg.f64 (log.f64 base)) (*.f64 (log.f64 base) 3))
(+.f64 (neg.f64 (log.f64 base)) (+.f64 (log.f64 base) (*.f64 (log.f64 base) 2)))
(+.f64 (neg.f64 (log.f64 base)) (-.f64 (*.f64 (log.f64 base) 3) (-.f64 (log.f64 base) (log.f64 base))))
(+.f64 (.f64 (log.f64 base) -3) (+.f64 (log.f64 base) (.f64 (log.f64 base) 4)))
(+.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) -2))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 0 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 4))))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (+.f64 0 (-.f64 0 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 4)))))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 (-.f64 0 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 4))) (-.f64 (log.f64 base) (log.f64 base))))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 (-.f64 (.f64 (log.f64 base) -4) (.f64 (log.f64 base) 4)) (*.f64 (log.f64 base) 2)))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (+.f64 (.f64 (log.f64 base) 6) (+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (.f64 (log.f64 base) 4)))))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 (neg.f64 (log.f64 base)) (-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3))))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 4)) (-.f64 (.f64 (log.f64 base) -4) (.f64 (log.f64 base) 4)))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 4)) (-.f64 (.f64 (log.f64 base) 4) (+.f64 (.f64 (log.f64 base) 6) (*.f64 (log.f64 base) 6))))
(+.f64 (.f64 (log.f64 base) -4) (.f64 (log.f64 base) 6))
(+.f64 (.f64 (log.f64 base) -4) (+.f64 (.f64 (log.f64 base) 2) (*.f64 (log.f64 base) 4)))
(+.f64 (+.f64 (log.f64 base) (.f64 (log.f64 base) 4)) (.f64 (log.f64 base) -3))
(+.f64 (+.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) 4)) (-.f64 0 (+.f64 (.f64 (log.f64 base) 2) (.f64 (log.f64 base) 4))))
(+.f64 (+.f64 (.f64 (log.f64 base) 4) (.f64 (log.f64 base) 4)) (-.f64 (.f64 (log.f64 base) 4) (+.f64 (.f64 (log.f64 base) 6) (*.f64 (log.f64 base) 4))))
(+.f64 (+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6))) (-.f64 0 (+.f64 (.f64 (log.f64 base) 6) (+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (.f64 (log.f64 base) 4)))))
(+.f64 (+.f64 (log.f64 base) (*.f64 (log.f64 base) 2)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) 2)
(.f64 (.f64 (log.f64 base) 2) 1)
(*.f64 2 (log.f64 base))
(.f64 1 (.f64 (log.f64 base) 2))
(.f64 (.f64 (log.f64 base) -2) -1)
(.f64 1/2 (.f64 (log.f64 base) 4))
(*.f64 (neg.f64 (log.f64 base)) -2)
(.f64 -1 (.f64 (log.f64 base) -2))
(*.f64 -2 (neg.f64 (log.f64 base)))
(.f64 -1/2 (.f64 (log.f64 base) -4))
(.f64 4 (.f64 1/2 (log.f64 base)))
(.f64 (.f64 (log.f64 base) 4) 1/2)
(.f64 (.f64 (log.f64 base) -4) -1/2)
(.f64 (+.f64 (.f64 (log.f64 base) 4) (*.f64 (log.f64 base) 4)) 1/4)
(/.f64 (log.f64 base) 1/2)
(/.f64 (*.f64 (log.f64 base) 2) 1)
(/.f64 2 (/.f64 1 (log.f64 base)))
(/.f64 1 (/.f64 1/2 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) -2) -1)
(/.f64 1/2 (/.f64 1/4 (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) -1/2)
(/.f64 -1 (/.f64 (/.f64 1 (log.f64 base)) -2))
(/.f64 -1 (-.f64 0 (/.f64 1/2 (log.f64 base))))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) 2) -1)
(neg.f64 (*.f64 (log.f64 base) -2))
(+.f64 (*.f64 (log.f64 base) 3) 0)
(+.f64 (.f64 (log.f64 base) 3) (+.f64 (.f64 (log.f64 base) 3) (*.f64 (log.f64 base) -3)))
(+.f64 0 (*.f64 (log.f64 base) 3))
(+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3))
(+.f64 (.f64 (log.f64 base) -3) (.f64 (log.f64 base) 6))
(+.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 0 (-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3))))
(-.f64 (*.f64 (log.f64 base) 3) 0)
(-.f64 (.f64 (log.f64 base) 3) (+.f64 (.f64 (log.f64 base) 3) (*.f64 (log.f64 base) -3)))
(-.f64 0 (*.f64 (log.f64 base) -3))
(-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 3))
(-.f64 (.f64 (log.f64 base) -3) (.f64 (log.f64 base) -6))
(-.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3)))
(-.f64 (+.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) -3)) (*.f64 (log.f64 base) -3))
(-.f64 (-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3)) (*.f64 (log.f64 base) 6))
(-.f64 (-.f64 (+.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) 6)) (+.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) -3))) (-.f64 (.f64 (log.f64 base) 6) (.f64 (log.f64 base) -3)))
(/.f64 (log.f64 base) 1/3)
(/.f64 3 (/.f64 1 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) 3) 1)
(/.f64 1 (/.f64 1/3 (log.f64 base)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (log.f64 base)) 3))
(/.f64 1/2 (/.f64 1 (*.f64 (log.f64 base) 6)))
(/.f64 1/2 (/.f64 (/.f64 1 (log.f64 base)) 6))
(/.f64 1/2 (/.f64 -1 (*.f64 (log.f64 base) -6)))
(/.f64 (neg.f64 (log.f64 base)) -1/3)
(/.f64 (*.f64 (log.f64 base) -3) -1)
(/.f64 -1 (/.f64 1 (*.f64 (log.f64 base) -3)))
(/.f64 -3 (/.f64 -1 (log.f64 base)))
(/.f64 -3 (-.f64 0 (/.f64 1 (log.f64 base))))
(/.f64 6 (/.f64 2 (log.f64 base)))
(/.f64 3/2 (/.f64 1/2 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) -6) 1/2) -1)
(neg.f64 (*.f64 (log.f64 base) -3))
(+.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 (/.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 0 (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 4) 0))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 0 (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (/.f64 0 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 0 (-.f64 0 (/.f64 0 (log.f64 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 0 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 0 (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (+.f64 (/.f64 0 (log.f64 base)) (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (-.f64 0 (/.f64 0 (log.f64 base))) (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))) (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (.f64 (.f64 (atan2.f64 im re) 4) 0) (/.f64 0 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (-.f64 0 (/.f64 0 (log.f64 base))) (-.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 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))) (-.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 (-.f64 0 (/.f64 0 (log.f64 base))) (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (-.f64 (/.f64 0 (log.f64 base)) (/.f64 0 (log.f64 base))) (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (.f64 (.f64 (atan2.f64 im re) 4) 0) (.f64 (.f64 (atan2.f64 im re) 4) 0)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base))))
(+.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))))
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(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 4 (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 4 (.f64 (/.f64 1/4 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 4 (.f64 (/.f64 1/2 (log.f64 base)) (*.f64 1/2 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 2 (log.f64 base))) 1/2)
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) -4) (/.f64 -1/4 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) -4) (neg.f64 (/.f64 1/4 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) -4) (*.f64 (/.f64 1/2 (log.f64 base)) -1/2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 -1/4 (log.f64 base)) (.f64 (atan2.f64 im re) -4))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (.f64 (atan2.f64 im re) -2) 1/2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 -1 (/.f64 1/4 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 1/8 (log.f64 base)) (+.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 4)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 1/8 (log.f64 base)) (/.f64 2 (/.f64 1/4 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1/4 (log.f64 base))) 4)
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (/.f64 (/.f64 1 (log.f64 base)) -2) (.f64 (atan2.f64 im re) -2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 0 (/.f64 1/4 (log.f64 base))) (neg.f64 (.f64 (atan2.f64 im re) 4)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 0 (/.f64 1/4 (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) -2) 1/2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (-.f64 0 (/.f64 1/4 (log.f64 base))) (/.f64 -1 (/.f64 1/4 (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (-.f64 0 (.f64 (atan2.f64 im re) (/.f64 1/2 (log.f64 base)))) -2)
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (-.f64 0 (/.f64 1/4 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) 4)) (*.f64 1 (-.f64 0 (/.f64 1/4 (log.f64 base)))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (/.f64 1/4 (log.f64 base))) (.f64 (atan2.f64 im re) -4))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (*.f64 (atan2.f64 im re) 4)) (/.f64 1/8 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4)) (.f64 1 (/.f64 1/8 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4)) (.f64 (/.f64 1/4 (log.f64 base)) 1/2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (-.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) -1/2)
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 1/2 (atan2.f64 im re)) (/.f64 2 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (neg.f64 (/.f64 1 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) (.f64 (atan2.f64 im re) -2))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (.f64 (atan2.f64 im re) -4)) (-.f64 0 (/.f64 -1/4 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (/.f64 -1/4 (log.f64 base))) (.f64 (atan2.f64 im re) 4))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (neg.f64 (.f64 (atan2.f64 im re) 4))) (/.f64 1/4 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (neg.f64 (neg.f64 (/.f64 1/4 (log.f64 base)))) (.f64 (atan2.f64 im re) 4))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1/2) (-.f64 (*.f64 3 (log.f64 base)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 (atan2.f64 im re) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (*.f64 (atan2.f64 im re) 2) 0)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (*.f64 (atan2.f64 im re) 2) (-.f64 (atan2.f64 im re) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 0 (*.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) -2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (.f64 (atan2.f64 im re) -4) (+.f64 (.f64 (atan2.f64 im re) 2) (*.f64 (atan2.f64 im re) 4)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 2)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(+.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4)) (-.f64 0 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 4))))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (*.f64 (atan2.f64 im re) 2) 0)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (*.f64 (atan2.f64 im re) 2) (-.f64 (atan2.f64 im re) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 0 (*.f64 (atan2.f64 im re) -2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) -2) (.f64 (atan2.f64 im re) -4))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (neg.f64 (atan2.f64 im re)) (-.f64 0 (+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 2))))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (-.f64 (atan2.f64 im re) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) -2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) 2)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4)) (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 4)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 4)) (*.f64 (atan2.f64 im re) 4))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (-.f64 (+.f64 (.f64 (atan2.f64 im re) 4) (.f64 (atan2.f64 im re) 4)) (-.f64 (atan2.f64 im re) (atan2.f64 im re))) (+.f64 (.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) 4)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(-.f64 (+.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 4)) (+.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 2 (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 2 (.f64 (.f64 (/.f64 1 (atan2.f64 im re)) -1) -1))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) 2) 1)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 1 (/.f64 1/2 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) -2) -1)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) 4) 2)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 1/2 (/.f64 1/4 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -1 (/.f64 (/.f64 1 (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -1 (/.f64 1 (*.f64 (atan2.f64 im re) -2)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -1 (/.f64 -1 (*.f64 (atan2.f64 im re) 2)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -1 (/.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) -1) 2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 (neg.f64 (atan2.f64 im re)) -1/2)
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -2 (*.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -2 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -2 (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 -2 (-.f64 0 (/.f64 1 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(/.f64 4 (/.f64 (/.f64 1 (atan2.f64 im re)) 1/2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))
(neg.f64 (*.f64 (atan2.f64 im re) -2))
(/.f64 (atan2.f64 im re) 1/2)
(*.f64 2 (atan2.f64 im re))

eval739.0ms (6.4%)

Compiler: Compiled 30245 to 14783 computations (51.1% saved)

prune560.0ms (4.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1738	4	1742
Fresh	1	6	7
Picked	0	1	1
Done	1	7	8
Total	1740	18	1758

Error

Counts

1758 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓	0.4b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
✓	0.7b	(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 -1 (log.f64 base))))
	1.0b	(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (*.f64 (log.f64 (/.f64 1 base)) 3)))
✓	0.3b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
✓	0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	0.6b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	0.9b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))
✓	0.8b	(*.f64 (atan2.f64 im re) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))
	0.6b	(.f64 (atan2.f64 im re) (-.f64 (.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base))))
	0.5b	(*.f64 (/.f64 -1 (/.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1/2)
	6.1b	(.f64 (/.f64 -1 (.f64 (log.f64 base) (-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re))))) -1/2)
	5.6b	(.f64 (/.f64 -1 (.f64 (log.f64 base) (-.f64 (/.f64 3/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))) -1/2)
	0.6b	(*.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 (atan2.f64 im re) 1/3) (log.f64 base))) -1/2)
	0.7b	(.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2) (*.f64 1/2 (/.f64 -5 (/.f64 (log.f64 base) (atan2.f64 im re))))) -1/2)

Compiler

Compiled 289 to 207 computations (28.4% saved)

regimes187.0ms (1.6%)

Counts

45 → 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 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 1/2 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re)))) -2)
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 -1 (log.f64 base))))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (/.f64 1/2 (atan2.f64 im re)))) -1/2)
(*.f64 (/.f64 -1 (/.f64 1/2 (/.f64 (atan2.f64 im re) (log.f64 base)))) -1/2)
(/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 (/.f64 1/2 (/.f64 -1 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 4))) -1/2)
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))
(*.f64 (atan2.f64 im re) (-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) 2) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
(.f64 (atan2.f64 im re) (-.f64 (.f64 (/.f64 3 (log.f64 base)) 1/2) (/.f64 1/2 (log.f64 base))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) 3) (.f64 (atan2.f64 im re) 4)) (neg.f64 (log.f64 base)))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (-.f64 0 (.f64 (atan2.f64 im re) 3)) (neg.f64 (atan2.f64 im re))))
(.f64 (/.f64 -1 (.f64 (log.f64 base) (-.f64 (/.f64 3/2 (atan2.f64 im re)) (/.f64 1 (atan2.f64 im re))))) -1/2)
(.f64 (/.f64 -1 (.f64 (log.f64 base) (-.f64 (/.f64 2 (atan2.f64 im re)) (/.f64 3/2 (atan2.f64 im re))))) -1/2)
(/.f64 (neg.f64 (atan2.f64 im re)) (.f64 -1/2 (-.f64 (log.f64 (/.f64 1 base)) (.f64 (log.f64 (/.f64 1 base)) 3))))
(/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 (/.f64 (log.f64 (/.f64 1 base)) 1/4) (*.f64 (log.f64 (/.f64 1 base)) 3)))
(.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) -1/2)
(*.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (/.f64 (atan2.f64 im re) 1/3) (log.f64 base))) -1/2)
(-.f64 (/.f64 4 (/.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(.f64 (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/2) (*.f64 1/2 (/.f64 -5 (/.f64 (log.f64 base) (atan2.f64 im re))))) -1/2)
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 im) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 re) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (.f64 re -1)) 0)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))) (.f64 (log.f64 re) 0)) (.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)) (pow.f64 (log.f64 base) 2))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)) (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 (-.f64 (/.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (/.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 2 (/.f64 1/2 (/.f64 (log.f64 base) (/.f64 (+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) 0)) (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)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (/.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (-.f64 (.f64 (log.f64 base) 4) (.f64 3 (log.f64 base)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (*.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) (.f64 (log.f64 base) 4)) (.f64 3 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (+.f64 (.f64 (atan2.f64 im re) (.f64 3 (log.f64 base))) (-.f64 (.f64 0 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 2 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (-.f64 (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 3)) (.f64 (atan2.f64 im re) (.f64 (log.f64 base) 2))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (.f64 (log.f64 base) (log.f64 base)))

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

Calls

5 calls:

61.0ms	(log.f64 base)
57.0ms	base
19.0ms	re
18.0ms	im
16.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

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

Compiler

Compiled 905 to 364 computations (59.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.4b remaining (-159.4%)

Threshold costs -0.4b (-159.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 42 to 25 computations (40.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness171.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1628×	`rational.json-simplify-1`
1520×	`rational.json-simplify-13`
1376×	`rational.json-simplify-11`
1184×	`rational.json-simplify-9`
1102×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	44	75
2	117	75
3	494	75
4	3102	75
0	705	27503
1	1861	26699

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 113 to 51 computations (54.9% saved)

end19.0ms (0.2%)

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