Details

analyze347.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.8s (14.2%)

Results

2.4s	8256×	body	256	valid
425.0ms	2028×	body	256	invalid

Bogosity

preprocess38.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1194×	`rational.json-simplify-1`
1082×	`rational.json-simplify-36`
1006×	`rational.json-simplify-37`
1000×	`rational.json-simplify-16`
984×	`rational.json-simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	300
1	111	300
2	237	300
3	774	300
4	3427	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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (atan2.f64 re im) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) (log.f64 re)) (.f64 (atan2.f64 im base) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (atan2.f64 base re) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))

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

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1510×	`rational.json-simplify-55`
1418×	`rational.json-simplify-36`
1206×	`rational.json-simplify-41`
1196×	`rational.json-simplify-39`
734×	`rational.json-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 79 to 28 computations (64.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

34.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.6b	(*.f64 (log.f64 base) (log.f64 base))
✓	31.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 106 to 22 computations (79.2% saved)

series67.0ms (0.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
20.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
15.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
15.0ms	base	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
6.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
1.0ms	re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational.json-simplify-25`
1088×	`rational.json-simplify-34`
1086×	`rational.json-1`
1086×	`rational.json-2`
1086×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	150
1	112	150
2	398	150
3	2530	150

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (*.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 0 (.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (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)))) (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (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) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) (+.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) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) (.f64 1 (+.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))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) -1) 0)))) (#(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 -1 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (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 /.f64 (-.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (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 (log.f64 base) (.f64 (log.f64 base) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 base) 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)) (.f64 (log.f64 base) (neg.f64 (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 (log.f64 base) (.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) 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) (.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) (.f64 (log.f64 base) 0)) (.f64 (log.f64 base) (.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) 0) (.f64 (log.f64 base) (.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) (.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 1/2 (/.f64 (.f64 (log.f64 base) 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (fabs.f64 (log.f64 base)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (log.f64 base) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (.f64 -1 (.f64 (log.f64 base) (.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 base))) (.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 base) 0) (.f64 (log.f64 base) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) 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simplify322.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

928×	`rational.json-simplify-15`
772×	`rational.json-simplify-3`
742×	`rational.json-simplify-11`
742×	`rational.json-simplify-13`
622×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	784	28684
1	2531	28020

Stop Event

1×	node limit

Counts

388 → 590

Calls

Call 1

Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
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(.f64 (neg.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2)) (-.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (+.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))))
(.f64 (neg.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 0 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2)))
(.f64 (neg.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (+.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))))
(.f64 (neg.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))))
(.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) (-.f64 0 (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (log.f64 base)) 2)))
(.f64 (neg.f64 (/.f64 1/2 (log.f64 base))) (-.f64 (/.f64 0 (log.f64 base)) (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (log.f64 base)) 2)))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2)) (/.f64 1/2 (.f64 (log.f64 base) (*.f64 (log.f64 base) 2))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2)) (-.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (.f64 (log.f64 base) (.f64 (log.f64 base) 2)))))
(.f64 (+.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (/.f64 1/2 (.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (*.f64 (log.f64 base) (log.f64 base)))) -1/2)
(.f64 (+.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base)) (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))) (log.f64 base))) (/.f64 1/2 (neg.f64 (log.f64 base))))
(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (.f64 (log.f64 base) 0) (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0))))
(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0) (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0))))
(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 2)))))
(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0))) (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))))
(.f64 (neg.f64 (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (log.f64 base)) 2)) (-.f64 0 (/.f64 1/2 (log.f64 base))))
(.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2))) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))))) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (*.f64 (log.f64 base) (log.f64 base))))

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 1/2 (/.f64 im (pow.f64 re 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 1/2 (/.f64 im (pow.f64 re 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 1/2 (/.f64 im (pow.f64 re 2))) (+.f64 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) 1/16)) (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 im 3) (pow.f64 re 4))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(*.f64 re -1)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (*.f64 re -1) (/.f64 -1/2 (/.f64 re (pow.f64 im 2))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 re -1) (+.f64 (/.f64 -1/2 (/.f64 re (pow.f64 im 2))) (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)))
(+.f64 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8) (+.f64 (.f64 re -1) (/.f64 -1/2 (/.f64 re (pow.f64 im 2)))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(+.f64 (.f64 re -1) (+.f64 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8) (+.f64 (/.f64 -1/2 (/.f64 re (pow.f64 im 2))) (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))))
(+.f64 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8) (+.f64 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16) (+.f64 (*.f64 re -1) (/.f64 -1/2 (/.f64 re (pow.f64 im 2))))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))
(+.f64 im (/.f64 1/2 (/.f64 im (pow.f64 re 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 1/2 (/.f64 im (pow.f64 re 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 1/2 (/.f64 im (pow.f64 re 2))) (+.f64 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) 1/16)) (+.f64 (/.f64 -1/8 (/.f64 (pow.f64 im 3) (pow.f64 re 4))) im)))
(*.f64 -1 im)
(*.f64 im -1)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))
(+.f64 (.f64 im -1) (.f64 (/.f64 (pow.f64 re 2) 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 -1 im)))
(+.f64 (.f64 (/.f64 (pow.f64 re 2) im) -1/2) (+.f64 (/.f64 (.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (*.f64 im -1)))
(+.f64 (.f64 im -1) (+.f64 (/.f64 (.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (*.f64 (/.f64 (pow.f64 re 2) im) -1/2)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(+.f64 (/.f64 (.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (+.f64 (/.f64 (.f64 (pow.f64 re 6) -1/16) (pow.f64 im 5)) (+.f64 (.f64 im -1) (.f64 (/.f64 (pow.f64 re 2) im) -1/2))))
(+.f64 (.f64 (/.f64 (pow.f64 re 2) im) -1/2) (+.f64 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 im 5) -1/16)) (+.f64 (/.f64 (.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (*.f64 im -1))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/2 (*.f64 (pow.f64 re 2) (/.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (/.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 re 4) (/.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (/.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 re 4) (/.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (/.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/6 (*.f64 (pow.f64 re 6) (/.f64 (log.f64 base) (pow.f64 im 6)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (/.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))) (+.f64 (/.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 im)))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(.f64 (log.f64 base) (.f64 -1 (log.f64 (/.f64 1 re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 1/2 (.f64 (pow.f64 im 2) (/.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 (log.f64 base) (.f64 -1 (log.f64 (/.f64 1 re)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (pow.f64 re 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 im 2) (/.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)))))
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(.f64 (neg.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base)))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0))) (+.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))))
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (log.f64 base)) 2)) (-.f64 0 (/.f64 1/2 (log.f64 base))))
(.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (log.f64 base))) 0))
(.f64 (/.f64 -1/2 (log.f64 base)) (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (log.f64 base)) -2))
(.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) 2))) (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (neg.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))))) (.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) 2))
(/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (/.f64 (-.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (/.f64 (-.f64 (.f64 0 (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))

eval322.0ms (1.6%)

Compiler: Compiled 22678 to 8023 computations (64.6% saved)

prune166.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	567	23	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	568	23	591

Error

0.2b

Counts

591 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 1 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 (log.f64 base) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (.f64 (log.f64 base) (log.f64 base)))
	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
▶	34.1b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 im -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	34.2b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (+.f64 (.f64 2 (log.f64 base)) (.f64 2 (log.f64 base))) (+.f64 (log.f64 base) (.f64 2 (log.f64 base)))))) (.f64 (log.f64 base) (log.f64 base)))
▶	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	34.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (/.f64 1 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))
	34.2b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (.f64 (log.f64 base) (-.f64 (+.f64 (.f64 2 (log.f64 base)) (.f64 2 (log.f64 base))) (+.f64 (log.f64 base) (.f64 2 (log.f64 base))))))
▶	44.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	47.0b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 im) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
	34.1b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 1/2 (-.f64 (.f64 (log.f64 base) (+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 2 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))
	45.9b	(/.f64 (log.f64 (/.f64 -1 im)) (neg.f64 (log.f64 base)))
▶	33.9b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
	44.4b	(/.f64 (log.f64 re) (log.f64 base))
▶	46.9b	(/.f64 (log.f64 im) (log.f64 base))
	34.1b	(-.f64 (.f64 (.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (log.f64 base)) 2) (/.f64 1 (log.f64 base))) (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0)) (*.f64 (log.f64 base) (log.f64 base))))
	34.0b	(+.f64 (.f64 (atan2.f64 im re) (/.f64 0 (.f64 (log.f64 base) (log.f64 base)))) (.f64 (log.f64 base) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (log.f64 base) (log.f64 base)))))
	34.0b	(.f64 (/.f64 (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (atan2.f64 im re) 0)) (log.f64 base)) (/.f64 1 (log.f64 base)))
	34.0b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (-.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 0 (atan2.f64 im re))))
	34.0b	(.f64 2 (/.f64 1/2 (.f64 (log.f64 base) (/.f64 (log.f64 base) (+.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (atan2.f64 im re) 0))))))

Compiler

Compiled 1266 to 760 computations (40% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 re 2) (pow.f64 im 2))
✓	0.3b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
✓	31.4b	(sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series5.0ms (0%)

Counts

3 → 62

Calls

21 calls:

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

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`rational.json-1`
1796×	`rational.json-2`
1796×	`rational.json-4`
1796×	`rational.json-3`
702×	`rational.json-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	77	79
2	213	79
3	923	79
4	5862	79

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

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

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simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1612×	`rational.json-simplify-27`
1220×	`rational.json-simplify-33`
616×	`rational.json-simplify-51`
534×	`rational.json-simplify-55`
532×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	9669
1	1621	9305
2	6381	9305

Stop Event

1×	node limit

Counts

249 → 328

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series94.0ms (0.5%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
20.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
13.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
10.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational.json-1`
1122×	`rational.json-2`
1122×	`rational.json-4`
1122×	`rational.json-3`
1068×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	46	15
2	147	15
3	656	15
4	4032	15

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

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(/.f64 (log.f64 im) (neg.f64 (log.f64 base))) (*.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 0) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))) (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (-.f64 0 (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (-.f64 (/.f64 0 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simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-51`
1218×	`rational.json-simplify-39`
1164×	`rational.json-simplify-27`
1106×	`rational.json-simplify-37`
824×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2904
1	1035	2798
2	4561	2786

Stop Event

1×	node limit

Counts

158 → 162

Calls

Call 1

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
✓	0.2b	(*.f64 (log.f64 re) (log.f64 base))
	0.6b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 57 to 18 computations (68.4% saved)

series51.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	base	@	0	(*.f64 (log.f64 re) (log.f64 base))
13.0ms	re	@	0	(*.f64 (log.f64 re) (log.f64 base))
8.0ms	re	@	-inf	(*.f64 (log.f64 re) (log.f64 base))
8.0ms	re	@	inf	(*.f64 (log.f64 re) (log.f64 base))
5.0ms	im	@	0	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-simplify-5`
994×	`rational.json-simplify-14`
884×	`rational.json-simplify-21`
878×	`rational.json-1`
878×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	89	68
2	327	68
3	2103	68

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-26`
806×	`rational.json-simplify-51`
622×	`rational.json-simplify-13`
608×	`rational.json-simplify-24`
548×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	13909
1	1591	13125
2	7146	13125

Stop Event

1×	node limit

Counts

295 → 300

Calls

Call 1

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.4b	(/.f64 (log.f64 base) (/.f64 1 (log.f64 base)))
	31.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 115 to 30 computations (73.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite158.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`rational.json-1`
1480×	`rational.json-2`
1480×	`rational.json-4`
1480×	`rational.json-3`
864×	`rational.json-simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
1	130	90
2	503	90
3	3771	90

Stop Event

1×	node limit

Counts

2 → 329

Calls

Call 1

Inputs

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

(/.f64 (+.f64 (*.f64 (atan2.f64 im re) 0) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))

Outputs

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simplify231.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1030×	`rational.json-simplify-13`
742×	`rational.json-simplify-51`
652×	`rational.json-simplify-41`
602×	`rational.json-simplify-39`
598×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	778	21809
1	2019	21661

Stop Event

1×	node limit

Counts

377 → 411

Calls

Call 1

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	0.6b	(*.f64 (log.f64 base) (log.f64 base))
	31.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 137 to 42 computations (69.3% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite171.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`rational.json-1`
1514×	`rational.json-2`
1514×	`rational.json-4`
1514×	`rational.json-3`
934×	`rational.json-simplify-30`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	140	118
2	534	118
3	3683	118

Stop Event

1×	node limit

Counts

2 → 341

Calls

Call 1

Inputs

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

(/.f64 (+.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))) (*.f64 (log.f64 base) (log.f64 base)))

Outputs

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simplify291.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

982×	`rational.json-simplify-13`
806×	`rational.json-simplify-11`
790×	`rational.json-simplify-15`
778×	`rational.json-simplify-18`
678×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1019	31609
1	2865	29971

Stop Event

1×	node limit

Counts

413 → 490

Calls

Call 1

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

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

eval1.1s (5.5%)

Compiler: Compiled 79265 to 33670 computations (57.5% saved)

prune1.1s (5.6%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	2122	32	2154
Fresh	13	5	18
Picked	1	0	1
Done	2	2	4
Total	2138	39	2177

Error

0.1b

Counts

2177 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(/.f64 (-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -4)) (log.f64 base))
	44.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 (log.f64 re) (/.f64 1 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (.f64 im -1))))) (*.f64 (log.f64 base) (log.f64 base)))
	44.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 re)))) (.f64 (log.f64 base) (log.f64 base)))
▶	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 re -1)) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 im -1)) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 im -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	34.2b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (-.f64 (+.f64 (.f64 2 (log.f64 base)) (.f64 2 (log.f64 base))) (+.f64 (log.f64 base) (.f64 2 (log.f64 base)))))) (.f64 (log.f64 base) (log.f64 base)))
	34.2b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (.f64 (log.f64 base) (-.f64 (+.f64 (.f64 2 (log.f64 base)) (.f64 2 (log.f64 base))) (+.f64 (log.f64 base) (.f64 2 (log.f64 base))))))
	44.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (pow.f64 (log.f64 base) 2))
	44.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	44.5b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 re) (log.f64 base))) (.f64 1/2 (-.f64 (.f64 (log.f64 base) (+.f64 (log.f64 base) (.f64 2 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))))
	44.4b	(/.f64 (neg.f64 (log.f64 re)) (log.f64 (/.f64 1 base)))
	48.6b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
	50.5b	(/.f64 (log.f64 (+.f64 (neg.f64 re) (/.f64 (pow.f64 im 2) (/.f64 re -1/2)))) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
	49.4b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
	45.9b	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
▶	44.4b	(/.f64 (log.f64 re) (log.f64 base))
✓	46.9b	(/.f64 (log.f64 im) (log.f64 base))
	46.9b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
	49.4b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
	34.3b	(-.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (log.f64 base)) (/.f64 2 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
	47.1b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base)))
	47.2b	(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 4 (/.f64 (log.f64 base) (log.f64 im)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base))))
	47.0b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 im) 3)) (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))
	34.0b	(*.f64 (/.f64 2 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) 1/2)
	44.4b	(.f64 (/.f64 2 (.f64 (log.f64 base) (/.f64 (log.f64 base) (+.f64 (.f64 (log.f64 re) (log.f64 base)) (.f64 (atan2.f64 im re) 0))))) 1/2)
▶	44.4b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (+.f64 (.f64 (log.f64 re) (log.f64 base)) (.f64 (atan2.f64 im re) 0)))
▶	33.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
	47.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	44.5b	(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (-.f64 (+.f64 (.f64 (log.f64 base) (.f64 (log.f64 re) 2)) (+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 0 (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 re))))
	44.5b	(.f64 (/.f64 1/2 (.f64 (log.f64 base) (log.f64 base))) (-.f64 (+.f64 (.f64 0 (atan2.f64 im re)) (.f64 (log.f64 base) (+.f64 (log.f64 re) (.f64 (log.f64 re) 2)))) (.f64 (log.f64 base) (log.f64 re))))
	34.0b	(*.f64 (/.f64 -1/2 (log.f64 base)) (/.f64 -1 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
▶	47.1b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
	47.0b	(.f64 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 (log.f64 im) 3) (log.f64 base))) -1/2)
	47.0b	(*.f64 (neg.f64 (log.f64 im)) (-.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base)))))

Compiler

Compiled 1621 to 1098 computations (32.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 re 2) (pow.f64 im 2))
✓	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
	31.4b	(sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))

Compiler

Compiled 58 to 40 computations (31% saved)

series3.0ms (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 1 (log.f64 base))
0.0ms	base	@	0	(/.f64 1 (log.f64 base))
0.0ms	re	@	inf	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
0.0ms	re	@	-inf	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2116×	`rational.json-1`
2112×	`rational.json-2`
784×	`rational.json-simplify-5`
718×	`rational.json-simplify-13`
536×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	87	48
2	228	48
3	1038	48
4	6966	48

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1474×	`rational.json-simplify-39`
1282×	`rational.json-simplify-51`
1090×	`rational.json-simplify-41`
584×	`rational.json-simplify-55`
414×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	412	7739
1	1361	7619
2	6173	7619

Stop Event

1×	node limit

Counts

209 → 241

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 re) (log.f64 base))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series0.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational.json-1`
1122×	`rational.json-2`
1122×	`rational.json-4`
1122×	`rational.json-3`
1068×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	46	15
2	147	15
3	656	15
4	4032	15

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

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simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-51`
1218×	`rational.json-simplify-39`
1164×	`rational.json-simplify-27`
1106×	`rational.json-simplify-37`
824×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2904
1	1035	2798
2	4562	2786

Stop Event

1×	node limit

Counts

158 → 162

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 im) 6)
✓	0.2b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
✓	0.3b	(/.f64 -1/2 (log.f64 base))
✓	0.4b	(-.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 im) 6))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series9.0ms (0%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	base	@	-inf	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
1.0ms	base	@	0	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
1.0ms	base	@	inf	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
1.0ms	im	@	-inf	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
1.0ms	im	@	inf	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`rational.json-simplify-11`
1030×	`rational.json-simplify-1`
776×	`rational.json-1`
776×	`rational.json-2`
776×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	92
1	94	60
2	333	48
3	1904	48

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

Inputs
(-.f64 (.f64 (log.f64 im) 4) (.f64 (log.f64 im) 6))
(/.f64 -1/2 (log.f64 base))
(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 im) 4) (*.f64 (log.f64 im) 6)))
(*.f64 (log.f64 im) 6)

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational.json-simplify-19`
884×	`rational.json-simplify-3`
786×	`rational.json-simplify-15`
614×	`rational.json-simplify-7`
588×	`rational.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	10083
1	2068	9959

Stop Event

1×	node limit

Counts

347 → 421

Calls

Call 1

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (+.f64 (.f64 (log.f64 re) (log.f64 base)) (.f64 (atan2.f64 im re) 0)))
	0.2b	(*.f64 (log.f64 re) (log.f64 base))
✓	0.2b	(/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))
	0.6b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 67 to 23 computations (65.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational.json-simplify-27`
1034×	`rational.json-simplify-37`
978×	`rational.json-simplify-38`
876×	`rational.json-1`
876×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	100	74
2	323	74
3	1940	74

Stop Event

1×	node limit

Counts

2 → 247

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

740×	`rational.json-simplify-19`
658×	`rational.json-simplify-15`
586×	`rational.json-simplify-1`
564×	`rational.json-simplify-18`
482×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	14721
1	1914	14259

Stop Event

1×	node limit

Counts

295 → 317

Calls

Call 1

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.2b	(/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))
✓	0.2b	(/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))
	0.6b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 97 to 58 computations (40.2% saved)

series36.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	base	@	0	(/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))
9.0ms	re	@	inf	(/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))
6.0ms	im	@	0	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
3.0ms	base	@	inf	(/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`rational.json-1`
1324×	`rational.json-2`
1324×	`rational.json-4`
1324×	`rational.json-3`
896×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	119
1	131	119
2	515	115
3	3458	115

Stop Event

1×	node limit

Counts

3 → 368

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify242.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

678×	`rational.json-simplify-39`
676×	`rational.json-simplify-3`
658×	`rational.json-simplify-51`
618×	`rational.json-simplify-9`
618×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	768	21276
1	1937	20786
2	7997	20230

Stop Event

1×	node limit

Counts

452 → 439

Calls

Call 1

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

eval979.0ms (5%)

Compiler: Compiled 49195 to 26050 computations (47% saved)

prune722.0ms (3.7%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	1964	25	1989
Fresh	15	17	32
Picked	1	0	1
Done	3	3	6
Total	1983	45	2028

Error

0.1b

Counts

2028 → 45

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
▶	47.0b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	47.1b	(/.f64 (-.f64 (/.f64 (log.f64 im) 1/3) (*.f64 (log.f64 im) 2)) (log.f64 base))
	44.5b	(/.f64 (-.f64 (.f64 (log.f64 re) -3) (.f64 (log.f64 re) -4)) (log.f64 base))
	47.1b	(/.f64 (-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -4)) (log.f64 base))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (.f64 im -1))))) (*.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (+.f64 (*.f64 (atan2.f64 im re) 0) (/.f64 1 (/.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (pow.f64 (log.f64 base) 2))
	49.5b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (/.f64 -1 re)) (-.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) 4)))) (*.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 re -1)) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
▶	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 im -1)) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	45.9b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 im -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	34.1b	(/.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (-.f64 (.f64 (log.f64 base) 3) (log.f64 base)))
	44.4b	(/.f64 (neg.f64 (log.f64 re)) (log.f64 (/.f64 1 base)))
	48.6b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
	50.5b	(/.f64 (log.f64 (+.f64 (neg.f64 re) (/.f64 (pow.f64 im 2) (/.f64 re -1/2)))) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
	49.4b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
▶	45.9b	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
✓	44.4b	(/.f64 (log.f64 re) (log.f64 base))
✓	46.9b	(/.f64 (log.f64 im) (log.f64 base))
	34.0b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
	46.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	47.0b	(/.f64 1/2 (/.f64 (/.f64 -1/4 (log.f64 im)) (/.f64 -1/2 (log.f64 base))))
	34.0b	(/.f64 1/2 (.f64 (.f64 (log.f64 base) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
	44.4b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
	49.4b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
	44.6b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 re))) (/.f64 (*.f64 (log.f64 re) 3) (log.f64 base)))
	47.1b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base)))
	47.2b	(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 4 (/.f64 (log.f64 base) (log.f64 im)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base))))
	47.0b	(-.f64 (.f64 (/.f64 1/2 (log.f64 base)) (.f64 (log.f64 im) 3)) (*.f64 (log.f64 im) (/.f64 1/2 (log.f64 base))))
	49.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (+.f64 (.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (atan2.f64 im re) 0)))
	44.5b	(*.f64 (/.f64 (neg.f64 (log.f64 re)) 1/2) (-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 (/.f64 1 (log.f64 base)) 1/2)))
	49.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
	45.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 im)))
	44.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
	47.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	44.4b	(.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (.f64 1/2 (/.f64 1/2 (log.f64 re)))))
	44.5b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 re) 4) (*.f64 (log.f64 re) 6)))
	44.5b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 re) 3) (+.f64 (log.f64 re) (*.f64 (log.f64 re) 4))))
	44.5b	(.f64 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 (log.f64 re) 3) (log.f64 base))) -1/2)
▶	47.0b	(.f64 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 (log.f64 im) 3) (log.f64 base))) -1/2)
	34.2b	(*.f64 (-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
	34.2b	(*.f64 (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
	47.1b	(*.f64 (log.f64 im) (/.f64 (-.f64 (/.f64 -2 (log.f64 base)) (/.f64 -3 (log.f64 base))) 1))

Compiler

Compiled 1531 to 1124 computations (26.6% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.3b	(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
✓	0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
	31.4b	(sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))

Compiler

Compiled 71 to 51 computations (28.2% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational.json-simplify-13`
1114×	`rational.json-simplify-5`
750×	`rational.json-simplify-31`
654×	`rational.json-1`
654×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	103	70
2	330	70
3	1687	70

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

760×	`rational.json-simplify-11`
758×	`rational.json-simplify-39`
598×	`rational.json-simplify-15`
594×	`rational.json-simplify-18`
580×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	675	15070
1	2401	14650

Stop Event

1×	node limit

Counts

254 → 327

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (/.f64 (pow.f64 re 2) (log.f64 base)) (pow.f64 im 2))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 re 2) (log.f64 base)) (pow.f64 im 2))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (/.f64 (pow.f64 re 2) (log.f64 base)) (pow.f64 im 2))) (+.f64 (.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 1 re)) (neg.f64 (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 (/.f64 1 re)) (neg.f64 (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))))
(+.f64 (/.f64 (log.f64 (/.f64 1 re)) (neg.f64 (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (.f64 1/720 (/.f64 (+.f64 (.f64 (pow.f64 im 6) 90) (.f64 (pow.f64 im 6) 30)) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 re)) (neg.f64 (log.f64 base))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/720 (/.f64 (+.f64 (.f64 (pow.f64 im 6) 90) (.f64 (pow.f64 im 6) 30)) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
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(.f64 (/.f64 1/2 (log.f64 base)) (-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(*.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 base))) (/.f64 1/2 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(.f64 (+.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 base))) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 1/2) (/.f64 1/2 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 (-.f64 (neg.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 -1/2 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 (-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))) -1/2)
(*.f64 -1/2 (-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))))
(*.f64 1/2 (-.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 base)))))
(.f64 (neg.f64 (neg.f64 (/.f64 2 (log.f64 base)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 1/2))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(.f64 (neg.f64 (neg.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 1/2))) (/.f64 2 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(.f64 (neg.f64 (neg.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))) (/.f64 1/2 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 0)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 0 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (-.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (-.f64 0 (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 0)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (+.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (+.f64 (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 0 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) -1/2))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) -1))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (-.f64 (+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (-.f64 (/.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (/.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (/.f64 (+.f64 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 1 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 2 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 1)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 1/2 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 2)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1/2 (/.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) -1/2))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1/2 (-.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (+.f64 (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1/2 (+.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) 1/2)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -2 (-.f64 0 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -2 (/.f64 -1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 4 (/.f64 1/2 (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 4 (-.f64 (/.f64 1/2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 1/2 (.f64 2 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) -1/2)
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(neg.f64 (/.f64 -1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series64.0ms (0.3%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	base	@	0	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
9.0ms	im	@	inf	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
7.0ms	im	@	0	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`rational.json-1`
1176×	`rational.json-2`
1176×	`rational.json-4`
1176×	`rational.json-3`
1102×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	55	19
2	171	19
3	718	19
4	4323	19

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

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simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-51`
1210×	`rational.json-simplify-39`
1172×	`rational.json-simplify-27`
1136×	`rational.json-simplify-37`
844×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3658
1	1042	3550
2	4543	3530

Stop Event

1×	node limit

Counts

162 → 167

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	0.2b	(/.f64 1 (log.f64 im))
	0.3b	(/.f64 1 (log.f64 base))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational.json-simplify-3`
720×	`rational.json-simplify-5`
646×	`rational.json-simplify-13`
642×	`rational.json-simplify-31`
518×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	73	26
2	268	26
3	1414	26

Stop Event

1×	node limit

Counts

2 → 199

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-37`
1392×	`rational.json-simplify-39`
954×	`rational.json-simplify-29`
902×	`rational.json-simplify-41`
512×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	386	4011
1	1246	3875
2	5519	3875

Stop Event

1×	node limit

Counts

231 → 219

Calls

Call 1

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log.f64 im) 3)
	0.2b	(/.f64 (log.f64 im) (log.f64 base))
✓	0.2b	(/.f64 (*.f64 (log.f64 im) 3) (log.f64 base))
✓	0.3b	(-.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base)))

Compiler

Compiled 55 to 23 computations (58.2% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-1`
952×	`rational.json-simplify-14`
846×	`rational.json-simplify-11`
786×	`rational.json-simplify-21`
680×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	75	63
2	270	53
3	1509	53

Stop Event

1×	node limit

Counts

3 → 343

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3) (-.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3) (-.f64 (*.f64 (log.f64 im) -3) (*.f64 (log.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3) (+.f64 0 (-.f64 (*.f64 (log.f64 im) -3) (*.f64 (log.f64 im) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3) (-.f64 0 (-.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 6) (+.f64 0 (*.f64 (log.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) -3) (*.f64 (log.f64 im) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)) (-.f64 0 (+.f64 (*.f64 (log.f64 im) 3) (*.f64 (log.f64 im) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3/2) (*.f64 (log.f64 im) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 3/2) (+.f64 0 (*.f64 (log.f64 im) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) 3) (-.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (log.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 im) 3) (*.f64 (log.f64 im) 6)) (*.f64 (log.f64 im) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)) (+.f64 (*.f64 (log.f64 im) 3) (*.f64 (log.f64 im) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/3 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/6 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 1/2 (log.f64 im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (*.f64 (log.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (*.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (/.f64 1 (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (/.f64 -1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (-.f64 0 (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 6 (/.f64 (/.f64 1 (log.f64 im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/2 (/.f64 1/2 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (log.f64 im) (*.f64 (log.f64 im) 2)) (*.f64 (log.f64 im) 4)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)) (*.f64 (log.f64 im) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (log.f64 im) 3) (*.f64 (log.f64 im) 6)) (+.f64 (*.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 im) -3))))))

simplify169.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1362×	`rational.json-simplify-3`
864×	`rational.json-simplify-18`
714×	`rational.json-simplify-19`
670×	`rational.json-simplify-14`
638×	`rational.json-simplify-20`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	666	14541
1	2577	14083

Stop Event

1×	node limit

Counts

403 → 537

Calls

Call 1

Inputs
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(+.f64 (.f64 (log.f64 im) 6) (+.f64 0 (.f64 (log.f64 im) -3)))
(+.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) 6))
(+.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) -3))
(+.f64 (+.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 6)) (-.f64 0 (+.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 im) 6))))
(+.f64 0 (-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 3)))
(+.f64 0 (-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -6)))
(+.f64 (.f64 (log.f64 im) 3/2) (.f64 (log.f64 im) 3/2))
(+.f64 (.f64 (log.f64 im) 3/2) (+.f64 0 (.f64 (log.f64 im) 3/2)))
(+.f64 0 (+.f64 (.f64 (log.f64 im) 3/2) (.f64 (log.f64 im) 3/2)))
(-.f64 (*.f64 (log.f64 im) 3) 0)
(*.f64 (log.f64 im) 3)
(-.f64 (.f64 (log.f64 im) 3) (-.f64 (.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 6)))
(-.f64 (.f64 (log.f64 im) 6) (-.f64 (.f64 (log.f64 im) 6) (*.f64 (log.f64 im) 3)))
(-.f64 (.f64 (log.f64 im) 6) (-.f64 (.f64 (log.f64 im) -3) (*.f64 (log.f64 im) -6)))
(-.f64 0 (*.f64 (log.f64 im) -3))
(*.f64 (log.f64 im) 3)
(-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 3))
(-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -6))
(-.f64 (+.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 im) 6)) (*.f64 (log.f64 im) 6))
(+.f64 (.f64 (log.f64 im) 6) (-.f64 (.f64 (log.f64 im) 3) (*.f64 (log.f64 im) 6)))
(+.f64 (.f64 (log.f64 im) 6) (+.f64 (.f64 (log.f64 im) 3) (*.f64 (log.f64 im) -6)))
(-.f64 (+.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 6)) (+.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 im) 6)))
(-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 3))
(-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -6))
(/.f64 (log.f64 im) 1/3)
(*.f64 (log.f64 im) 3)
(/.f64 3 (/.f64 1 (log.f64 im)))
(*.f64 (log.f64 im) 3)
(/.f64 (*.f64 (log.f64 im) 3) 1)
(*.f64 (log.f64 im) 3)
(/.f64 1 (/.f64 1/3 (log.f64 im)))
(*.f64 (log.f64 im) 3)
(/.f64 (*.f64 (log.f64 im) 6) 2)
(*.f64 (log.f64 im) 3)
(/.f64 1/2 (/.f64 1/6 (log.f64 im)))
(*.f64 (log.f64 im) 3)
(/.f64 1/2 (*.f64 (/.f64 1/2 (log.f64 im)) 1/3))
(*.f64 (log.f64 im) 3)
(/.f64 (*.f64 (log.f64 im) -3) -1)
(*.f64 (log.f64 im) 3)
(/.f64 -1 (/.f64 1 (*.f64 (log.f64 im) -3)))
(*.f64 (log.f64 im) 3)
(/.f64 -1 (/.f64 -1 (*.f64 (log.f64 im) 3)))
(*.f64 (log.f64 im) 3)
(/.f64 (neg.f64 (log.f64 im)) -1/3)
(*.f64 (log.f64 im) 3)
(/.f64 -3 (/.f64 1 (neg.f64 (log.f64 im))))
(*.f64 (log.f64 im) 3)
(/.f64 -3 (/.f64 -1 (log.f64 im)))
(*.f64 (log.f64 im) 3)
(/.f64 -3 (-.f64 0 (/.f64 1 (log.f64 im))))
(/.f64 -3 (neg.f64 (/.f64 1 (log.f64 im))))
(/.f64 6 (/.f64 (/.f64 1 (log.f64 im)) 1/2))
(*.f64 (log.f64 im) 3)
(/.f64 3/2 (/.f64 1/2 (log.f64 im)))
(*.f64 (log.f64 im) 3)
(/.f64 (-.f64 (+.f64 (log.f64 im) (.f64 (log.f64 im) 2)) (.f64 (log.f64 im) 4)) -1/3)
(/.f64 (-.f64 (.f64 (log.f64 im) 4) (+.f64 (log.f64 im) (.f64 (log.f64 im) 2))) 1/3)
(-.f64 (/.f64 (+.f64 (log.f64 im) (.f64 (log.f64 im) 2)) -1/3) (.f64 (log.f64 im) -12))
(/.f64 (-.f64 (-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 6)) (*.f64 (log.f64 im) 3)) -1)
(neg.f64 (-.f64 (-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 6)) (*.f64 (log.f64 im) 3)))
(/.f64 (-.f64 (+.f64 (.f64 (log.f64 im) 3) (.f64 (log.f64 im) 6)) (+.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 6))) -1)
(/.f64 (-.f64 (.f64 (log.f64 im) 6) (.f64 (log.f64 im) 3)) 1)
(/.f64 (-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -6)) 1)
(neg.f64 (*.f64 (log.f64 im) -3))
(*.f64 (log.f64 im) 3)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

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

✓

0.2b

(*.f64 (log.f64 (*.f64 re -1)) (log.f64 base))

0.6b

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

Compiler

Compiled 69 to 34 computations (50.7% saved)

series25.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	base	@	0	(.f64 (log.f64 (.f64 re -1)) (log.f64 base))
6.0ms	im	@	0	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
1.0ms	base	@	-inf	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
1.0ms	base	@	inf	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (.f64 re -1)) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
0.0ms	base	@	inf	(.f64 (log.f64 (.f64 re -1)) (log.f64 base))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`rational.json-simplify-5`
1058×	`rational.json-simplify-14`
940×	`rational.json-simplify-21`
904×	`rational.json-1`
904×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	101	76
2	352	76
3	2170	76

Stop Event

1×	node limit

Counts

2 → 235

Calls

Call 1

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

Outputs

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simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-26`
750×	`rational.json-simplify-51`
678×	`rational.json-simplify-13`
602×	`rational.json-simplify-24`
572×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	15177
1	1621	14325
2	7296	14325

Stop Event

1×	node limit

Counts

295 → 303

Calls

Call 1

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

eval1.0s (5.3%)

Compiler: Compiled 49175 to 26781 computations (45.5% saved)

prune896.0ms (4.6%)

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	1961	14	1975
Fresh	11	26	37
Picked	1	0	1
Done	1	6	7
Total	1974	46	2020

Error

0.1b

Counts

2020 → 46

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
	49.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
	45.9b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 im))))
	44.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 re)))
✓	47.0b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	47.1b	(/.f64 (/.f64 1 (log.f64 base)) (-.f64 (/.f64 4 (log.f64 im)) (/.f64 3 (log.f64 im))))
	47.1b	(/.f64 (-.f64 (/.f64 (log.f64 im) 1/3) (*.f64 (log.f64 im) 2)) (log.f64 base))
	46.0b	(/.f64 (-.f64 (.f64 (log.f64 (neg.f64 im)) -3) (.f64 (log.f64 (neg.f64 im)) -4)) (log.f64 base))
	44.5b	(/.f64 (-.f64 (.f64 (log.f64 re) -3) (.f64 (log.f64 re) -4)) (log.f64 base))
	47.1b	(/.f64 (-.f64 (.f64 (log.f64 im) -3) (.f64 (log.f64 im) -4)) (log.f64 base))
	49.5b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (/.f64 -1 re)) (-.f64 (.f64 (log.f64 base) 3) (.f64 (log.f64 base) 4)))) (*.f64 (log.f64 base) (log.f64 base)))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 re -1)) (log.f64 base))) (pow.f64 (log.f64 base) 2))
	49.4b	(/.f64 (+.f64 (.f64 (atan2.f64 im re) 0) (.f64 (log.f64 (*.f64 re -1)) (log.f64 base))) (/.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
	44.4b	(/.f64 (neg.f64 (log.f64 re)) (log.f64 (/.f64 1 base)))
	50.5b	(/.f64 (log.f64 (+.f64 (neg.f64 re) (/.f64 (pow.f64 im 2) (/.f64 re -1/2)))) (log.f64 base))
✓	33.9b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
	49.4b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	45.9b	(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
✓	44.4b	(/.f64 (log.f64 re) (log.f64 base))
✓	46.9b	(/.f64 (log.f64 im) (log.f64 base))
	34.0b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
	46.9b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	47.0b	(/.f64 1/2 (/.f64 (/.f64 -1/4 (log.f64 im)) (/.f64 -1/2 (log.f64 base))))
	44.4b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
	49.4b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
	46.1b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))) (*.f64 (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) 3))
	44.6b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 re))) (/.f64 (*.f64 (log.f64 re) 3) (log.f64 base)))
	47.1b	(-.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base)))
	47.2b	(-.f64 (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 4 (/.f64 (log.f64 base) (log.f64 im)))) (+.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (*.f64 (log.f64 im) 3) (log.f64 base))))
	49.4b	(.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (+.f64 (.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (atan2.f64 im re) 0)))
	44.5b	(*.f64 (/.f64 (neg.f64 (log.f64 re)) 1/2) (-.f64 (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base))) (/.f64 (/.f64 1 (log.f64 base)) 1/2)))
	45.9b	(*.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))) 1/4)
	49.4b	(.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (atan2.f64 im re) 0)))
	49.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
	45.9b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 im)))
	44.4b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
	47.0b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	45.9b	(.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1/2 (.f64 1/2 (/.f64 1/2 (log.f64 (neg.f64 im))))))
	45.9b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (-.f64 0 (.f64 (log.f64 (neg.f64 im)) 3)) (neg.f64 (log.f64 (neg.f64 im)))))
	46.0b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 (neg.f64 im)) 4) (*.f64 (log.f64 (neg.f64 im)) 6)))
	44.5b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 re) 4) (*.f64 (log.f64 re) 6)))
	44.5b	(.f64 (/.f64 -1/2 (log.f64 base)) (-.f64 (.f64 (log.f64 re) 3) (+.f64 (log.f64 re) (*.f64 (log.f64 re) 4))))
	44.5b	(.f64 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 (log.f64 re) 3) (log.f64 base))) -1/2)
	34.2b	(*.f64 (-.f64 (/.f64 4 (log.f64 base)) (/.f64 3 (log.f64 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
	46.0b	(*.f64 (neg.f64 (log.f64 (neg.f64 im))) (-.f64 (/.f64 1/2 (log.f64 base)) (+.f64 (/.f64 1/2 (log.f64 base)) (/.f64 1 (log.f64 base)))))
	47.1b	(*.f64 (log.f64 im) (-.f64 (/.f64 3 (log.f64 base)) (/.f64 2 (log.f64 base))))

Compiler

Compiled 752 to 558 computations (25.8% saved)

regimes1.1s (5.3%)

Counts

96 → 5

Calls

Call 1

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

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

Calls

5 calls:

429.0ms	re
322.0ms	im
97.0ms	base
88.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
79.0ms	(log.f64 base)

Results

Error	Segments	Branch
16.8b	8	`re`
15.6b	5	`im`
33.9b	1	`base`
23.3b	3	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
33.9b	1	`(log.f64 base)`

Compiler

Compiled 1802 to 825 computations (54.2% saved)

bsearch124.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	3.2457811371936566e+53	7.308711850156658e+55
30.0ms	9.843333588630387e-225	1.3009237088573435e-219
37.0ms	5.534127312392971e-298	5.362951072908659e-291
26.0ms	-1.7214846736537205e+92	-1.2377509792153977e+90

Results

111.0ms

512×

body

256

valid

Compiler

Compiled 1246 to 966 computations (22.5% saved)

regimes468.0ms (2.4%)

Counts

67 → 5

Calls

Call 1

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

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

Calls

4 calls:

222.0ms	re
136.0ms	im
55.0ms	base
33.0ms	(log.f64 base)

Results

Error	Segments	Branch
16.8b	8	`re`
15.6b	5	`im`
33.9b	1	`base`
33.9b	1	`(log.f64 base)`

Compiler

Compiled 939 to 490 computations (47.8% saved)

bsearch99.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	3.2457811371936566e+53	7.308711850156658e+55
29.0ms	9.843333588630387e-225	1.3009237088573435e-219
19.0ms	2.1619266731876748e-305	1.0962900056396426e-303
27.0ms	-1.7214846736537205e+92	-1.2377509792153977e+90

Results

91.0ms

464×

body

256

valid

Compiler

Compiled 892 to 735 computations (17.6% saved)

regimes357.0ms (1.8%)

Counts

55 → 5

Calls

Call 1

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

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

Calls

4 calls:

172.0ms	re
106.0ms	im
37.0ms	base
25.0ms	(log.f64 base)

Results

Error	Segments	Branch
16.8b	8	`re`
15.6b	5	`im`
33.9b	1	`base`
33.9b	1	`(log.f64 base)`

Compiler

Compiled 704 to 383 computations (45.6% saved)

bsearch79.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	3.2457811371936566e+53	7.308711850156658e+55
28.0ms	9.843333588630387e-225	1.3009237088573435e-219
6.0ms	2.1619266731876748e-305	1.0962900056396426e-303
24.0ms	-1.0036465661631162e+80	-7.75506497821549e+75

Results

73.0ms

416×

body

256

valid

Compiler

Compiled 748 to 606 computations (19% saved)

regimes380.0ms (1.9%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

4 calls:

195.0ms	re
130.0ms	im
21.0ms	(log.f64 base)
20.0ms	base

Results

Error	Segments	Branch
16.8b	8	`re`
15.6b	5	`im`
33.9b	1	`base`
33.9b	1	`(log.f64 base)`

Compiler

Compiled 576 to 307 computations (46.7% saved)

bsearch106.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	3.2457811371936566e+53	7.308711850156658e+55
42.0ms	9.843333588630387e-225	1.3009237088573435e-219
21.0ms	2.1619266731876748e-305	1.0962900056396426e-303
22.0ms	-1.7214846736537205e+92	-1.2377509792153977e+90

Results

99.0ms

480×

body

256

valid

Compiler

Compiled 842 to 680 computations (19.2% saved)

regimes927.0ms (4.7%)

Counts

46 → 5

Calls

Call 1

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

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

Calls

4 calls:

361.0ms	(log.f64 base)
257.0ms	base
143.0ms	re
116.0ms	im

Results

Error	Segments	Branch
20.6b	7	`re`
19.1b	5	`im`
35.9b	12	`base`
35.9b	12	`(log.f64 base)`

Compiler

Compiled 564 to 299 computations (47% saved)

bsearch98.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
41.0ms	1.580228765730014e+27	4.547907268057255e+29
13.0ms	1.3009237088573435e-219	2.0673710501585644e-219
25.0ms	1.0962900056396426e-303	7.908468976780423e-301
19.0ms	-5.677049055074897e-43	-6.528774980550117e-44

Results

91.0ms

416×

body

256

valid

Compiler

Compiled 575 to 459 computations (20.2% saved)

regimes184.0ms (0.9%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

4 calls:

63.0ms	(log.f64 base)
53.0ms	base
38.0ms	re
26.0ms	im

Results

Error	Segments	Branch
20.6b	7	`re`
19.1b	5	`im`
35.9b	12	`base`
35.9b	12	`(log.f64 base)`

Compiler

Compiled 71 to 39 computations (45.1% saved)

bsearch339.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.580228765730014e+27	4.547907268057255e+29
12.0ms	1.3009237088573435e-219	2.0673710501585644e-219
274.0ms	1.0962900056396426e-303	7.908468976780423e-301
23.0ms	-5.677049055074897e-43	-6.528774980550117e-44

Results

334.0ms

416×

body

256

valid

Compiler

Compiled 551 to 435 computations (21.1% saved)

regimes158.0ms (0.8%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	(log.f64 base)
51.0ms	base
28.0ms	re
19.0ms	im

Results

Error	Segments	Branch
20.6b	7	`re`
19.1b	5	`im`
35.9b	12	`base`
35.9b	12	`(log.f64 base)`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch65.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.580228765730014e+27	4.547907268057255e+29
12.0ms	1.3009237088573435e-219	2.0673710501585644e-219
7.0ms	1.0962900056396426e-303	7.908468976780423e-301
19.0ms	-5.677049055074897e-43	-6.528774980550117e-44

Results

61.0ms

320×

body

256

valid

Compiler

Compiled 409 to 317 computations (22.5% saved)

regimes104.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	base
32.0ms	(log.f64 base)
19.0ms	re
10.0ms	im

Results

Error	Segments	Branch
28.7b	6	`re`
21.1b	3	`im`
37.2b	10	`base`
37.2b	10	`(log.f64 base)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch47.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.580228765730014e+27	4.547907268057255e+29
19.0ms	-5.677049055074897e-43	-6.528774980550117e-44

Results

44.0ms

224×

body

256

valid

Compiler

Compiled 295 to 227 computations (23.1% saved)

regimes34.0ms (0.2%)

Accuracy

Total -29.0b remaining (-87.1%)

Threshold costs -29.0b (-87.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	re
9.0ms	base
9.0ms	(log.f64 base)
6.0ms	im

Results

Error	Segments	Branch
33.3b	2	`re`
33.9b	2	`im`
43.0b	2	`base`
43.0b	2	`(log.f64 base)`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	4.503620796806902e-144	2.4283997577991708e-138

Results

28.0ms

144×

body

256

valid

Compiler

Compiled 199 to 151 computations (24.1% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1258

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 im -140000000000000000283217114580876279082091815058876110987349097225028151831676155136128843776) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 3511119404027961/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (/.f64 1/2 (.f64 (.f64 (log.f64 base) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))) (if (<=.f64 im 4167509020549909/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336) (.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (+.f64 (.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (atan2.f64 im re) 0))) (if (<=.f64 im 47999999999999998313476068685604289016663575486242226176) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 6176826577981891/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) (/.f64 1/2 (.f64 (.f64 (log.f64 base) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))) (if (<=.f64 im 966585344121683/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 4000000000000000313166161618384975369221441199544467456) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (if (<=.f64 im 966585344121683/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 14000000000000000415516831822470486865525829334869213184) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -25000000000000001084432424365479651832257333123798482794794344733402920322242027773533093888) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1080944651146831/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (if (<=.f64 im 2708880863357441/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 71999999999999997470214103028406433524995363229363339264) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -6628619432568335/100433627766186892221372630771322662657637687111424552206336) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 4584363475845935/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (.f64 (/.f64 1 (log.f64 base)) (log.f64 re)) (if (<=.f64 im 1351311747538537/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -4268429180062943/50216813883093446110686315385661331328818843555712276103168) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1628655445366319/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 re)) (if (<=.f64 im 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -8637291987892073/100433627766186892221372630771322662657637687111424552206336) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744) (/.f64 (log.f64 re) (log.f64 base)) (if (<=.f64 im 8648395184246637/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -4770597318893877/25108406941546723055343157692830665664409421777856138051584) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re 8409377133659997/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(if (<=.f64 im -140000000000000000283217114580876279082091815058876110987349097225028151831676155136128843776) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 3511119404027961/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072) (/.f64 1/2 (.f64 (.f64 (log.f64 base) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))) (if (<=.f64 im 4167509020549909/416750902054990892129990736920078612321547395144744260024766113235252327363602004470089512554472143171433119412089577527868050103382460317522709753270676877880947348719625909903942392869488376545560313508492912623855671752342278830697742336) (.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (+.f64 (.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (atan2.f64 im re) 0))) (if (<=.f64 im 47999999999999998313476068685604289016663575486242226176) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -10999999999999999970559876307552691828070167161461735571653328770519817269159562185734619136) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 6176826577981891/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) (/.f64 1/2 (.f64 (.f64 (log.f64 base) 1/2) (/.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))) (if (<=.f64 im 966585344121683/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 4000000000000000313166161618384975369221441199544467456) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 4941461262385513/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (if (<=.f64 im 966585344121683/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 14000000000000000415516831822470486865525829334869213184) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -25000000000000001084432424365479651832257333123798482794794344733402920322242027773533093888) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1080944651146831/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (if (<=.f64 im 2708880863357441/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 71999999999999997470214103028406433524995363229363339264) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -6628619432568335/100433627766186892221372630771322662657637687111424552206336) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 4584363475845935/48256457640483526790736996345261885416402018013988046254372920519692978755949818346967788625106125949665803400115206697318508323999832505432847356782135608177546840733663168278805472312472633443174306792848764674320699568611310171751523817932405366025164140823449795139392236379439950593039113881265164914919783530496) (.f64 (/.f64 1 (log.f64 base)) (log.f64 re)) (if (<=.f64 im 1351311747538537/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272) (.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re))) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -4268429180062943/50216813883093446110686315385661331328818843555712276103168) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1628655445366319/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 re)) (if (<=.f64 im 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -8637291987892073/100433627766186892221372630771322662657637687111424552206336) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744) (/.f64 (log.f64 re) (log.f64 base)) (if (<=.f64 im 8648395184246637/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))))
(if (<=.f64 im -4770597318893877/25108406941546723055343157692830665664409421777856138051584) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)) (if (<=.f64 im 1600000000000000076235669504) (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re 8409377133659997/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 472 to 310 computations (34.3% saved)

soundness589.0ms (3%)

Algorithm

7×	egg-herbie

Rules

1612×	`rational.json-simplify-27`
1510×	`rational.json-simplify-55`
1510×	`rational.json-simplify-55`
1510×	`rational.json-simplify-55`
1510×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75
0	503	9669
1	1621	9305
2	6381	9305
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75
0	1019	31609
1	2865	29971
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75
0	21	75
1	39	75
2	79	75
3	235	75
4	988	75
5	4673	75
6	7583	75

Stop Event

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

Compiler

Compiled 620 to 227 computations (63.4% saved)

end157.0ms (0.8%)

Compiler: Compiled 445 to 216 computations (51.5% saved)