Details

analyze433.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
33.3%	25%	49.9%	0.1%	0%	25%	0%	7
33.3%	25%	49.9%	0.1%	0%	25%	0%	8
33.3%	25%	49.9%	0.1%	0%	25%	0%	9
60%	37.4%	25%	0.1%	0%	37.4%	0%	10
60%	37.4%	25%	0.1%	0%	37.4%	0%	11
60%	37.4%	25%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample6.2s (28.3%)

Results

4.8s	8256×	body	256	valid
1.3s	2133×	body	256	invalid

Bogosity

preprocess65.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

34×	`rational.json-simplify-2`
24×	`rational.json-simplify-54`
24×	`rational.json-simplify-55`
12×	`rational.json-simplify-73`
12×	`rational.json-simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	172
1	86	148
2	109	148
3	121	148
4	145	148
5	145	148
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
12×	`rational.json-simplify-54`
12×	`rational.json-simplify-55`
6×	`rational.json-simplify-73`
6×	`rational.json-simplify-71`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	33	37
2	43	37
3	49	37
4	61	37
5	61	37

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval6.0ms (0%)

Compiler: Compiled 57 to 24 computations (57.9% saved)

prune2.0ms (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

0.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 8 computations (76.5% saved)

series320.0ms (1.5%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
128.0ms	re	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
99.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
49.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
21.0ms	im	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
12.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))

rewrite214.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`rational.json-simplify-47`
712×	`rational.json-simplify-54`
660×	`rational.json-simplify-50`
642×	`rational.json-simplify-49`
606×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	92	69
2	314	69
3	1185	69
4	4932	69

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

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

Outputs

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

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

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

simplify251.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-2`
1084×	`rational.json-simplify-47`
720×	`rational.json-simplify-54`
704×	`rational.json-simplify-1`
676×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	3096
1	331	3056
2	625	3056
3	2288	3056
4	6567	3056

Stop Event

1×	node limit

Counts

144 → 78

Calls

Call 1

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

eval13.0ms (0.1%)

Compiler: Compiled 1799 to 324 computations (82% saved)

prune19.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Error

0.2b

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.5b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	7.6b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))
▶	11.7b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))))
▶	14.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))))

Compiler

Compiled 720 to 118 computations (83.6% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

9 calls:

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

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`rational.json-1`
1876×	`rational.json-5`
1876×	`rational.json-2`
1876×	`rational.json-3`
1874×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	74	17
2	252	17
3	933	17
4	3637	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-2`
1106×	`rational.json-simplify-54`
938×	`rational.json-simplify-111`
780×	`rational.json-simplify-55`
604×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	459
1	64	443
2	121	443
3	459	443
4	2676	443
5	6082	443

Stop Event

1×	node limit

Counts

19 → 16

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series1.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite146.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`rational.json-simplify-54`
680×	`rational.json-simplify-47`
572×	`rational.json-simplify-58`
554×	`rational.json-simplify-50`
544×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	98	44
2	314	44
3	1152	44
4	4589	44

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify178.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational.json-simplify-47`
1068×	`rational.json-simplify-2`
772×	`rational.json-simplify-54`
682×	`rational.json-simplify-41`
650×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1773
1	185	1749
2	368	1749
3	1437	1749
4	5103	1749

Stop Event

1×	node limit

Counts

83 → 49

Calls

Call 1

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

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

localize207.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 base) (atan2.f64 im re))
✓	0.4b	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	7.3b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))

Compiler

Compiled 114 to 15 computations (86.8% saved)

series8.0ms (0%)

Counts

3 → 80

Calls

27 calls:

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

rewrite192.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`rational.json-simplify-47`
988×	`rational.json-simplify-55`
718×	`rational.json-1`
718×	`rational.json-2`
718×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	223
1	127	133
2	405	133
3	1512	133
4	6902	133

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify276.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-104`
1222×	`rational.json-simplify-76`
950×	`rational.json-simplify-49`
904×	`rational.json-simplify-79`
876×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	7140
1	382	7100
2	631	7100
3	2279	7100
4	4775	7100

Stop Event

1×	node limit

Counts

156 → 95

Calls

Call 1

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

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

localize251.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 base) (atan2.f64 im re))
	0.4b	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	11.2b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))))

Compiler

Compiled 295 to 21 computations (92.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`rational.json-simplify-55`
834×	`rational.json-1`
834×	`rational.json-2`
834×	`rational.json-3`
832×	`rational.json-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	295
1	151	295
2	476	37
3	1835	37

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

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

Outputs

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

simplify172.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-43`
1012×	`rational.json-simplify-47`
918×	`rational.json-simplify-79`
854×	`rational.json-simplify-41`
808×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	1007
1	43	991
2	76	991
3	183	991
4	590	991
5	1335	991
6	3669	991
7	6452	991

Stop Event

1×	node limit

Counts

43 → 13

Calls

Call 1

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

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

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))
	0.4b	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	13.8b	(.f64 (.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))))

Compiler

Compiled 594 to 27 computations (95.5% saved)

series16.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	base	@	0	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))
1.0ms	re	@	0	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))
1.0ms	base	@	-inf	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))
1.0ms	im	@	0	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))
1.0ms	re	@	inf	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))))

rewrite190.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational.json-1`
986×	`rational.json-2`
986×	`rational.json-3`
984×	`rational.json-5`
982×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	962
1	173	710
2	563	368
3	2207	368
4	7805	368

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

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Outputs

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simplify301.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational.json-simplify-104`
906×	`rational.json-simplify-49`
848×	`rational.json-simplify-79`
812×	`rational.json-simplify-76`
702×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	10211
1	223	10187
2	378	10187
3	885	10187
4	2129	10187
5	4309	10187

Stop Event

1×	node limit

Counts

103 → 51

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
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eval2.0s (9.1%)

Compiler: Compiled 240558 to 12883 computations (94.6% saved)

prune1.6s (7.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1707	11	1718
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1710	13	1723

Error

0.0b

Counts

1723 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) 2) (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2)))
▶	0.6b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	15.2b	(.f64 (/.f64 (pow.f64 (atan2.f64 im re) 8) (pow.f64 (log.f64 base) 8)) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))))))
▶	7.5b	(.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	7.6b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))
	11.7b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))) (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))
▶	37.1b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base))))))
▶	11.6b	(.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
	14.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))))
	14.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))))))

Compiler

Compiled 1735 to 403 computations (76.8% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 32 computations (57.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational.json-simplify-49`
1026×	`rational.json-simplify-47`
840×	`rational.json-simplify-50`
762×	`rational.json-simplify-54`
546×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	99	32
2	292	32
3	996	32
4	4246	32

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify208.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-54`
838×	`exponential.json-simplify-26`
832×	`rational.json-simplify-41`
780×	`rational.json-simplify-111`
736×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	178	2174
1	366	2158
2	779	2158
3	1814	2158
4	4403	2158

Stop Event

1×	node limit

Counts

106 → 91

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	7.3b	(.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 61 to 13 computations (78.7% saved)

series9.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite181.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-simplify-47`
926×	`rational.json-simplify-58`
692×	`rational.json-simplify-55`
596×	`rational.json-1`
596×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	129
1	109	79
2	344	79
3	1260	79
4	5563	79

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational.json-simplify-104`
1474×	`rational.json-simplify-76`
1322×	`rational.json-simplify-55`
1220×	`rational.json-simplify-47`
964×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	180	5007
1	366	4967
2	608	4967
3	3132	4967

Stop Event

1×	node limit

Counts

181 → 88

Calls

Call 1

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 base) (atan2.f64 im re))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	0.5b	(pow.f64 (log.f64 base) 2)
✓	7.3b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))

Compiler

Compiled 94 to 29 computations (69.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite148.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational.json-simplify-47`
826×	`rational.json-simplify-55`
798×	`rational.json-1`
798×	`rational.json-2`
798×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	147	77
2	448	77
3	1676	77
4	7067	77

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify271.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1066×	`rational.json-simplify-111`
848×	`rational.json-simplify-104`
780×	`rational.json-simplify-2`
634×	`rational.json-simplify-79`
630×	`rational.json-simplify-76`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	1441
1	72	1425
2	142	1425
3	385	1425
4	1464	1425
5	3757	1425
6	5855	1425
7	7788	1425

Stop Event

1×	node limit

Counts

45 → 15

Calls

Call 1

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

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.4b	(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	0.5b	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	11.2b	(.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))

Compiler

Compiled 138 to 18 computations (87% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
1.0ms	base	@	-inf	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
1.0ms	re	@	0	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
1.0ms	base	@	0	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
1.0ms	re	@	inf	(.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))

rewrite171.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational.json-simplify-58`
750×	`rational.json-1`
750×	`rational.json-5`
750×	`rational.json-2`
750×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	238
1	129	100
2	425	100
3	1570	100
4	5934	100

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify211.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-2`
1234×	`rational.json-simplify-47`
1068×	`rational.json-simplify-104`
946×	`rational.json-simplify-76`
896×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	4564
1	255	4540
2	441	4540
3	1186	4540
4	3689	4540

Stop Event

1×	node limit

Counts

112 → 50

Calls

Call 1

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

localize155.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	2.4b	(pow.f64 base (atan2.f64 im re))
✓	9.0b	(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))))) (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base))))))
✓	23.5b	(log.f64 (pow.f64 base (atan2.f64 im re)))

Compiler

Compiled 343 to 25 computations (92.7% saved)

series580.0ms (2.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
196.0ms	re	@	inf	(log.f64 (pow.f64 base (atan2.f64 im re)))
170.0ms	im	@	-inf	(log.f64 (pow.f64 base (atan2.f64 im re)))
58.0ms	base	@	0	(log.f64 (pow.f64 base (atan2.f64 im re)))
34.0ms	base	@	-inf	(log.f64 (pow.f64 base (atan2.f64 im re)))
30.0ms	re	@	-inf	(log.f64 (pow.f64 base (atan2.f64 im re)))

rewrite241.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-simplify-55`
894×	`rational.json-1`
894×	`rational.json-2`
894×	`rational.json-3`
892×	`rational.json-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	325
1	184	325
2	581	67
3	2018	67

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

(log.f64 (pow.f64 base (atan2.f64 im re)))

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

(pow.f64 base (atan2.f64 im re))

Outputs

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

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

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

simplify363.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-47`
1124×	`rational.json-simplify-50`
914×	`rational.json-simplify-111`
674×	`rational.json-simplify-2`
622×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	3092
1	155	3044
2	468	3044
3	1338	3044
4	4181	3044
5	7463	3044

Stop Event

1×	node limit

Counts

144 → 58

Calls

Call 1

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

eval1.3s (6.1%)

Compiler: Compiled 61230 to 8789 computations (85.6% saved)

prune337.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1013	12	1025
Fresh	3	3	6
Picked	1	0	1
Done	4	2	6
Total	1021	17	1038

Error

0.0b

Counts

1038 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.6b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) 2) (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2))))
▶	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2)))
▶	0.7b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2)))))
▶	0.6b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 4) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (pow.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) 2) (.f64 (pow.f64 (log.f64 base) 2) (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2)))) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.7b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) 2) (pow.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2)) (pow.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) 2)) (pow.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))) 2))) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	11.9b	(.f64 (/.f64 (pow.f64 (atan2.f64 im re) 4) (pow.f64 (log.f64 base) 4)) (/.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
	7.6b	(.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶	7.6b	(*.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))
	7.6b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))
▶	7.7b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))
	7.6b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
	14.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))))))

Compiler

Compiled 1449 to 571 computations (60.6% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(*.f64 (pow.f64 (log.f64 base) 4) (/.f64 1 (pow.f64 (log.f64 base) 2)))
	0.5b	(pow.f64 (log.f64 base) 2)
✓	0.9b	(pow.f64 (log.f64 base) 4)

Compiler

Compiled 63 to 32 computations (49.2% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite156.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`rational.json-1`
1980×	`rational.json-5`
1980×	`rational.json-2`
1980×	`rational.json-3`
1978×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	96	44
2	270	44
3	954	44
4	3780	44

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

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

Outputs

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

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

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-76`
1002×	`rational.json-simplify-55`
970×	`rational.json-simplify-54`
938×	`rational.json-simplify-79`
744×	`rational.json-simplify-104`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	785
1	88	769
2	200	769
3	634	769
4	2745	769
5	5394	769

Stop Event

1×	node limit

Counts

39 → 28

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.5b	(pow.f64 (log.f64 base) 2)
✓	7.3b	(*.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))

Compiler

Compiled 65 to 27 computations (58.5% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

18 calls:

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

rewrite205.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`rational.json-simplify-47`
724×	`rational.json-simplify-50`
676×	`rational.json-1`
676×	`rational.json-5`
676×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	129	86
2	386	86
3	1424	86
4	5762	86

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify249.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

970×	`rational.json-simplify-47`
928×	`rational.json-simplify-2`
660×	`rational.json-simplify-54`
634×	`rational.json-simplify-41`
602×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	2127
1	140	2103
2	297	2103
3	1239	2103
4	4669	2103
5	7545	2103

Stop Event

1×	node limit

Counts

71 → 37

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 32 computations (57.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`rational.json-simplify-47`
942×	`rational.json-simplify-58`
662×	`rational.json-simplify-55`
518×	`rational.json-1`
518×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	102	28
2	323	28
3	1116	28
4	5083	28

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (log.f64 base)) 2)
(.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))

Outputs

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

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

simplify207.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational.json-simplify-2`
1012×	`rational.json-simplify-111`
766×	`rational.json-simplify-54`
764×	`rational.json-simplify-50`
710×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	1010
1	142	994
2	281	994
3	860	994
4	2850	994
5	7015	994

Stop Event

1×	node limit

Counts

54 → 38

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

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 126 to 58 computations (54% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

base

(*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))

0.0ms

base

-inf

(*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))

0.0ms

base

inf

(*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))

rewrite171.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational.json-simplify-47`
782×	`rational.json-simplify-55`
588×	`rational.json-1`
588×	`rational.json-5`
588×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	119	43
2	378	11
3	1349	11
4	5843	11

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))

Outputs

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

simplify196.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`rational.json-simplify-43`
1014×	`rational.json-simplify-47`
824×	`rational.json-simplify-1`
722×	`exponential.json-simplify-26`
706×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	354
1	56	346
2	107	346
3	286	346
4	920	346
5	2920	346
6	5843	346

Stop Event

1×	node limit

Counts

22 → 13

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

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

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2)
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	0.5b	(pow.f64 (/.f64 1 (log.f64 base)) 2)
✓	7.3b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))

Compiler

Compiled 141 to 52 computations (63.1% saved)

series19.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`rational.json-simplify-55`
960×	`rational.json-1`
960×	`rational.json-2`
960×	`rational.json-3`
958×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	103
1	176	77
2	553	77
3	2019	77

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

Outputs

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

simplify254.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1536×	`rational.json-simplify-79`
1242×	`rational.json-simplify-49`
976×	`rational.json-simplify-76`
958×	`rational.json-simplify-111`
910×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	1210
1	53	1194
2	105	1194
3	264	1194
4	1014	1194
5	2229	1194
6	5410	1194
7	7127	1194

Stop Event

1×	node limit

Counts

42 → 12

Calls

Call 1

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

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

eval809.0ms (3.7%)

Compiler: Compiled 29212 to 12408 computations (57.5% saved)

prune385.0ms (1.8%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	751	11	762
Fresh	4	6	10
Picked	1	0	1
Done	2	4	6
Total	758	21	779

Error

0.0b

Counts

779 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.6b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.7b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 2) (/.f64 1 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2)))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base)))) 2) (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (/.f64 1 (log.f64 base)) 2)))))
	0.9b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (/.f64 1 (.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) 2) (/.f64 1 (pow.f64 (log.f64 base) 2))) (pow.f64 (/.f64 1 (log.f64 base)) 2)))))
	0.8b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 2) (.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) 2) (/.f64 1 (pow.f64 (/.f64 1 (log.f64 base)) 2)))))
	0.7b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (/.f64 1 (log.f64 base)) 2)))
✓	0.6b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 4) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	1.1b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 4) (pow.f64 (/.f64 1 (log.f64 base)) 4)) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	0.9b	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) 4) (/.f64 1 (pow.f64 (log.f64 base) 4))) (/.f64 1 (pow.f64 (log.f64 base) 2))))
	11.9b	(.f64 (/.f64 (pow.f64 (atan2.f64 im re) 4) (pow.f64 (log.f64 base) 4)) (/.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))
	7.6b	(.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	7.6b	(*.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))
	7.8b	(.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) 2) (pow.f64 (/.f64 1 (log.f64 base)) 2))))
	11.5b	(.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))) (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))))
	14.3b	(.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))))) (/.f64 (/.f64 1 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))) (.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2))))))
	7.6b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 base) 2)))
	7.8b	(.f64 (/.f64 1 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (/.f64 1 (log.f64 base)) 2))))
	7.6b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 686 to 402 computations (41.4% saved)

regimes240.0ms (1.1%)

Accuracy

Total -50.3b remaining (-15335.6%)

Threshold costs -50.3b (-15335.6%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	im
38.0ms	(log.f64 base)
38.0ms	re
36.0ms	base
30.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

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

Compiler

Compiled 2089 to 501 computations (76% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
12×	`rational.json-simplify-54`
12×	`rational.json-simplify-55`
6×	`rational.json-simplify-73`
6×	`rational.json-simplify-71`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	33	37
2	43	37
3	49	37
4	61	37
5	61	37

Stop Event

1×

saturated

Compiler

Compiled 91 to 36 computations (60.4% saved)

end27.0ms (0.1%)

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