Details

analyze283.0ms (0.9%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample16.6s (50%)

Results

16.2s	8256×	body	256	valid
417.0ms	2114×	body	256	invalid

Bogosity

preprocess68.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1758×	`rational.json-simplify-19`
1736×	`rational.json-simplify-35`
966×	`rational.json-simplify-40`
780×	`rational.json-simplify-2`
704×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	252
1	105	228
2	184	228
3	442	228
4	2040	228
5	6216	228
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1474×	`rational.json-simplify-46`
1450×	`rational.json-simplify-51`
1188×	`rational.json-simplify-19`
902×	`rational.json-simplify-1`
726×	`rational.json-simplify-35`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	38	57
2	69	57
3	173	57
4	848	57
5	3987	45
6	6824	45

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 102 to 33 computations (67.6% saved)

prune20.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

33.0b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	33.1b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
▶	33.1b	(.f64 1/2 (.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) 1))

Status

Error

Program

▶

33.1b

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

▶

33.1b

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

▶

33.1b

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

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
✓	31.9b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 70 to 17 computations (75.7% saved)

series122.0ms (0.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
95.0ms	base	@	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
15.0ms	base	@	-inf	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))
1.0ms	re	@	0	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
1.0ms	re	@	0	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-simplify-35`
1056×	`rational.json-1`
1056×	`rational.json-2`
1056×	`rational.json-3`
1050×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	80	56
2	191	56
3	556	56
4	2476	56

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify216.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-35`
1254×	`rational.json-simplify-61`
1050×	`rational.json-simplify-43`
706×	`rational.json-simplify-41`
696×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	238	5384
1	535	5368
2	1152	5368
3	3548	5368
4	7354	5368

Stop Event

1×	node limit

Counts

116 → 195

Calls

Call 1

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

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

localize81.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
✓	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
✓	30.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

New

Error

Program

✓

0.3b

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

✓

0.4b

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

✓

30.6b

(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

Compiler

Compiled 69 to 12 computations (82.6% saved)

series34.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	base	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
1.0ms	re	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
1.0ms	im	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
1.0ms	re	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
1.0ms	im	@	inf	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-1`
1498×	`rational.json-2`
1498×	`rational.json-3`
1462×	`rational.json-4`
1460×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	105
1	105	105
2	274	71
3	927	71
4	3503	71

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Inputs

(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

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

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

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

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simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1936×	`rational.json-simplify-35`
1576×	`rational.json-simplify-54`
1366×	`rational.json-simplify-49`
860×	`rational.json-simplify-1`
730×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	6196
1	934	6052
2	2569	6046
3	6220	6046

Stop Event

1×	node limit

Counts

198 → 273

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	30.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 73 to 12 computations (83.6% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite150.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`rational.json-simplify-49`
850×	`rational.json-simplify-61`
816×	`rational.json-simplify-44`
780×	`rational.json-simplify-47`
668×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	109
1	107	109
2	307	109
3	1168	89
4	6654	89

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify215.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational.json-simplify-40`
960×	`rational.json-simplify-38`
822×	`rational.json-simplify-35`
698×	`rational.json-simplify-61`
540×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	12123
1	1274	11177
2	4589	11097

Stop Event

1×	node limit

Counts

215 → 376

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

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

eval727.0ms (2.2%)

Compiler: Compiled 25045 to 12773 computations (49% saved)

prune215.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	891	18	909
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	894	18	912

Error

0.4b

Counts

912 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
	30.5b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	31.2b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	33.1b	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
▶	31.2b	(/.f64 (log.f64 im) (log.f64 base))
	33.1b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
	33.1b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) 2))
	33.1b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
	33.1b	(.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
	33.1b	(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (/.f64 1 (.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
	33.1b	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base))))
▶	33.1b	(.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (.f64 (log.f64 base) (log.f64 base)))))
	30.5b	(*.f64 (log.f64 (neg.f64 re)) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
	31.2b	(*.f64 (log.f64 im) (/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
	33.2b	(.f64 1/2 (log.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1 (log.f64 base)))))
	31.2b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶	30.4b	(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
▶	33.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))

Compiler

Compiled 652 to 414 computations (36.5% saved)

localize67.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 19 computations (36.7% saved)

series75.0ms (0.2%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	re	@	-inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
16.0ms	re	@	0	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
11.0ms	base	@	0	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
7.0ms	re	@	inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-1`
1608×	`rational.json-2`
1608×	`rational.json-3`
1582×	`rational.json-4`
1572×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	72	21
2	186	21
3	437	21
4	1086	21
5	4209	21

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1096×	`rational.json-simplify-54`
1034×	`rational.json-simplify-2`
776×	`rational.json-simplify-39`
750×	`rational.json-simplify-44`
728×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	4172
1	369	4124
2	891	3144
3	3525	3080
4	6147	3080

Stop Event

1×	node limit

Counts

98 → 111

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series46.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
10.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
8.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-3`
1302×	`rational.json-4`
1294×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	53	15
2	134	15
3	331	15
4	852	15
5	3473	15

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational.json-simplify-2`
1018×	`rational.json-simplify-53`
944×	`rational.json-simplify-55`
802×	`rational.json-simplify-44`
768×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1894
1	368	1850
2	882	1806
3	3521	1806
4	7382	1806

Stop Event

1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))
✓	32.0b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base))))

Compiler

Compiled 62 to 26 computations (58.1% saved)

series103.0ms (0.3%)

Counts

3 → 80

Calls

21 calls:

Time	Variable		Point	Expression
53.0ms	base	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))
19.0ms	base	@	-inf	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))
16.0ms	base	@	inf	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))
1.0ms	im	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))
1.0ms	re	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 1/2 (/.f64 1 (log.f64 base)))))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`rational.json-simplify-35`
1060×	`rational.json-1`
1060×	`rational.json-2`
1060×	`rational.json-3`
1056×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	97
1	116	97
2	258	97
3	650	85
4	2498	83

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1/2) (pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1/4) (/.f64 1/2 (log.f64 base))) (pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1/4) (*.f64 (/.f64 1 (log.f64 base)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (/.f64 1/2 (log.f64 base))) (pow.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2) (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 2) (/.f64 1/2 (log.f64 base))) (pow.f64 1/2 (/.f64 1/2 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 4)) (*.f64 2 (*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))))))))

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

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

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-51`
930×	`rational.json-simplify-35`
896×	`rational.json-simplify-2`
868×	`rational.json-simplify-43`
842×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	415	12385
1	1003	12197
2	2117	11979
3	5114	11653

Stop Event

1×	node limit

Counts

141 → 257

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))))) (.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))))) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))) (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (pow.f64 re 4) (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base))))) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (.f64 (pow.f64 re 6) (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))))) (+.f64 (exp.f64 (.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))) (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (pow.f64 re 4) (exp.f64 (*.f64 1/2 (/.f64 (log.f64 (pow.f64 im 2)) (log.f64 base)))))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
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(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 base)))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(*.f64 -1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (log.f64 (/.f64 1 base))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 1/2 (/.f64 (log.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
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(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
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(-.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) 0)
(.f64 1/2 (.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) 2))
(.f64 1 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))))
(.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1)
(.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 1/2 (log.f64 base))))
(.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2))
(.f64 (.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) 2) 1/2)
(.f64 (/.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 2) 2)
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) 1/2) (pow.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 1/2))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) 1/4) (/.f64 1/2 (log.f64 base))) (pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) 1/4) (.f64 (/.f64 1 (log.f64 base)) 3/2)))
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(.f64 (pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2) (/.f64 1/2 (log.f64 base))) (pow.f64 1/2 (/.f64 1/2 (log.f64 base))))
(/.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))) 1)
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(/.f64 (.f64 (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) (/.f64 1/2 (log.f64 base))) 4) 4)
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(fabs.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
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(/.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 1)
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(.f64 1/2 (.f64 (/.f64 1 (log.f64 base)) 2))
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(.f64 (.f64 (/.f64 1 (log.f64 base)) 2) 1/2)
(pow.f64 (/.f64 1 (log.f64 base)) 1)

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

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	im	@	0	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	im	@	inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	base	@	inf	(*.f64 (log.f64 im) (log.f64 base))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`rational.json-1`
1532×	`rational.json-2`
1532×	`rational.json-3`
1484×	`exponential.json-3`
1484×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	71	50
2	218	50
3	805	30
4	4333	30

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-51`
1218×	`rational.json-simplify-53`
798×	`rational.json-simplify-43`
734×	`rational.json-simplify-35`
698×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2588
1	411	2532
2	1148	2520
3	4269	2520

Stop Event

1×	node limit

Counts

130 → 109

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base))))
✓	0.4b	(.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (.f64 (log.f64 base) (log.f64 base)))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	31.9b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 80 to 26 computations (67.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1992×	`rational.json-1`
1992×	`rational.json-2`
1992×	`rational.json-3`
1942×	`exponential.json-3`
1942×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	128	102
2	315	98
3	959	62
4	4686	62

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify196.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-35`
1110×	`rational.json-simplify-51`
1016×	`rational.json-simplify-61`
1014×	`rational.json-simplify-49`
822×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	3744
1	581	3660
2	1554	3660
3	5933	3588

Stop Event

1×	node limit

Counts

88 → 138

Calls

Call 1

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

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

eval744.0ms (2.2%)

Compiler: Compiled 29749 to 17069 computations (42.6% saved)

prune399.0ms (1.2%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	947	24	971
Fresh	8	5	13
Picked	1	0	1
Done	2	2	4
Total	958	31	989

Error

0.3b

Counts

989 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	30.5b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	31.2b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	33.2b	(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (log.f64 base)))) 2)
	33.1b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2))
✓	31.2b	(/.f64 (log.f64 im) (log.f64 base))
	33.1b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
	31.4b	(+.f64 -1 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
	31.2b	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 im) (/.f64 1 (log.f64 base))))
	33.1b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
	31.3b	(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) (/.f64 2 (log.f64 im)))
	31.2b	(.f64 (/.f64 (log.f64 im) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	31.3b	(.f64 (/.f64 (log.f64 base) (.f64 (/.f64 (log.f64 base) (log.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))) (/.f64 1 (log.f64 im)))
▶	31.2b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	30.5b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base)))))
	31.3b	(*.f64 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))) 2)
	33.1b	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base))))
	31.2b	(.f64 (log.f64 im) (.f64 (.f64 (log.f64 base) 4) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))
▶	33.1b	(.f64 1/4 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 2 (/.f64 1 (log.f64 base))))))
	31.2b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
✓	30.4b	(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	30.6b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))))
	30.7b	(neg.f64 (.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 re))) (.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (log.f64 base)))
	30.5b	(neg.f64 (*.f64 (/.f64 4 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) 1/4))
	30.5b	(neg.f64 (*.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 -1 re)))) (/.f64 1 (log.f64 base))))
▶	30.5b	(neg.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (/.f64 -1 re))))
	30.7b	(neg.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1/2 (log.f64 base)))) 2))
	30.5b	(neg.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1 (log.f64 base)))))
	33.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
▶	31.3b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	33.4b	(log.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) 2) (/.f64 1/2 (log.f64 base))) (pow.f64 1/2 (/.f64 1/2 (log.f64 base)))))
	30.6b	(log.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))))

Compiler

Compiled 995 to 727 computations (26.9% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1060×	`rational.json-1`
1060×	`rational.json-2`
1060×	`rational.json-3`
1040×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	92	21
2	210	21
3	445	21
4	1011	21
5	3182	21

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-35`
1320×	`rational.json-simplify-2`
1226×	`rational.json-simplify-61`
1210×	`rational.json-simplify-51`
898×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	195	2314
1	595	2290
2	1592	2290
3	5190	2290

Stop Event

1×	node limit

Counts

94 → 80

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational.json-1`
2006×	`rational.json-2`
2006×	`rational.json-3`
1188×	`rational.json-simplify-35`
766×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	75	15
2	169	15
3	356	15
4	792	15
5	2452	15
6	6756	15

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-35`
1428×	`rational.json-simplify-2`
1130×	`rational.json-simplify-53`
1128×	`rational.json-simplify-51`
974×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1958
1	607	1926
2	1704	1914
3	4816	1914

Stop Event

1×	node limit

Counts

94 → 93

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 14 computations (44% saved)

series73.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	im	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
15.0ms	base	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
15.0ms	im	@	0	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
12.0ms	im	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
8.0ms	base	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-1`
1818×	`rational.json-2`
1818×	`rational.json-3`
1766×	`rational.json-4`
746×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	74	38
2	169	38
3	350	32
4	698	32
5	1861	32
6	5887	32

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify391.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational.json-simplify-35`
1170×	`rational.json-simplify-1`
990×	`rational.json-simplify-43`
986×	`rational.json-simplify-46`
708×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	3247
1	701	3171
2	2040	3171
3	4789	3089
4	6990	3089

Stop Event

1×	node limit

Counts

159 → 134

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))
✓	32.0b	(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base))))

Compiler

Compiled 80 to 35 computations (56.3% saved)

series63.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	base	@	inf	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))
16.0ms	base	@	-inf	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))
15.0ms	base	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))
1.0ms	re	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))
1.0ms	im	@	0	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-simplify-35`
1044×	`rational.json-1`
1044×	`rational.json-2`
1044×	`rational.json-3`
1038×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	115	86
2	251	86
3	633	80
4	2491	80

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify161.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-38`
1064×	`rational.json-simplify-35`
856×	`rational.json-simplify-2`
702×	`rational.json-simplify-41`
700×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	12540
1	1033	12420
2	2151	12210
3	5856	12210

Stop Event

1×	node limit

Counts

128 → 230

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (*.f64 (log.f64 base) (log.f64 base)))
✓	0.3b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base)))))
	0.3b	(.f64 (.f64 (log.f64 base) -1/2) (/.f64 -1 (*.f64 (log.f64 base) (log.f64 base))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 70 to 38 computations (45.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-simplify-35`
1424×	`rational.json-1`
1424×	`rational.json-2`
1424×	`rational.json-3`
1352×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	121	80
2	301	78
3	873	48
4	3500	48

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-38`
1186×	`rational.json-simplify-57`
1166×	`rational.json-simplify-2`
698×	`rational.json-simplify-35`
634×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2326
1	320	2250
2	874	2246
3	3423	2246

Stop Event

1×	node limit

Counts

84 → 73

Calls

Call 1

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

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

eval380.0ms (1.1%)

Compiler: Compiled 22066 to 14202 computations (35.6% saved)

prune244.0ms (0.7%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	782	12	794
Fresh	7	17	24
Picked	1	0	1
Done	1	5	6
Total	791	34	825

Error

0.3b

Counts

825 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 im)))
	30.5b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	31.2b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	33.2b	(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (log.f64 base)))) 2)
▶	33.1b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2))
✓	31.2b	(/.f64 (log.f64 im) (log.f64 base))
	31.3b	(/.f64 (log.f64 base) (.f64 (log.f64 im) (.f64 (log.f64 base) (/.f64 (log.f64 base) (*.f64 (log.f64 im) (log.f64 im))))))
▶	31.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	31.4b	(+.f64 -1 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
	31.2b	(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 im) (/.f64 1 (log.f64 base))))
	33.1b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
▶	31.3b	(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) (/.f64 2 (log.f64 im)))
✓	31.2b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	30.5b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))) (*.f64 (log.f64 base) -1/2))))
	33.5b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (log.f64 (pow.f64 base (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))))
	31.3b	(*.f64 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))) 2)
▶	30.5b	(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
	33.1b	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (/.f64 (/.f64 (/.f64 1/2 (log.f64 base)) (log.f64 base)) (/.f64 1 (log.f64 base))))
	31.2b	(.f64 (log.f64 im) (.f64 (.f64 (log.f64 base) 4) (/.f64 1 (.f64 (log.f64 base) (*.f64 (log.f64 base) 4)))))
	30.5b	(.f64 (log.f64 base) (/.f64 (log.f64 (/.f64 -1 re)) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
✓	33.1b	(.f64 1/4 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 2 (/.f64 1 (log.f64 base))))))
	33.2b	(.f64 1/4 (log.f64 (/.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 (/.f64 1 (log.f64 base)) 4)) (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))))
	30.5b	(neg.f64 (/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 (/.f64 -1 re)))))
	31.2b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
✓	30.4b	(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	30.5b	(neg.f64 (/.f64 1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))
	30.6b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))))
	30.7b	(neg.f64 (.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 re))) (.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (log.f64 base)))
	30.7b	(neg.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1/2 (log.f64 base)))) 2))
	30.5b	(neg.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1 (log.f64 base)))))
	30.5b	(log.f64 (pow.f64 (/.f64 -1 re) (/.f64 -1 (log.f64 base))))
	33.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
✓	31.3b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	31.4b	(log.f64 (*.f64 (pow.f64 (+.f64 im im) (/.f64 1 (log.f64 base))) (pow.f64 1/4 (/.f64 1/2 (log.f64 base)))))

Compiler

Compiled 1075 to 768 computations (28.6% saved)

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2258×	`rational.json-1`
1454×	`rational.json-simplify-35`
950×	`rational.json-2`
950×	`rational.json-3`
936×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	78	38
2	190	36
3	424	36
4	924	36
5	2838	36
6	7625	36

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-2`
1336×	`rational.json-simplify-35`
1208×	`rational.json-simplify-51`
904×	`rational.json-simplify-41`
894×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3704
1	618	3628
2	1614	3352
3	4691	3338

Stop Event

1×	node limit

Counts

136 → 128

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 9 computations (59.1% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`rational.json-1`
1670×	`rational.json-2`
1670×	`rational.json-3`
1636×	`rational.json-4`
1628×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	78	30
2	195	30
3	468	30
4	1256	30
5	4228	30

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational.json-simplify-46`
1018×	`rational.json-simplify-61`
976×	`rational.json-simplify-49`
974×	`rational.json-simplify-44`
912×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	3047
1	521	2953
2	1281	2899
3	6578	2899

Stop Event

1×	node limit

Counts

145 → 141

Calls

Call 1

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

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

localize15.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2))
	31.9b	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-1`
1230×	`rational.json-2`
1230×	`rational.json-3`
1218×	`exponential.json-3`
1218×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	95	39
2	233	39
3	699	39
4	3016	39

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-51`
1076×	`rational.json-simplify-2`
920×	`rational.json-simplify-54`
886×	`rational.json-simplify-35`
810×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	4228
1	405	4152
2	810	4152
3	1586	4074
4	4240	4074
5	7796	4074

Stop Event

1×	node limit

Counts

76 → 157

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`rational.json-simplify-35`
1142×	`rational.json-1`
1142×	`rational.json-2`
1142×	`rational.json-3`
1102×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	74	42
2	188	42
3	509	42
4	1555	42
5	3896	42

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

simplify160.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational.json-simplify-2`
804×	`rational.json-simplify-51`
764×	`rational.json-simplify-49`
642×	`rational.json-simplify-46`
580×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	3616
1	547	3576
2	1376	3570
3	4142	3568
4	6121	3568

Stop Event

1×	node limit

Counts

140 → 131

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (log.f64 im))
	0.3b	(/.f64 (log.f64 base) (log.f64 im))
✓	0.3b	(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) (/.f64 2 (log.f64 im)))
✓	0.3b	(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))

Compiler

Compiled 47 to 15 computations (68.1% saved)

series248.0ms (0.7%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
239.0ms	base	@	0	(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))
1.0ms	im	@	-inf	(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))
1.0ms	im	@	0	(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))
1.0ms	im	@	inf	(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))
1.0ms	base	@	-inf	(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) (/.f64 2 (log.f64 im)))

rewrite534.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-3`
1450×	`rational.json-4`
1446×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	100	85
2	271	83
3	893	75
4	3682	75

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) (/.f64 2 (log.f64 im)))
(/.f64 2 (log.f64 im))

Outputs

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

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

simplify536.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-35`
944×	`rational.json-simplify-44`
926×	`rational.json-simplify-51`
878×	`rational.json-simplify-61`
822×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	7910
1	1603	5074
2	6334	5054

Stop Event

1×	node limit

Counts

234 → 247

Calls

Call 1

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

eval1.6s (4.8%)

Compiler: Compiled 17286 to 9616 computations (44.4% saved)

prune1.9s (5.7%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	973	10	983
Fresh	7	17	24
Picked	1	0	1
Done	1	8	9
Total	982	35	1017

Error

0.3b

Counts

1017 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(/.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 2 (log.f64 im))))
	31.2b	(/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 im)))
	31.3b	(/.f64 (/.f64 1 (log.f64 im)) (/.f64 (log.f64 base) (*.f64 (log.f64 im) (log.f64 im))))
	31.2b	(/.f64 (*.f64 (log.f64 im) (/.f64 (log.f64 im) (log.f64 base))) (log.f64 im))
✓	31.2b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	33.2b	(/.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1 (log.f64 base)))) 2)
	31.2b	(/.f64 (log.f64 (/.f64 1 im)) (neg.f64 (log.f64 base)))
✓	33.1b	(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2))
✓	31.2b	(/.f64 (log.f64 im) (log.f64 base))
✓	31.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	31.3b	(/.f64 1 (+.f64 (-.f64 1 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) -1))
	31.2b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	31.3b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	30.5b	(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
	30.6b	(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
	31.4b	(+.f64 -1 (-.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
	33.1b	(.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1/2 (/.f64 1 (log.f64 base))))
✓	31.2b	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	30.5b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (.f64 (log.f64 base) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))) (*.f64 (log.f64 base) -1/2))))
	33.5b	(.f64 (.f64 -2 (log.f64 (/.f64 -1 re))) (log.f64 (pow.f64 base (/.f64 1/2 (*.f64 (log.f64 base) (log.f64 base))))))
	31.3b	(*.f64 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))) 2)
✓	30.5b	(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
	33.0b	(*.f64 (log.f64 (/.f64 -1 re)) (+.f64 -1 (-.f64 1 (/.f64 1 (log.f64 base)))))
	30.5b	(.f64 (log.f64 base) (/.f64 (log.f64 (/.f64 -1 re)) (.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
	33.2b	(.f64 1/4 (log.f64 (/.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (.f64 (/.f64 1 (log.f64 base)) 4)) (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (*.f64 2 (/.f64 1 (log.f64 base)))))))
	30.5b	(neg.f64 (/.f64 (/.f64 2 (log.f64 base)) (/.f64 2 (log.f64 (/.f64 -1 re)))))
✓	30.4b	(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
	30.6b	(neg.f64 (+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))))
	30.7b	(neg.f64 (.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 re))) (.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (log.f64 base)))
	30.7b	(neg.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1/2 (log.f64 base)))) 2))
	30.5b	(neg.f64 (log.f64 (pow.f64 (/.f64 -1 re) (/.f64 1 (log.f64 base)))))
	30.5b	(log.f64 (pow.f64 (/.f64 -1 re) (/.f64 -1 (log.f64 base))))
	33.3b	(log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 1/2 (log.f64 base))))
✓	31.3b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	31.4b	(log.f64 (*.f64 (pow.f64 (+.f64 im im) (/.f64 1 (log.f64 base))) (pow.f64 1/4 (/.f64 1/2 (log.f64 base)))))

Compiler

Compiled 548 to 408 computations (25.5% saved)

regimes944.0ms (2.8%)

Counts

68 → 3

Calls

Call 1

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

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

Calls

5 calls:

490.0ms	(log.f64 base)
234.0ms	base
77.0ms	im
72.0ms	re
50.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
8.0b	3	`re`
6.9b	3	`im`
21.7b	8	`base`
15.0b	3	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 1018 to 454 computations (55.4% saved)

bsearch50.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.985062251548544e+102	6.412286637665979e+103
31.0ms	3.257038218712234e-166	4.690948171360571e-151

Results

46.0ms

256×

body

256

valid

Compiler

Compiled 507 to 383 computations (24.5% saved)

regimes245.0ms (0.7%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

4 calls:

87.0ms	(log.f64 base)
87.0ms	base
34.0ms	re
30.0ms	im

Results

Error	Segments	Branch
8.0b	3	`re`
6.9b	3	`im`
21.7b	8	`base`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 273 to 170 computations (37.7% saved)

bsearch49.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.985062251548544e+102	6.412286637665979e+103
31.0ms	3.257038218712234e-166	4.690948171360571e-151

Results

45.0ms

256×

body

256

valid

Compiler

Compiled 495 to 371 computations (25.1% saved)

regimes470.0ms (1.4%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

184.0ms	(log.f64 base)
144.0ms	base
105.0ms	re
30.0ms	im

Results

Error	Segments	Branch
8.0b	3	`re`
6.9b	3	`im`
21.7b	8	`base`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 257 to 160 computations (37.7% saved)

bsearch64.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	5.983229442404478e+91	4.985062251548544e+102
32.0ms	3.257038218712234e-166	4.690948171360571e-151

Results

60.0ms

320×

body

256

valid

Compiler

Compiled 587 to 435 computations (25.9% saved)

regimes428.0ms (1.3%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

191.0ms	(log.f64 base)
179.0ms	base
27.0ms	re
26.0ms	im

Results

Error	Segments	Branch
8.1b	3	`re`
6.9b	3	`im`
21.7b	8	`base`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 215 to 141 computations (34.4% saved)

bsearch98.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	5.983229442404478e+91	4.985062251548544e+102
21.0ms	7.9077129309096e-150	6.371046309918949e-148

Results

94.0ms

272×

body

256

valid

Compiler

Compiled 500 to 369 computations (26.2% saved)

regimes301.0ms (0.9%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

4 calls:

144.0ms	(log.f64 base)
76.0ms	base
44.0ms	im
33.0ms	re

Results

Error	Segments	Branch
9.2b	4	`re`
9.0b	4	`im`
21.7b	8	`base`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 202 to 134 computations (33.7% saved)

bsearch80.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	2.4805986986793695e-103	1.5745720400803436e-94
30.0ms	3.991236593193906e-136	6.555615572355147e-126
22.0ms	7.9077129309096e-150	6.371046309918949e-148

Results

75.0ms

416×

body

256

valid

Compiler

Compiled 610 to 494 computations (19% saved)

regimes96.0ms (0.3%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(log.f64 base)
31.0ms	base
20.0ms	im
13.0ms	re

Results

Error	Segments	Branch
9.3b	4	`re`
9.0b	4	`im`
21.7b	8	`base`
21.7b	8	`(log.f64 base)`

Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch85.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	2.4805986986793695e-103	1.5745720400803436e-94
30.0ms	3.991236593193906e-136	6.555615572355147e-126
21.0ms	7.9077129309096e-150	6.371046309918949e-148

Results

79.0ms

416×

body

256

valid

Compiler

Compiled 583 to 467 computations (19.9% saved)

regimes15.0ms (0%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
31.2b	1	`re`
31.2b	1	`im`
31.2b	1	`base`
31.2b	1	`(log.f64 base)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	645

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 im 7699296465697155/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 30000000000000000057470252572040062086478653817955760334584105437981379726119662678837084353245409705984) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 2)) (.f64 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))) 2)))
(if (<=.f64 im 7597989933253771/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 14000000000000000424678040328114676031329170299169360236504169842269484491227024097984903641541224955904) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 7091457271036853/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 30500000000000001728279870056491859217852393941441826496094046904493536931236817911406328283136) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 im 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 149999999999999995622138157885155541177871407926127558561387509830204502224439269897364377174016) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 im 3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 352281387416075/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))))
(if (<=.f64 im 3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 2912192802639553/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(if (<=.f64 im 7699296465697155/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 30000000000000000057470252572040062086478653817955760334584105437981379726119662678837084353245409705984) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (log.f64 base) 2)) (.f64 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))) 2)))
(if (<=.f64 im 7597989933253771/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 14000000000000000424678040328114676031329170299169360236504169842269484491227024097984903641541224955904) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(if (<=.f64 im 7091457271036853/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 30500000000000001728279870056491859217852393941441826496094046904493536931236817911406328283136) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (*.f64 (log.f64 base) 2)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 im 691033158841835/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 149999999999999995622138157885155541177871407926127558561387509830204502224439269897364377174016) (.f64 (/.f64 1/2 (log.f64 base)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 im 3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 352281387416075/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))))
(if (<=.f64 im 3599131035634557/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (if (<=.f64 im 5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 2912192802639553/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 247 to 163 computations (34% saved)

soundness732.0ms (2.2%)

Algorithm

5×	egg-herbie

Rules

1936×	`rational.json-simplify-35`
1578×	`rational.json-simplify-40`
1576×	`rational.json-simplify-54`
1474×	`rational.json-simplify-46`
1474×	`rational.json-simplify-46`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	38	57
2	69	57
3	173	57
4	848	57
5	3987	45
6	6824	45
0	392	6196
1	934	6052
2	2569	6046
3	6220	6046
0	21	63
1	38	57
2	69	57
3	173	57
4	848	57
5	3987	45
6	6824	45
0	444	12123
1	1274	11177
2	4589	11097
0	21	63
1	38	57
2	69	57
3	173	57
4	848	57
5	3987	45
6	6824	45

Stop Event

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

Compiler

Compiled 523 to 170 computations (67.5% saved)

end164.0ms (0.5%)

Compiler: Compiled 311 to 175 computations (43.7% saved)