Metrics for math.log/2 on complex, real part

analyze396.0ms (3.3%)

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%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.4s (20.1%)

Results

2.4s

8256×

body

256

valid

Bogosity

preprocess208.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1716×	`div-sub`
1306×	`fma-def`
1238×	`times-frac`
934×	`distribute-lft-in`
910×	`distribute-rgt-in`

Problems

153×	No Errors
102×	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1×	`(*.f64 (log.f64 base) (log.f64 base))`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	181	652
2	289	652
3	517	404
4	1028	350
5	1930	350
6	7705	350

Stop Event

1×	node limit

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 154 to 54 computations (64.9% saved)

eval1.0ms (0%)

Compiler: Compiled 59 to 17 computations (71.2% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.2%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize64.0ms (0.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 60 to 11 computations (81.7% saved)

series87.0ms (0.7%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
49.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite231.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`log-prod`
947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
334×	`expm1-udef`
334×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	216	104
2	2908	104

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (/.f64 1 (log.f64 base)) 1))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (/.f64 1 (log.f64 base)) 1))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) 1)
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))

simplify179.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-lft-in`
748×	`distribute-rgt-in`
624×	`associate-+r+`
536×	`associate-+l+`
500×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	16419
1	1010	13724
2	3448	13385

Stop Event

1×	node limit

Counts

273 → 268

Calls

Call 1

Inputs
(/.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 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.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 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
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(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (/.f64 1 (log.f64 base)) 1))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (log.f64 base) -2))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) -2)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) 1)
(pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))

Outputs
(/.f64 (log.f64 im) (log.f64 base))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

eval93.0ms (0.8%)

Compiler: Compiled 6552 to 3351 computations (48.9% saved)

prune136.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	253	15	268
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	254	16	270

Accuracy

100.0%

Counts

270 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	51.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	97.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.1%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.1%	(/.f64 (log.f64 im) (log.f64 base))
	76.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
▶	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶	98.2%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	99.0%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
▶	99.3%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	51.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	97.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.1%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.1%	(/.f64 (log.f64 im) (log.f64 base))
	76.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
▶	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶	98.2%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
	99.0%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 800 to 594 computations (25.8% saved)

localize131.0ms (1.1%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	99.6%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
✓	99.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.6%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.7%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	99.6%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.6%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 144 to 26 computations (81.9% saved)

series142.0ms (1.2%)

Counts

9 → 276

Calls

72 calls:

Time	Variable		Point	Expression
34.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
18.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
4.0ms	im	@	inf	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

rewrite255.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`log-prod`
775×	`log1p-expm1-u`
774×	`expm1-log1p-u`
446×	`expm1-udef`
446×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	253
1	347	253
2	3469	253

Stop Event

1×	node limit

Counts

9 → 402

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

Outputs
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1/2)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (/.f64 1 (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)
(*.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))

simplify397.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1388×	`times-frac`
806×	`*-commutative`
782×	`distribute-lft-in`
496×	`+-commutative`
396×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1350	56296
1	4056	50119

Stop Event

1×	node limit

Counts

678 → 672

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.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 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -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 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(*.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 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 re 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 re 2) (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 3))))) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))))) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(/.f64 (log.f64 base) (log.f64 re))
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(.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4))
(*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 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 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (pow.f64 re 2) (log.f64 base))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (pow.f64 re 2) (log.f64 base))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))))) (/.f64 (neg.f64 (log.f64 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 (neg.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 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (/.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 (pow.f64 re 2) (log.f64 base))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (.f64 1/2 (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
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(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1/2))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1/2))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 im re))) -1/2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))))
(*.f64 (pow.f64 1 -1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) 2) -1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/4))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 im re)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.f64 1 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -1/2)
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/2)
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3/2))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) 2)
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

eval1.0s (8.9%)

Compiler: Compiled 41669 to 24741 computations (40.6% saved)

prune394.0ms (3.3%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1236	16	1252
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	1244	24	1268

Accuracy

100.0%

Counts

1268 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	96.5%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.1%	(/.f64 (log.f64 im) (log.f64 base))
	97.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	75.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	97.4%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
	75.4%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	97.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.4%	(log1p.f64 (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	97.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶	75.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.9%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	99.0%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
▶	97.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
	50.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	96.5%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.1%	(/.f64 (log.f64 im) (log.f64 base))
	97.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	75.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	97.4%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
	75.4%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	97.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.4%	(log1p.f64 (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	97.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶	75.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.9%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	99.0%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
▶	97.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1072 to 836 computations (22% saved)

localize284.0ms (2.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
✓	99.3%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
✓	99.1%	(pow.f64 (log.f64 im) 3)
✓	99.0%	(pow.f64 (log.f64 base) 3)
	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
✓	99.2%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	99.6%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	99.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.7%	(/.f64 1 (log.f64 (hypot.f64 re im)))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))

Compiler

Compiled 144 to 53 computations (63.2% saved)

series533.0ms (4.5%)

Counts

11 → 260

Calls

69 calls:

Time	Variable		Point	Expression
165.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
130.0ms	base	@	-inf	(pow.f64 (log.f64 base) 3)
87.0ms	im	@	-inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
22.0ms	base	@	inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
21.0ms	base	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

rewrite202.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`prod-diff`
826×	`log1p-expm1-u`
550×	`expm1-udef`
550×	`log1p-udef`
250×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	288
1	425	258
2	4840	258

Stop Event

1×	node limit

Counts

11 → 395

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 im) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))

Outputs
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 (hypot.f64 re im)))))
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(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) 1) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 1 (log.f64 base))) (log.f64 im))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 2)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) -1)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 6) (pow.f64 (log.f64 base) 6)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))

simplify452.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1410×	`times-frac`
1372×	`fma-def`
588×	`*-commutative`
460×	`distribute-lft-in`
456×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1077	36409
1	2963	32596

Stop Event

1×	node limit

Counts

655 → 578

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(/.f64 (log.f64 re) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
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(/.f64 1 (log.f64 im))
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(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (+.f64 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (/.f64 1 (log.f64 im))))
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(/.f64 -1 (log.f64 (/.f64 1 re)))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (/.f64 1 (log.f64 (/.f64 1 re))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) (/.f64 1 (log.f64 (/.f64 1 re))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3))))) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))) (/.f64 1 (log.f64 (/.f64 1 re))))
(/.f64 -1 (log.f64 (/.f64 -1 re)))
(-.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (/.f64 1 (log.f64 (/.f64 -1 re))))
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(/.f64 1 (log.f64 re))
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(/.f64 -1 (log.f64 (/.f64 1 im)))
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(.f64 (pow.f64 (log.f64 im) 3/2) (.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) -3)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) (sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) 3)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 3))))
(*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) 1) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 1 (log.f64 base))) (log.f64 im))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 2)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) -1)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 6) (pow.f64 (log.f64 base) 6)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 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 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (*.f64 (/.f64 1/2 (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.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 (pow.f64 re 2) (log.f64 base))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 base) (pow.f64 re 6))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))) (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6)))))) (/.f64 (neg.f64 (log.f64 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 (neg.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 (pow.f64 re 2) (log.f64 base)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))))
(-.f64 (*.f64 (/.f64 1/2 (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.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 (pow.f64 re 2) (log.f64 base))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (.f64 (/.f64 1/2 (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 base) (pow.f64 re 6))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))) (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 base)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 re 6) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 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 (pow.f64 im 2) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (pow.f64 im 6) (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)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 base) (pow.f64 im 6))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base)))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))) (.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (/.f64 120 (pow.f64 im 6)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.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 (pow.f64 im 2) (log.f64 base)))))
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(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)) (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3/2)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3/2)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 2) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) 1) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)) (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 2)) (/.f64 (pow.f64 (log.f64 im) 3/2) (log.f64 base)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 1 (log.f64 base))) (log.f64 im))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))
(.f64 (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3) 1/3)
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 2)
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) -1)
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 6) (pow.f64 (log.f64 base) 6)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 im) 3) 3) (pow.f64 (pow.f64 (log.f64 base) 3) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)

eval705.0ms (6%)

Compiler: Compiled 22236 to 13548 computations (39.1% saved)

prune222.0ms (1.9%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	938	8	946
Fresh	5	11	16
Picked	1	4	5
Done	0	3	3
Total	944	26	970

Accuracy

100.0%

Counts

970 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	96.5%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	98.1%	(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
	97.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.1%	(/.f64 (log.f64 im) (log.f64 base))
▶	97.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	97.5%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
▶	75.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	52.6%	(*.f64 (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3) (log.f64 im))
	53.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
	96.2%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 im))
✓	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	97.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	97.5%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	97.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	97.6%	(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	75.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.9%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	97.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	97.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
	50.8%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	96.5%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	98.1%	(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
	97.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	97.9%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.1%	(/.f64 (log.f64 im) (log.f64 base))
▶	97.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	97.5%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
▶	75.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	52.6%	(*.f64 (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3) (log.f64 im))
	53.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
	96.2%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 im))
✓	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	97.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	97.5%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
	98.0%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	97.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	97.6%	(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	75.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.9%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	97.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	97.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 1050 to 840 computations (20% saved)

localize187.0ms (1.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.7%	(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.6%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.1%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	99.1%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(pow.f64 im (/.f64 1 (log.f64 base)))
✓	99.2%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 base) (log.f64 im))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
✓	99.4%	(cbrt.f64 (log.f64 (hypot.f64 re im)))
✓	99.2%	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)

Compiler

Compiled 159 to 52 computations (67.3% saved)

series413.0ms (3.5%)

Counts

11 → 268

Calls

69 calls:

Time	Variable		Point	Expression
135.0ms	re	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)
78.0ms	im	@	-inf	(/.f64 (log.f64 base) (log.f64 im))
34.0ms	im	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
31.0ms	base	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
19.0ms	im	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

rewrite258.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`prod-diff`
618×	`log1p-udef`
616×	`expm1-udef`
378×	`log1p-expm1-u`
252×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	290
1	471	256
2	5376	256

Stop Event

1×	node limit

Counts

11 → 535

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(pow.f64 im (/.f64 1 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2)) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2) (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2)) 3) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) 1) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1/2))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(/.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) 1))
(/.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
(/.f64 -1 (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) 1) (cbrt.f64 (log.f64 (hypot.f64 re im))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) (-.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))

simplify439.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

950×	`*-commutative`
766×	`distribute-rgt-in`
746×	`distribute-lft-in`
558×	`sqr-pow`
474×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1514	49797
1	4569	47395

Stop Event

1×	node limit

Counts

803 → 640

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im))) (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))))) (.f64 (pow.f64 re 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (.f64 (pow.f64 (/.f64 1 (log.f64 im)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 8)) 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (log.f64 im)) 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))))))))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))))) (+.f64 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (.f64 (pow.f64 (/.f64 1 (log.f64 im)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 8)) 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (log.f64 im)) 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))))))) (.f64 (pow.f64 re 6) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 4)) 1/3) (/.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 8)) 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (log.f64 im)) 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))) (pow.f64 im 2)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 4)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im)))))))))) (.f64 (pow.f64 (/.f64 1 (log.f64 im)) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 2)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (pow.f64 im 2)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (log.f64 im)) 1/3) (-.f64 (.f64 1/216 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 4)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 3)))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (*.f64 (pow.f64 im 2) (log.f64 im)))))))))))))))))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 re)))))
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(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 im 2) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 im)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1) (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) (-.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im)))
(/.f64 1 (log.f64 im))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im))) (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))))))
(+.f64 (/.f64 1 (log.f64 im)) (.f64 (pow.f64 re 2) (.f64 (/.f64 (/.f64 1 (pow.f64 im 2)) (pow.f64 (log.f64 im) 2)) -1/2)))
(+.f64 (/.f64 1 (log.f64 im)) (.f64 (pow.f64 re 2) (.f64 (/.f64 1 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))) -1/2)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 im))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))))) (.f64 (pow.f64 re 4) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (.f64 (pow.f64 (/.f64 1 (log.f64 im)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 8)) 1/3) (/.f64 1 (pow.f64 im 4)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (log.f64 im)) 1/3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 1/12 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))))))))))
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(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))

eval1.3s (10.8%)

Compiler: Compiled 33104 to 22463 computations (32.1% saved)

prune247.0ms (2.1%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	1012	6	1018
Fresh	8	6	14
Picked	1	4	5
Done	0	7	7
Total	1021	23	1044

Accuracy

100.0%

Counts

1044 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
✓	98.1%	(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
	97.9%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.1%	(/.f64 (log.f64 im) (log.f64 base))
✓	97.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	97.8%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	95.7%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
	97.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	97.1%	(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
	97.5%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
✓	75.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	96.2%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 im))
✓	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	97.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	97.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	97.6%	(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
	76.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	75.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
✓	97.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 743 to 424 computations (42.9% saved)

regimes128.0ms (1.1%)

Counts

48 → 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)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log1p.f64 (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3) (log.f64 im))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 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)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3))

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

Calls

5 calls:

26.0ms	base
25.0ms	im
24.0ms	re
24.0ms	(log.f64 base)
18.0ms	(/.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

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(/.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)))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 524 to 241 computations (54% saved)

regimes141.0ms (1.2%)

Accuracy

Total -1.0b remaining (-77%)

Threshold costs -1b (-77%)

Counts

10 → 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)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

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

Calls

4 calls:

76.0ms	(log.f64 base)
7.0ms	re
7.0ms	base
7.0ms	im

Results

Accuracy	Segments	Branch
98.1%	1	`re`
98.1%	1	`im`
98.1%	1	`base`
98.1%	1	`(log.f64 base)`

Compiler

Compiled 104 to 61 computations (41.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness154.0ms (1.3%)

Rules

1716×	`div-sub`
1306×	`fma-def`
1238×	`times-frac`
934×	`distribute-lft-in`
910×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	181	652
2	289	652
3	517	404
4	1028	350
5	1930	350
6	7705	350

Stop Event

1×	node limit

Compiler

Compiled 188 to 50 computations (73.4% saved)

end0.0ms (0%)

preprocess47.0ms (0.4%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 184 computations (32.4% saved)

analyze396.0ms (3.3%)

sample2.4s (20.1%)

preprocess208.0ms (1.8%)

eval1.0ms (0%)

prune3.0ms (0%)

localize64.0ms (0.5%)

series87.0ms (0.7%)

rewrite231.0ms (1.9%)

simplify179.0ms (1.5%)

eval93.0ms (0.8%)

prune136.0ms (1.1%)

localize131.0ms (1.1%)

series142.0ms (1.2%)

rewrite255.0ms (2.2%)

simplify397.0ms (3.4%)

eval1.0s (8.9%)

prune394.0ms (3.3%)

localize284.0ms (2.4%)

series533.0ms (4.5%)

rewrite202.0ms (1.7%)

simplify452.0ms (3.8%)

eval705.0ms (6%)

prune222.0ms (1.9%)

localize187.0ms (1.6%)

series413.0ms (3.5%)

rewrite258.0ms (2.2%)

simplify439.0ms (3.7%)

eval1.3s (10.8%)

prune247.0ms (2.1%)

regimes128.0ms (1.1%)

regimes141.0ms (1.2%)

simplify2.0ms (0%)

soundness154.0ms (1.3%)

end0.0ms (0%)

preprocess47.0ms (0.4%)

Profiling