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

analyze205.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	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 (21.7%)

Results

2.3s

8256×

body

256

valid

Bogosity

preprocess315.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Problems

137×	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
117×	No Errors
2×	`(*.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)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.3%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize80.0ms (0.7%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 11 computations (81.7% saved)

series371.0ms (3.4%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
51.0ms	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))
10.0ms	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))

rewrite236.0ms (2.2%)

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

simplify175.0ms (1.6%)

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 (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))
(+.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))))

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

eval102.0ms (0.9%)

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

prune95.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	249	19	268
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	250	20	270

Accuracy

100.0%

Counts

270 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
▶	99.5%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	99.2%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
	97.3%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
▶	98.1%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.3%	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.3%	(/.f64 (log.f64 im) (log.f64 base))
	98.2%	(+.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))))))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	73.8%	(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
	99.3%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
	99.3%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	97.3%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.7%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	74.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶	48.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
▶	99.5%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	99.2%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
	97.3%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
▶	98.1%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.3%	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.3%	(/.f64 (log.f64 im) (log.f64 base))
	98.2%	(+.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))))))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	73.8%	(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
	99.3%	(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
	99.3%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	97.3%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.7%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	74.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 1132 to 798 computations (29.5% saved)

localize181.0ms (1.7%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
✓	99.7%	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
✓	99.6%	(pow.f64 (log.f64 base) 2)
✓	99.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
✓	99.7%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.7%	(*.f64 (log.f64 im) (log.f64 base))
	99.6%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.8%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	99.8%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 161 to 43 computations (73.3% saved)

series193.0ms (1.8%)

Counts

10 → 288

Calls

75 calls:

Time	Variable		Point	Expression
36.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
14.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
11.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	base	@	0	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
7.0ms	im	@	inf	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)

rewrite203.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`prod-diff`
514×	`expm1-udef`
356×	`times-frac`
312×	`associate-r`
222×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	273
1	500	269
2	7083	269

Stop Event

1×	node limit

Counts

10 → 510

Calls

Call 1

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

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

simplify525.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1370×	`*-commutative`
748×	`associate-*r/`
678×	`+-commutative`
652×	`fma-def`
432×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1899	74705
1	6435	69771

Stop Event

1×	node limit

Counts

798 → 865

Calls

Call 1

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

Outputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 im re)))
(/.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 im re)))
(/.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 im re)))
(/.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 im re)))
(/.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) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 im re)))
(/.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)))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (log.f64 base) (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))))
(fma.f64 -1 (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (log.f64 im))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (log.f64 im))) (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))
(+.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)))))
(fma.f64 -1 (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (fma.f64 -1 (.f64 (pow.f64 re 6) (fma.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im))) (fma.f64 1/8 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 3)) (/.f64 (.f64 1/6 (log.f64 base)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (log.f64 im))) (.f64 (pow.f64 re 6) (fma.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (pow.f64 im 2) (log.f64 im))) (fma.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2)))))))) (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 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)))))
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (.f64 -1/2 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2)) (pow.f64 (neg.f64 (log.f64 re)) 2))))
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(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(-.f64 (/.f64 0 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) 1)
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 (hypot.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2)
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 im re)))) 2)
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))))
(neg.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2))
(neg.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 im re)))) 2))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 (hypot.f64 im re))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (hypot.f64 im re))))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 (hypot.f64 im re)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (hypot.f64 im re)))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))
(/.f64 (*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2)) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 (hypot.f64 re im))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 im re)))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(*.f64 (neg.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(neg.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2))
(neg.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 im re)))) 2))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) 1)
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 3)
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) 3) 1/3)
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2)
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 im re)))) 2)
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) -1)
(/.f64 1 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(/.f64 1 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) -2)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 (hypot.f64 im re)) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) 3))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) 1))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re)))

eval802.0ms (7.4%)

Compiler: Compiled 48871 to 30510 computations (37.6% saved)

prune230.0ms (2.1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1015	18	1033
Fresh	11	3	14
Picked	4	1	5
Done	0	1	1
Total	1030	23	1053

Accuracy

100.0%

Counts

1053 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	98.0%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) -1)
	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
	47.7%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	48.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	98.8%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	96.7%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	48.1%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.1%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	98.0%	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.3%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	98.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.0%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	73.8%	(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
▶	98.1%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.7%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	97.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	47.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	98.0%	(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) -1)
	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
	47.7%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	48.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	98.8%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
	96.7%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	48.1%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.1%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	98.0%	(/.f64 (neg.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.3%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	98.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.0%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	73.8%	(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
▶	98.1%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.7%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	97.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 1088 to 818 computations (24.8% saved)

localize144.0ms (1.3%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 base))
✓	99.7%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
✓	99.7%	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
✓	99.8%	(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
✓	99.7%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
✓	99.6%	(pow.f64 (log.f64 base) -2)
	99.8%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	99.4%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	99.7%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 131 to 38 computations (71% saved)

series23.0ms (0.2%)

Counts

11 → 232

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
1.0ms	im	@	0	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
1.0ms	base	@	-inf	(pow.f64 (log.f64 base) -2)
1.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
1.0ms	base	@	-inf	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)

rewrite207.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log1p-expm1-u`
592×	`expm1-udef`
592×	`log1p-udef`
300×	`associate-r`
270×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	258
1	443	252
2	5100	252

Stop Event

1×	node limit

Counts

11 → 398

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (log.f64 base) -2)
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))

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

simplify175.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1416×	`times-frac`
1028×	`associate-r`
872×	`associate-l`
780×	`associate-/l*`
682×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	755	21470
1	1753	20160

Stop Event

1×	node limit

Counts

630 → 468

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

eval311.0ms (2.9%)

Compiler: Compiled 14796 to 7646 computations (48.3% saved)

prune168.0ms (1.5%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	730	8	738
Fresh	9	7	16
Picked	1	4	5
Done	0	2	2
Total	740	21	761

Accuracy

100.0%

Counts

761 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	47.7%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.3%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	98.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
▶	48.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
	98.0%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	49.1%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
	90.1%	(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
✓	98.1%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	97.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))
	97.6%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	97.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	47.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	47.7%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.3%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	98.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
▶	48.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
	98.0%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶	49.1%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
	90.1%	(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
✓	98.1%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	97.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))
	97.6%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	97.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 848 to 664 computations (21.7% saved)

localize285.0ms (2.6%)

Localize:

Found 14 expressions with local error:

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

Compiler

Compiled 137 to 49 computations (64.2% saved)

series193.0ms (1.8%)

Counts

12 → 268

Calls

69 calls:

Time	Variable		Point	Expression
59.0ms	im	@	-inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
18.0ms	base	@	inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
16.0ms	base	@	-inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
16.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
15.0ms	base	@	-inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)

rewrite204.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`log1p-expm1-u`
902×	`prod-diff`
550×	`expm1-udef`
550×	`log1p-udef`
250×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	261
1	438	255
2	4660	255

Stop Event

1×	node limit

Counts

12 → 401

Calls

Call 1

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

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

simplify377.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`fma-def`
1068×	`associate-r`
988×	`times-frac`
924×	`associate-l`
468×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	975	29250
1	2618	27590

Stop Event

1×	node limit

Counts

669 → 526

Calls

Call 1

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

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

eval536.0ms (4.9%)

Compiler: Compiled 15292 to 9334 computations (39% saved)

prune163.0ms (1.5%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	629	6	635
Fresh	4	6	10
Picked	2	3	5
Done	0	6	6
Total	635	21	656

Accuracy

100.0%

Counts

656 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.3%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	98.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.1%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	96.4%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
	97.7%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	97.8%	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
✓	48.2%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
✓	98.1%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	49.1%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
	90.1%	(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
✓	98.1%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	97.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))
	97.6%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	98.3%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	96.1%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	97.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓	97.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 816 to 436 computations (46.6% saved)

regimes117.0ms (1.1%)

Counts

54 → 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 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(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 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(expm1.f64 (log1p.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 im) (log.f64 base)) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
(*.f64 (sqrt.f64 (pow.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))))
(*.f64 (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
(/.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)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
(.f64 (log.f64 base) (.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(.f64 (log.f64 (hypot.f64 re im)) (.f64 (log.f64 base) (pow.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 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 im re))))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) -1)
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) 4)))
(/.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)) (expm1.f64 (log1p.f64 (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 (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))))))

Outputs
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))

Calls

5 calls:

23.0ms	(log.f64 base)
23.0ms	re
22.0ms	base
22.0ms	im
15.0ms	(/.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
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	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)))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 620 to 275 computations (55.6% saved)

regimes30.0ms (0.3%)

Counts

11 → 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 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(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)))))

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

Calls

4 calls:

7.0ms	(log.f64 base)
7.0ms	im
6.0ms	base
6.0ms	re

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 107 to 61 computations (43% saved)

regimes23.0ms (0.2%)

Counts

8 → 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 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))

Calls

4 calls:

6.0ms	im
5.0ms	(log.f64 base)
5.0ms	re
5.0ms	base

Results

Accuracy	Segments	Branch
98.3%	1	`re`
98.3%	1	`im`
98.3%	1	`base`
98.3%	1	`(log.f64 base)`

Compiler

Compiled 82 to 49 computations (40.2% saved)

regimes18.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	im
4.0ms	(log.f64 base)
3.0ms	re
3.0ms	base

Results

Accuracy	Segments	Branch
98.3%	1	`re`
98.3%	1	`base`
98.3%	1	`(log.f64 base)`
98.3%	1	`im`

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.2b remaining (-15.7%)

Threshold costs -0.2b (-15.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`re`
98.3%	1	`base`
98.3%	1	`(log.f64 base)`
98.3%	1	`im`

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	145
1	33	145
2	36	145
3	39	145
4	42	145
5	43	145

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 51 to 39 computations (23.5% saved)

soundness1.7s (15.8%)

Rules

1716×	`div-sub`
1370×	`*-commutative`
1306×	`fma-def`
1238×	`times-frac`
1090×	`log-prod`

Iterations

Useful iterations: 0 (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
0	17	104
1	216	104
2	2908	104
0	34	273
1	500	269
2	7083	269
0	34	273
1	500	269
2	7083	269
0	1899	74705
1	6435	69771

Stop Event

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

Compiler

Compiled 276 to 94 computations (65.9% saved)

end0.0ms (0%)

preprocess84.0ms (0.8%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 572 to 404 computations (29.4% saved)

analyze205.0ms (1.9%)

sample2.4s (21.7%)

preprocess315.0ms (2.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize80.0ms (0.7%)

series371.0ms (3.4%)

rewrite236.0ms (2.2%)

simplify175.0ms (1.6%)

eval102.0ms (0.9%)

prune95.0ms (0.9%)

localize181.0ms (1.7%)

series193.0ms (1.8%)

rewrite203.0ms (1.9%)

simplify525.0ms (4.8%)

eval802.0ms (7.4%)

prune230.0ms (2.1%)

localize144.0ms (1.3%)

series23.0ms (0.2%)

rewrite207.0ms (1.9%)

simplify175.0ms (1.6%)

eval311.0ms (2.9%)

prune168.0ms (1.5%)

localize285.0ms (2.6%)

series193.0ms (1.8%)

rewrite204.0ms (1.9%)

simplify377.0ms (3.5%)

eval536.0ms (4.9%)

prune163.0ms (1.5%)

regimes117.0ms (1.1%)

regimes30.0ms (0.3%)

regimes23.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.7s (15.8%)

end0.0ms (0%)

preprocess84.0ms (0.8%)

Profiling