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

analyze169.0ms (1.7%)

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)

sample1.9s (19.5%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess223.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2484×	`fma-def`
1510×	`cube-prod`
674×	`distribute-lft-out`
588×	`distribute-lft-in`
556×	`distribute-rgt-in`

Problems

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	476
1	165	460
2	245	460
3	398	292
4	665	244
5	1005	244
6	3418	244
7	3642	244
8	3763	244
9	3929	244
10	4129	244
11	4480	244
12	6759	244
13	7769	244

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)))
(/.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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.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 (/.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 (log.f64 (neg.f64 base)) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.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 (/.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 (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 18 computations (69.5% 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)

localize126.0ms (1.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.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)

series75.0ms (0.8%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
42.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
15.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	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))
1.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite139.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`log-prod`
950×	`log1p-expm1-u`
950×	`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	2903	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 (.f64 (log.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 (.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 (log.f64 base) -2)))
(*.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 (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))) (.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.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 (.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) (.f64 (log.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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.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 (*.f64 (log.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 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(+.f64 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(+.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (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 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 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 (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 (*.f64 (log.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 (*.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 (-.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 (.f64 (log.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 (.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 (log.f64 base) -2)))
(*.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 (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))) (.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) -2)))
(*.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 (.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) (.f64 (log.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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (log.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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.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 (*.f64 (log.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 (*.f64 (log.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))))

simplify142.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

808×	`distribute-lft-in`
772×	`distribute-rgt-in`
626×	`associate-+r+`
538×	`associate-+l+`
536×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	16463
1	1013	13808
2	3486	13469

Stop Event

1×	node limit

Counts

273 → 266

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

eval150.0ms (1.5%)

Compiler: Compiled 6490 to 3314 computations (48.9% saved)

prune130.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	251	15	266
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	252	16	268

Accuracy

100.0%

Counts

268 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.9%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	47.2%	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	99.4%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	99.4%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	97.5%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	98.6%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	75.9%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	46.2%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.9%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	47.2%	(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	99.4%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	99.4%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	97.5%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	98.6%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	75.9%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	46.2%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 824 to 590 computations (28.4% saved)

localize141.0ms (1.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.6%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.3%	(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.1%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	99.6%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓	99.5%	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.7%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	99.6%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
✓	99.6%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
✓	99.4%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 156 to 30 computations (80.8% saved)

series320.0ms (3.2%)

Counts

10 → 316

Calls

81 calls:

Time	Variable		Point	Expression
75.0ms	base	@	-inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
38.0ms	base	@	inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
36.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
32.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
17.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite202.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u`
876×	`prod-diff`
618×	`expm1-log1p-u`
522×	`expm1-udef`
522×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	308
1	360	308
2	4012	308

Stop Event

1×	node limit

Counts

10 → 337

Calls

Call 1

Inputs
(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 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(expm1.f64 (log1p.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))) 3)
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

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

simplify580.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1278×	`*-commutative`
726×	`+-commutative`
646×	`fma-def`
602×	`associate-*r/`
600×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1818	70428
1	6067	64655

Stop Event

1×	node limit

Counts

653 → 748

Calls

Call 1

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

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

eval1.2s (12.2%)

Compiler: Compiled 54825 to 34009 computations (38% saved)

prune270.0ms (2.7%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1314	14	1328
Fresh	8	2	10
Picked	2	3	5
Done	0	1	1
Total	1324	20	1344

Accuracy

100.0%

Counts

1344 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	97.7%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3)
▶	46.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	97.9%	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
▶	99.2%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	99.0%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
▶	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
✓	99.4%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	75.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	46.0%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.8%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	97.7%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3)
▶	46.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	97.9%	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
▶	99.2%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	99.0%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
▶	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
✓	99.4%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	75.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	46.0%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 868 to 654 computations (24.7% saved)

localize147.0ms (1.5%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	99.7%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	99.8%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	99.5%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.8%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 147 to 42 computations (71.4% saved)

series305.0ms (3.1%)

Counts

11 → 264

Calls

69 calls:

Time	Variable		Point	Expression
248.0ms	im	@	inf	(sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
6.0ms	base	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
6.0ms	re	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
5.0ms	im	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
5.0ms	base	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)

rewrite169.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`log1p-expm1-u`
627×	`expm1-log1p-u`
488×	`expm1-udef`
488×	`log1p-udef`
238×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	258
1	399	258
2	4545	258

Stop Event

1×	node limit

Counts

11 → 406

Calls

Call 1

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

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

simplify424.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1948×	`fma-def`
882×	`*-commutative`
666×	`distribute-rgt-in`
666×	`distribute-lft-in`
390×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1365	54705
1	3942	50069

Stop Event

1×	node limit

Counts

670 → 571

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

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

eval740.0ms (7.5%)

Compiler: Compiled 36507 to 23884 computations (34.6% saved)

prune307.0ms (3.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	790	7	797
Fresh	3	8	11
Picked	2	3	5
Done	1	3	4
Total	796	21	817

Accuracy

100.0%

Counts

817 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	71.3%	(/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 -1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base))))
▶	99.0%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
	47.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
▶	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	75.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	46.0%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
▶	45.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	71.3%	(/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 -1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base))))
▶	99.0%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
	47.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
▶	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	75.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	46.0%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 844 to 658 computations (22% saved)

localize137.0ms (1.4%)

Localize:

Found 14 expressions with local error:

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

Compiler

Compiled 158 to 40 computations (74.7% saved)

series22.0ms (0.2%)

Counts

11 → 288

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
1.0ms	base	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
1.0ms	base	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
1.0ms	base	@	0	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
1.0ms	im	@	inf	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))

rewrite171.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`prod-diff`
550×	`expm1-udef`
550×	`log1p-udef`
267×	`log1p-expm1-u`
266×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	305
1	461	281
2	5918	281

Stop Event

1×	node limit

Counts

11 → 507

Calls

Call 1

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

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

simplify407.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1064×	`fma-def`
982×	`associate-r`
872×	`associate-l`
804×	`times-frac`
692×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	972	41223
1	2561	37487

Stop Event

1×	node limit

Counts

795 → 636

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (neg.f64 (log.f64 im)))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 im))) (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (log.f64 base)) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 im)) (.f64 1/2 (/.f64 (pow.f64 re 2) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)) (log.f64 base)))))
(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) (neg.f64 (log.f64 im))))
(+.f64 (.f64 -1 (/.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 (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))))))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 im)) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)) (log.f64 base))) (.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))))))))
(-.f64 (fma.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 3)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (.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 (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 (.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 (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))))))))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 im)) (fma.f64 1/2 (/.f64 (pow.f64 re 2) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)) (log.f64 base))) (fma.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))))) (.f64 (pow.f64 re 6) (fma.f64 -1/2 (/.f64 (.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))))) (.f64 (log.f64 im) (pow.f64 im 2))) (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 (log.f64 im) 2) (pow.f64 im 6))))))))))
(-.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))) (fma.f64 (pow.f64 re 6) (+.f64 (/.f64 (.f64 1/8 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 3)))) (.f64 (log.f64 im) (pow.f64 im 2))) (fma.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2))) (.f64 (/.f64 1/8 (pow.f64 (log.f64 im) 3)) (/.f64 (log.f64 base) (pow.f64 im 6))))) (.f64 (pow.f64 re 4) (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 3)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2))))))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))
(/.f64 (log.f64 base) (neg.f64 (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 (/.f64 1 re)) 2)))) (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 2))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (+.f64 (.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 (/.f64 1 re))))))
(fma.f64 -1/4 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 2))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))))
(fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/4 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 re)) 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 im 6) (log.f64 base)) (.f64 (pow.f64 re 6) (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)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (+.f64 (.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 1/2 (/.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))))) (.f64 (pow.f64 re 6) (log.f64 (/.f64 1 re))))) (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))))))
(fma.f64 -1/4 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/720 (/.f64 (.f64 (log.f64 base) (.f64 (pow.f64 im 6) 120)) (.f64 (pow.f64 re 6) (pow.f64 (neg.f64 (log.f64 re)) 2))) (fma.f64 1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 6)) (/.f64 (fma.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)) (.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (log.f64 base))))) (neg.f64 (log.f64 re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))))))))
(fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/720 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 re)) 3)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 6)) (/.f64 (fma.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 re) 2)) (*.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (log.f64 base))))) (neg.f64 (log.f64 re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))))))))
(/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))
(+.f64 (.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 (/.f64 -1 re))))
(fma.f64 1/2 (/.f64 (pow.f64 im 2) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(fma.f64 1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (+.f64 (.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 (/.f64 -1 re))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (log.f64 base))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (log.f64 base))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))))
(fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (fma.f64 1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 im 6) (log.f64 base)) (.f64 (pow.f64 re 6) (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)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (+.f64 (.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 1/2 (/.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))))) (.f64 (pow.f64 re 6) (log.f64 (/.f64 -1 re))))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))))))
(fma.f64 -1/4 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (fma.f64 -1/8 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (fma.f64 1/720 (/.f64 (.f64 (log.f64 base) (.f64 (pow.f64 im 6) 120)) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (log.f64 base))) (fma.f64 1/2 (/.f64 (pow.f64 im 2) (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (log.f64 base))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 6)) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (log.f64 base))))) (log.f64 (/.f64 -1 re)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))))))
(fma.f64 -1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 -1/8 (/.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (fma.f64 1/720 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 re 6))) (fma.f64 1/4 (.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (fma.f64 1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 6)) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 base))) (.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (log.f64 (/.f64 -1 re)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 re)))
(neg.f64 (/.f64 (log.f64 base) (log.f64 re)))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 re))
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(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 re)) (.f64 1/2 (/.f64 (pow.f64 im 2) (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)) (log.f64 base)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 im 2) (pow.f64 re 2)) (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)))) (/.f64 (log.f64 base) (log.f64 re)))
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(/.f64 (log.f64 base) (log.f64 im))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 base) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))) 1)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 1)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) 1/2))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 im))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 im))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1/4) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1/4))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (neg.f64 (log.f64 im))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 im))))
(*.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1/2)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 1)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) 3)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3/2))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1/4) 2)
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) 1/2))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))

eval571.0ms (5.8%)

Compiler: Compiled 24118 to 13833 computations (42.6% saved)

prune304.0ms (3.1%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	977	5	982
Fresh	1	9	10
Picked	2	3	5
Done	0	6	6
Total	980	23	1003

Accuracy

100.0%

Counts

1003 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.9%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
✓	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	71.3%	(/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
✓	98.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.8%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	98.4%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	98.5%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
	99.0%	(+.f64 1 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
	47.1%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
	97.6%	(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
✓	98.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	75.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 712 to 392 computations (44.9% saved)

regimes109.0ms (1.1%)

Counts

44 → 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 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
(*.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 -1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 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 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3)
(/.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)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))

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

Calls

5 calls:

22.0ms	im
21.0ms	re
21.0ms	base
20.0ms	(log.f64 base)
14.0ms	(/.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 494 to 216 computations (56.3% saved)

regimes24.0ms (0.2%)

Accuracy

Total -0.7b remaining (-105.1%)

Threshold costs -0.7b (-105.1%)

Counts

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

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

Calls

4 calls:

7.0ms	im
6.0ms	(log.f64 base)
5.0ms	re
5.0ms	base

Results

Accuracy	Segments	Branch
98.9%	1	`re`
98.9%	1	`im`
98.9%	1	`base`
98.9%	1	`(log.f64 base)`

Compiler

Compiled 73 to 43 computations (41.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness189.0ms (1.9%)

Rules

2484×	`fma-def`
1510×	`cube-prod`
674×	`distribute-lft-out`
588×	`distribute-lft-in`
556×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	476
1	165	460
2	245	460
3	398	292
4	665	244
5	1005	244
6	3418	244
7	3642	244
8	3763	244
9	3929	244
10	4129	244
11	4480	244
12	6759	244
13	7769	244

Stop Event

1×	node limit

Compiler

Compiled 324 to 103 computations (68.2% saved)

end0.0ms (0%)

preprocess38.0ms (0.4%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 152 to 100 computations (34.2% saved)

analyze169.0ms (1.7%)

sample1.9s (19.5%)

preprocess223.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize126.0ms (1.3%)

series75.0ms (0.8%)

rewrite139.0ms (1.4%)

simplify142.0ms (1.4%)

eval150.0ms (1.5%)

prune130.0ms (1.3%)

localize141.0ms (1.4%)

series320.0ms (3.2%)

rewrite202.0ms (2%)

simplify580.0ms (5.9%)

eval1.2s (12.2%)

prune270.0ms (2.7%)

localize147.0ms (1.5%)

series305.0ms (3.1%)

rewrite169.0ms (1.7%)

simplify424.0ms (4.3%)

eval740.0ms (7.5%)

prune307.0ms (3.1%)

localize137.0ms (1.4%)

series22.0ms (0.2%)

rewrite171.0ms (1.7%)

simplify407.0ms (4.1%)

eval571.0ms (5.8%)

prune304.0ms (3.1%)

regimes109.0ms (1.1%)

regimes24.0ms (0.2%)

simplify2.0ms (0%)

soundness189.0ms (1.9%)

end0.0ms (0%)

preprocess38.0ms (0.4%)

Profiling