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

analyze191.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.2s (24.3%)

Results

1.8s	8256×	body	256	valid
337.0ms	2143×	body	256	invalid

Bogosity

preprocess142.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	313
1	161	299
2	241	299
3	396	193
4	666	151
5	1006	151
6	3424	151
7	3647	151
8	3768	151
9	3934	151
10	4134	151
11	4485	151
12	6769	151
13	7778	151

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def`
1096×	`cube-prod`
1066×	`sqr-pow`
1056×	`associate-/r/`
1038×	`cube-div`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	34	41
2	41	41
3	52	27
4	71	21
5	80	21
6	204	21
7	1004	21
8	1669	21
9	1930	21
10	2419	21
11	2896	21
12	3782	21
13	5838	21
14	7024	21
15	7572	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 87 to 32 computations (63.2% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Accurracy

99.7%

Counts

7 → 2

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)

localize59.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.3%	(*.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)

series78.0ms (0.9%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
44.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
11.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
9.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	-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))

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`log-prod`
788×	`pow-prod-down`
634×	`pow-prod-up`
550×	`pow-exp`
444×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	266	74
2	3641	74

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`unswap-sqr`
672×	`distribute-lft-in`
648×	`distribute-rgt-in`
590×	`associate-+r+`
590×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	14077
1	1120	11255
2	3494	10949

Stop Event

1×	node limit

Counts

297 → 298

Calls

Call 1

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

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

eval97.0ms (1.1%)

Compiler: Compiled 7129 to 3123 computations (56.2% saved)

prune75.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	280	18	298
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	281	19	300

Accurracy

100.0%

Counts

300 → 19

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)
▶	49.5%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	98.0%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.0%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	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))
▶	99.0%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	74.3%	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	97.6%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	50.3%	(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
	97.4%	(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))))
▶	74.1%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))
▶	99.4%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
▶	49.5%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	98.0%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	97.3%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	99.0%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	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))
▶	99.0%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	74.3%	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	97.6%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	50.3%	(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
	97.4%	(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))))
▶	74.1%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))

Compiler

Compiled 1028 to 738 computations (28.2% saved)

localize134.0ms (1.5%)

Local Accuracy

Found 12 expressions with local accuracy:

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

Compiler

Compiled 154 to 27 computations (82.5% saved)

series210.0ms (2.4%)

Counts

9 → 280

Calls

72 calls:

Time	Variable		Point	Expression
39.0ms	re	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
31.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
20.0ms	base	@	inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
19.0ms	base	@	-inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
15.0ms	base	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite145.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow-exp`
704×	`expm1-udef`
700×	`log1p-udef`
674×	`prod-diff`
650×	`log-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	197
1	475	197
2	5139	197

Stop Event

1×	node limit

Counts

9 → 401

Calls

Call 1

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

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

simplify307.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`*-commutative`
740×	`distribute-lft-in`
734×	`distribute-rgt-in`
502×	`+-commutative`
442×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1526	48471
1	4346	42265

Stop Event

1×	node limit

Counts

681 → 679

Calls

Call 1

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

Outputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 -1 (.f64 (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (.f64 re re) (.f64 im im))) (-.f64 (/.f64 (log.f64 base) (log.f64 im)) (.f64 (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (pow.f64 re 4))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(fma.f64 -1 (.f64 (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 6)) (fma.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))) (.f64 (.f64 im im) (log.f64 im)))))) (pow.f64 re 6)) (fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 -1 (.f64 (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (.f64 re re) (.f64 im im))) (-.f64 (/.f64 (log.f64 base) (log.f64 im)) (.f64 (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (pow.f64 re 4)))) (.f64 (fma.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 im) 2))) (fma.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (.f64 (.f64 im im) (log.f64 im)))))) (pow.f64 re 6)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (.f64 -1/2 (.f64 (/.f64 (log.f64 base) (.f64 re re)) (/.f64 (.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2)))))
(-.f64 (.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (.f64 im im) (.f64 re re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (neg.f64 (log.f64 re)) 2))) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (.f64 -1/2 (.f64 (/.f64 (log.f64 base) (.f64 re re)) (/.f64 (.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2))))))
(-.f64 (-.f64 (.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (.f64 im im) (.f64 re re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (pow.f64 re 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (neg.f64 (log.f64 re)) 2))) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (fma.f64 -1/2 (.f64 (/.f64 (log.f64 base) (.f64 re re)) (/.f64 (.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2))) (neg.f64 (/.f64 (fma.f64 -1/8 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (neg.f64 (log.f64 re)) 2))) (/.f64 (neg.f64 (log.f64 re)) (.f64 im im))) (.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (.f64 (pow.f64 im 6) 120)))))) (pow.f64 re 6))))))
(-.f64 (-.f64 (-.f64 (.f64 -1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (/.f64 (.f64 im im) (.f64 re re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/8 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (/.f64 (neg.f64 (log.f64 re)) (.f64 im im))) (.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 im 6) 120)))))) (pow.f64 re 6))) (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (/.f64 (.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (pow.f64 re 4)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (/.f64 (.f64 -1/2 (.f64 (log.f64 base) (.f64 im im))) (.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))
(-.f64 (/.f64 (.f64 -1/2 (.f64 (log.f64 base) (.f64 im im))) (.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
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(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1)
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(pow.f64 (cbrt.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 3)
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(pow.f64 (pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (/.f64 1 (log.f64 base))) 2)
(pow.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (pow.f64 (log.f64 base) -4)))
(sqrt.f64 (.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)))
(log.f64 (pow.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 base (log.f64 (hypot.f64 re im)))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)) 1)))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)) -1))
(cbrt.f64 (pow.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(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)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(expm1.f64 (log1p.f64 (.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)))
(exp.f64 (log.f64 (.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)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 1))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 1) 1))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))) 3))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))) 1/3))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (/.f64 1 (log.f64 base)))) 2))
(pow.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)) 2)
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)) 1))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)) -1))

eval878.0ms (9.9%)

Compiler: Compiled 47206 to 25474 computations (46% saved)

prune656.0ms (7.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1418	16	1434
Fresh	11	2	13
Picked	4	1	5
Done	0	1	1
Total	1433	20	1453

Accurracy

100.0%

Counts

1453 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.0%	(/.f64 (log.f64 im) (log.f64 base))
	98.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.1%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
	98.9%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 im) (log.f64 base)))
	74.1%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
▶	98.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	99.0%	(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
	97.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.5%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
▶	99.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.0%	(/.f64 (log.f64 im) (log.f64 base))
	98.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.1%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
	98.9%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 im) (log.f64 base)))
	74.1%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
▶	98.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	99.0%	(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
	97.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.5%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 912 to 706 computations (22.6% saved)

localize151.0ms (1.7%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.6%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
✓	99.5%	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.2%	(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	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)) 1)
✓	99.3%	(-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) 1)
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.6%	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
✓	99.6%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Compiler

Compiled 168 to 46 computations (72.6% saved)

series41.0ms (0.5%)

Counts

11 → 320

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
2.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms	base	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)

rewrite156.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`prod-diff`
696×	`expm1-udef`
694×	`log1p-udef`
466×	`add-sqr-sqrt`
460×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	221
1	561	209
2	6169	209

Stop Event

1×	node limit

Counts

11 → 511

Calls

Call 1

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

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

simplify334.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

712×	`*-commutative`
682×	`associate-+r+`
608×	`distribute-rgt-in`
592×	`associate-+l+`
582×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1287	55025
1	3549	49175

Stop Event

1×	node limit

Counts

831 → 741

Calls

Call 1

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

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

eval689.0ms (7.7%)

Compiler: Compiled 42483 to 23206 computations (45.4% saved)

prune368.0ms (4.1%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1441	8	1449
Fresh	3	10	13
Picked	2	3	5
Done	0	2	2
Total	1446	23	1469

Accurracy

100.0%

Counts

1469 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
▶	98.8%	(pow.f64 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) -1)
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
✓	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.0%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.8%	(-.f64 (-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) 1)
	98.6%	(-.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))
	97.5%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	98.9%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 im) (log.f64 base)))
✓	98.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.9%	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
	47.5%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
▶	98.4%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
▶	97.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.5%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
✓	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
▶	98.8%	(pow.f64 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) -1)
	49.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	98.5%	(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
✓	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.0%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.8%	(-.f64 (-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) 1)
	98.6%	(-.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))
	97.5%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	98.9%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 im) (log.f64 base)))
✓	98.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.9%	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
	47.5%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
▶	98.4%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
▶	97.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.5%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 974 to 782 computations (19.7% saved)

localize243.0ms (2.7%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f64 1 (log.f64 base))
✓	99.4%	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
✓	99.0%	(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
✓	98.8%	(pow.f64 (/.f64 1 (log.f64 base)) 3)
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	97.6%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.7%	(/.f64 1 (log.f64 im))
✓	99.6%	(pow.f64 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) -1)
✓	99.5%	(*.f64 (/.f64 1 (log.f64 im)) (log.f64 base))
✓	99.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 base) (log.f64 im))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.3%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	99.2%	(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))

Compiler

Compiled 140 to 55 computations (60.7% saved)

series82.0ms (0.9%)

Counts

12 → 264

Calls

69 calls:

Time	Variable		Point	Expression
18.0ms	base	@	inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
17.0ms	base	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
16.0ms	base	@	-inf	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
5.0ms	im	@	0	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
3.0ms	base	@	0	(/.f64 (log.f64 base) (log.f64 im))

rewrite137.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`log-prod`
654×	`expm1-udef`
652×	`log1p-udef`
400×	`add-sqr-sqrt`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	198
1	521	186
2	5056	186

Stop Event

1×	node limit

Counts

12 → 457

Calls

Call 1

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

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

simplify297.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-r`
842×	`fma-def`
812×	`associate-l`
612×	`times-frac`
612×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	900	24033
1	2150	22041

Stop Event

1×	node limit

Counts

721 → 544

Calls

Call 1

Inputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 6) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))) (pow.f64 re 4))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))) (pow.f64 re 4)) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 6)))))
(exp.f64 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 re 4))))) (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))))) (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 6))) (+.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 re 4))))) (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(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))))

Outputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (.f64 re re) (*.f64 im im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1/2 (/.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (/.f64 (.f64 im (.f64 im (log.f64 base))) (*.f64 re re))) (pow.f64 im (/.f64 1 (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (.f64 (log.f64 base) (pow.f64 im 4))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (/.f64 (.f64 im (.f64 im (log.f64 base))) (.f64 re re))) (.f64 (+.f64 (.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 (log.f64 base) -2) (pow.f64 im 4)) (/.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))))) 1) (pow.f64 im (/.f64 1 (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 4))))))) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 6) (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 1/48 (/.f64 1 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 4) (-.f64 (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (.f64 (log.f64 base) (pow.f64 im 4))))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 6) (-.f64 (+.f64 (/.f64 1/6 (.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/48 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (+.f64 (.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 (log.f64 base) -2) (pow.f64 im 4)) (/.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))))) (.f64 (pow.f64 re 6) (+.f64 (/.f64 1/48 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (-.f64 (/.f64 1/6 (.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/8 (.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))))) (fma.f64 1/2 (/.f64 (pow.f64 im (/.f64 1 (log.f64 base))) (/.f64 (.f64 im (.f64 im (log.f64 base))) (.f64 re re))) (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (*.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (*.f64 re re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (pow.f64 re 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (pow.f64 re 4) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (pow.f64 re 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))))) (/.f64 (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (/.f64 (pow.f64 re 6) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))))
(+.f64 (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.f64 (pow.f64 re 4) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))))) (+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (.f64 re re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))) (/.f64 (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (pow.f64 im 6) 1/48) (pow.f64 (log.f64 base) 3)))) (/.f64 (pow.f64 re 6) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (.f64 re re)))))
(fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (log.f64 base)) (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (*.f64 re re))) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))) (pow.f64 re 4))))
(+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (/.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (log.f64 base)) (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (.f64 re re))) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (/.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (pow.f64 im 2)) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))) (pow.f64 re 4)) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))) (pow.f64 re 6)))))
(+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (/.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (/.f64 (pow.f64 re 6) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)) (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 im im) (log.f64 base)) (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (.f64 re re))) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (/.f64 (pow.f64 re 4) (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) (/.f64 (pow.f64 re 6) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (pow.f64 im 6) 1/48) (pow.f64 (log.f64 base) 3))))))))
(exp.f64 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(fabs.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))

eval382.0ms (4.3%)

Compiler: Compiled 15412 to 8611 computations (44.1% saved)

prune186.0ms (2.1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	721	7	728
Fresh	7	6	13
Picked	3	2	5
Done	0	5	5
Total	731	20	751

Accurracy

100.0%

Counts

751 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
✓	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
✓	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.8%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.0%	(/.f64 (log.f64 im) (log.f64 base))
✓	98.9%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.8%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	98.1%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	98.4%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
	98.8%	(-.f64 (-.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) 1)
	98.6%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
	97.5%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
✓	98.9%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.9%	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
	98.4%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	96.7%	(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
✓	99.1%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	98.5%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 768 to 425 computations (44.7% saved)

regimes114.0ms (1.3%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 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))
(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)))))
(pow.f64 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) -1)
(pow.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(+.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 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) 1)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
(*.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 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) -2) (.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)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))

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

Calls

5 calls:

23.0ms	(log.f64 base)
22.0ms	re
22.0ms	im
21.0ms	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 583 to 269 computations (53.9% saved)

regimes24.0ms (0.3%)

Accuracy

Total -0.7b remaining (-112.1%)

Threshold costs -0.7b (-112.1%)

Counts

9 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.0%	1	`re`
99.0%	1	`im`
99.0%	1	`base`
99.0%	1	`(log.f64 base)`

Compiler

Compiled 91 to 55 computations (39.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36

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)

soundness165.0ms (1.8%)

Rules

1332×	`fma-def`
1096×	`cube-prod`
1066×	`sqr-pow`
1056×	`associate-/r/`
1038×	`cube-div`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	34	41
2	41	41
3	52	27
4	71	21
5	80	21
6	204	21
7	1004	21
8	1669	21
9	1930	21
10	2419	21
11	2896	21
12	3782	21
13	5838	21
14	7024	21
15	7572	21

Stop Event

1×	node limit

Compiler

Compiled 166 to 44 computations (73.5% saved)

end0.0ms (0%)

preprocess86.0ms (1%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 152 to 100 computations (34.2% saved)

analyze191.0ms (2.1%)

sample2.2s (24.3%)

preprocess142.0ms (1.6%)

simplify93.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize59.0ms (0.7%)

series78.0ms (0.9%)

rewrite87.0ms (1%)

simplify129.0ms (1.4%)

eval97.0ms (1.1%)

prune75.0ms (0.8%)

localize134.0ms (1.5%)

series210.0ms (2.4%)

rewrite145.0ms (1.6%)

simplify307.0ms (3.5%)

eval878.0ms (9.9%)

prune656.0ms (7.4%)

localize151.0ms (1.7%)

series41.0ms (0.5%)

rewrite156.0ms (1.8%)

simplify334.0ms (3.8%)

eval689.0ms (7.7%)

prune368.0ms (4.1%)

localize243.0ms (2.7%)

series82.0ms (0.9%)

rewrite137.0ms (1.5%)

simplify297.0ms (3.3%)

eval382.0ms (4.3%)

prune186.0ms (2.1%)

regimes114.0ms (1.3%)

regimes24.0ms (0.3%)

simplify4.0ms (0%)

soundness165.0ms (1.8%)

end0.0ms (0%)

preprocess86.0ms (1%)

Profiling