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

analyze167.0ms (2%)

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 (25.4%)

Results

1.8s	8256×	body	256	valid
352.0ms	2044×	body	256	invalid

Bogosity

preprocess143.0ms (1.7%)

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 (1.1%)

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

99.6%

Counts

7 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize68.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 60 to 11 computations (81.7% saved)

series240.0ms (2.8%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
209.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
13.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
1.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite127.0ms (1.5%)

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))

simplify178.0ms (2.1%)

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

eval252.0ms (3%)

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

prune63.0ms (0.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	276	22	298
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	277	23	300

Accurracy

100.0%

Counts

300 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3) 1/3)
▶	99.3%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	52.6%	(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)
	97.9%	(/.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) (.f64 (log.f64 base) (log.f64 base)))
	51.0%	(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	6.5%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
	97.2%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
▶	98.3%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.6%	(/.f64 (log.f64 im) (log.f64 base))
	74.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	82.0%	(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 base)) (*.f64 im im))))
▶	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	99.3%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
	97.6%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	98.6%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.2%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	74.3%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	52.7%	(exp.f64 (log.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 626 to 447 computations (28.6% saved)

localize221.0ms (2.6%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2))
✓	99.4%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	99.2%	(pow.f64 (log.f64 base) 2)
	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.1%	(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
✓	99.5%	(*.f64 (log.f64 im) (log.f64 base))
✓	99.4%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓	99.4%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 147 to 31 computations (78.9% saved)

series190.0ms (2.2%)

Counts

10 → 288

Calls

75 calls:

Time	Variable		Point	Expression
53.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
36.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
9.0ms	re	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
8.0ms	re	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
8.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))

rewrite182.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`expm1-udef`
700×	`log1p-udef`
548×	`log-div`
456×	`add-sqr-sqrt`
446×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	192
1	530	192
2	6143	192

Stop Event

1×	node limit

Counts

10 → 449

Calls

Call 1

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

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

simplify360.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1240×	`*-commutative`
586×	`+-commutative`
540×	`fma-def`
522×	`sqr-pow`
514×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1701	53963
1	5402	48585

Stop Event

1×	node limit

Counts

737 → 727

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

eval975.0ms (11.5%)

Compiler: Compiled 41580 to 24532 computations (41% saved)

prune173.0ms (2%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	901	21	922
Fresh	16	1	17
Picked	4	1	5
Done	0	1	1
Total	921	24	945

Accurracy

100.0%

Counts

945 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3) 3)
	98.5%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	99.3%	(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
▶	52.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	52.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	50.6%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	6.4%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
	96.4%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	73.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
▶	98.4%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
	98.4%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	98.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.4%	(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
	98.6%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	97.4%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	52.2%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 544 to 415 computations (23.7% saved)

localize127.0ms (1.5%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (log.f64 base) (log.f64 im))
✓	99.7%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
✓	99.5%	(pow.f64 (log.f64 base) -2)
✓	99.9%	(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
✓	99.8%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.4%	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	99.8%	(/.f64 1 (log.f64 base))
✓	99.7%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	99.7%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 127 to 32 computations (74.8% saved)

series201.0ms (2.4%)

Counts

10 → 200

Calls

57 calls:

Time	Variable		Point	Expression
115.0ms	im	@	-inf	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
19.0ms	im	@	0	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
18.0ms	base	@	0	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
16.0ms	base	@	-inf	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
13.0ms	im	@	inf	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))

rewrite173.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1964×	`log-prod`
686×	`expm1-udef`
684×	`log1p-udef`
432×	`add-sqr-sqrt`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	162
1	493	156
2	5433	156

Stop Event

1×	node limit

Counts

10 → 481

Calls

Call 1

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

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

simplify234.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1950×	`log-prod`
1080×	`associate-r`
984×	`associate-l`
708×	`fma-def`
612×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	848	18115
1	1831	16481
2	7616	16481

Stop Event

1×	node limit

Counts

681 → 511

Calls

Call 1

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

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

eval263.0ms (3.1%)

Compiler: Compiled 17783 to 8600 computations (51.6% saved)

prune353.0ms (4.2%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	929	6	935
Fresh	8	9	17
Picked	1	4	5
Done	0	2	2
Total	938	21	959

Accurracy

100.0%

Counts

959 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	6.4%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	98.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	49.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 1/3) (log.f64 im))
	50.6%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.4%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
	98.4%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	98.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.4%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)) (log.f64 im))
	98.0%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	98.6%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	97.4%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	52.2%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 415 to 321 computations (22.7% saved)

localize164.0ms (1.9%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.1%	(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	98.9%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.6%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
✓	99.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.4%	(/.f64 (log.f64 base) (log.f64 im))
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))

Compiler

Compiled 149 to 44 computations (70.5% saved)

series36.0ms (0.4%)

Counts

11 → 292

Calls

75 calls:

Time	Variable		Point	Expression
8.0ms	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)
2.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
1.0ms	base	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)

rewrite161.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`expm1-udef`
680×	`log1p-udef`
668×	`log-pow`
562×	`log-div`
416×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	209
1	508	197
2	5656	197

Stop Event

1×	node limit

Counts

11 → 463

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (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 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (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 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.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 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
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(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (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 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 im)))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (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 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (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 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(/.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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (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 (log.f64 im) 1) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.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)))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/9)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(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)))))

simplify268.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1510×	`times-frac`
1140×	`fma-def`
1114×	`associate-r`
544×	`*-commutative`
394×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1040	31705
1	2789	29149

Stop Event

1×	node limit

Counts

755 → 567

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (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 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.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)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
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(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)))
(.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(.f64 (sqrt.f64 (log.f64 im)) (.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 im)))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (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 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (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 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(/.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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (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 (log.f64 im) 1) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.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)))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(/.f64 -1 (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/9)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(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)))))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.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 (.f64 im im) (log.f64 base)))))
(fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (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 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 base))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 base)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.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 (/.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))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (.f64 1/2 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.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 (/.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)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (.f64 re re) (log.f64 base))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (.f64 (/.f64 im (.f64 re re)) (/.f64 im (log.f64 base))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (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 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(/.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 1 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(fabs.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(/.f64 -1 (cbrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (cbrt.f64 (log.f64 im)) (neg.f64 (cbrt.f64 (log.f64 base)))))
(*.f64 1 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/3)
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/6) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1/6))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/18) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/18))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 2)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

eval389.0ms (4.6%)

Compiler: Compiled 24455 to 13967 computations (42.9% saved)

prune168.0ms (2%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1011	7	1018
Fresh	3	7	10
Picked	2	3	5
Done	1	5	6
Total	1017	22	1039

Accurracy

100.0%

Counts

1039 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
✓	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.4%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	6.4%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.6%	(/.f64 (log.f64 im) (log.f64 base))
	97.2%	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3))
	99.2%	(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
✓	99.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	98.5%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.4%	(/.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)))))
	50.6%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.4%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
	98.4%	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))
✓	98.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.0%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	98.6%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	97.4%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.2%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	73.5%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 856 to 435 computations (49.2% saved)

regimes119.0ms (1.4%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(log.f64 base)
23.0ms	re
23.0ms	base
23.0ms	im
15.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 651 to 267 computations (59% saved)

regimes21.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	im
5.0ms	(log.f64 base)
4.0ms	base
4.0ms	re

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`
98.6%	1	`(log.f64 base)`

Compiler

Compiled 73 to 45 computations (38.4% saved)

regimes14.0ms (0.2%)

Accuracy

Total -0.3b remaining (-30.9%)

Threshold costs -0.3b (-30.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`
98.6%	1	`(log.f64 base)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`
2×	`mul-1-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	61
1	22	61
2	25	61
3	28	61
4	31	61
5	32	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

soundness164.0ms (1.9%)

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)

end39.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 168 to 110 computations (34.5% saved)

analyze167.0ms (2%)

sample2.2s (25.4%)

preprocess143.0ms (1.7%)

simplify93.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize68.0ms (0.8%)

series240.0ms (2.8%)

rewrite127.0ms (1.5%)

simplify178.0ms (2.1%)

eval252.0ms (3%)

prune63.0ms (0.7%)

localize221.0ms (2.6%)

series190.0ms (2.2%)

rewrite182.0ms (2.1%)

simplify360.0ms (4.2%)

eval975.0ms (11.5%)

prune173.0ms (2%)

localize127.0ms (1.5%)

series201.0ms (2.4%)

rewrite173.0ms (2%)

simplify234.0ms (2.8%)

eval263.0ms (3.1%)

prune353.0ms (4.2%)

localize164.0ms (1.9%)

series36.0ms (0.4%)

rewrite161.0ms (1.9%)

simplify268.0ms (3.2%)

eval389.0ms (4.6%)

prune168.0ms (2%)

regimes119.0ms (1.4%)

regimes21.0ms (0.2%)

regimes14.0ms (0.2%)

simplify5.0ms (0.1%)

soundness164.0ms (1.9%)

end39.0ms (0.5%)

Profiling