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

analyze175.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.7s (31.2%)

Results

2.1s	8256×	body	256	valid
491.0ms	2068×	body	256	invalid

Bogosity

preprocess174.0ms (2%)

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)

simplify94.0ms (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
▶	99.3%	(/.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)

localize62.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 60 to 11 computations (81.7% saved)

series82.0ms (1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
45.0ms	base	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
15.0ms	base	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
6.0ms	base	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify140.0ms (1.6%)

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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(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))))

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

eval104.0ms (1.2%)

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

prune64.0ms (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
	99.2%	(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
	50.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
▶	97.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	49.2%	(/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
	96.5%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 base) 6) 1/3))
▶	98.7%	(/.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))
▶	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	49.4%	(/.f64 (exp.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base)))
	71.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	75.4%	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
▶	99.3%	(*.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)))
	99.2%	(.f64 (.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
▶	99.3%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
	97.4%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	98.9%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.3%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	97.8%	(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
	71.7%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	50.4%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))

Compiler

Compiled 628 to 453 computations (27.9% saved)

localize150.0ms (1.8%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	99.4%	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))
✓	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)))
✓	98.8%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
✓	99.4%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(*.f64 (log.f64 im) (log.f64 base))
	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
✓	99.4%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
✓	99.2%	(pow.f64 (log.f64 base) -2)

Compiler

Compiled 163 to 42 computations (74.2% saved)

series132.0ms (1.6%)

Counts

11 → 276

Calls

72 calls:

Time	Variable		Point	Expression
33.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
13.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
12.0ms	im	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
11.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	re	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

rewrite146.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`expm1-udef`
732×	`log1p-udef`
510×	`add-sqr-sqrt`
498×	`pow1`
490×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	251
1	593	193
2	6903	193

Stop Event

1×	node limit

Counts

11 → 478

Calls

Call 1

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

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

simplify283.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

988×	`*-commutative`
486×	`sqr-pow`
476×	`unswap-sqr`
444×	`distribute-rgt-in`
442×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1454	43662
1	4373	38174

Stop Event

1×	node limit

Counts

754 → 664

Calls

Call 1

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

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

eval485.0ms (5.7%)

Compiler: Compiled 31723 to 18329 computations (42.2% saved)

prune154.0ms (1.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	840	19	859
Fresh	15	2	17
Picked	3	2	5
Done	0	1	1
Total	858	24	882

Accurracy

100.0%

Counts

882 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	97.9%	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3)
	50.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	50.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.2%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	95.9%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 base) 6) 1/3))
▶	98.4%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.2%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	70.7%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	75.2%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.3%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	98.8%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.6%	(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	98.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	97.4%	(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
	97.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.3%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶	71.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.1%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 557 to 427 computations (23.3% saved)

localize127.0ms (1.5%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
	99.5%	(*.f64 (log.f64 im) (log.f64 base))
✓	99.4%	(cbrt.f64 (pow.f64 (log.f64 base) 6))
✓	98.6%	(pow.f64 (log.f64 base) 6)
✓	99.8%	(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.7%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.2%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
✓	99.7%	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.6%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.7%	(/.f64 1 (log.f64 base))
✓	99.6%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	99.6%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 141 to 36 computations (74.5% saved)

series126.0ms (1.5%)

Counts

12 → 268

Calls

69 calls:

Time	Variable		Point	Expression
52.0ms	im	@	-inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
17.0ms	im	@	inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
16.0ms	base	@	-inf	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
13.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
6.0ms	base	@	0	(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))

rewrite146.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`prod-diff`
760×	`expm1-udef`
758×	`log1p-udef`
456×	`add-sqr-sqrt`
448×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	226
1	500	210
2	6116	210

Stop Event

1×	node limit

Counts

12 → 431

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.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))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (log.f64 base) 6)
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))

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 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(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 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 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 (/.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))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
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(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/3))
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(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(.f64 1 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(*.f64 (log.f64 im) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2) (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 im))) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 2))
(log.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (log.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) 1))

simplify185.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-r`
914×	`associate-l`
878×	`times-frac`
848×	`fma-def`
444×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	924	24933
1	2342	22925

Stop Event

1×	node limit

Counts

699 → 542

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(/.f64 (log.f64 base) (log.f64 re))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))) (+.f64 (.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (.f64 (log.f64 re) (pow.f64 re 2)))))) (pow.f64 im 6))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 base) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (.f64 -1/8 (/.f64 (.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 im 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))
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(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) 1) (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 (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 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(+.f64 0 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(+.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) -1)
(-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2)) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (-.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (E.f64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 6))) 1)
(*.f64 1 (pow.f64 (log.f64 base) 6))
(*.f64 (pow.f64 (log.f64 base) 6) 1)
(*.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (pow.f64 (log.f64 base) 12)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 base) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 6) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 6) (pow.f64 (sqrt.f64 (log.f64 base)) 6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) 1) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) (log.f64 base)) (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) 12))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 6))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 6)))
(exp.f64 (*.f64 6 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(.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 (pow.f64 1 1/3) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) 1/3) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(.f64 1 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(*.f64 (log.f64 im) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2) (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 im))) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 2))
(log.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (log.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 1))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (log.f64 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))))))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 6))))
(pow.f64 (log.f64 base) 6)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 6) 3))
(pow.f64 (log.f64 base) 6)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 6)))
(pow.f64 (log.f64 base) 6)
(exp.f64 (*.f64 6 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 6)
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1))
(pow.f64 (log.f64 base) 6)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 6)))
(pow.f64 (log.f64 base) 6)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (log.f64 base) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(.f64 (.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)) 1/3) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (log.f64 base) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))
(log.f64 (pow.f64 base (log.f64 base)))
(pow.f64 (log.f64 base) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (log.f64 base) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(exp.f64 (log.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 base))) 1/3))
(pow.f64 (log.f64 base) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 2)) 1))
(pow.f64 (log.f64 base) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(pow.f64 (log.f64 base) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 1 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 1 (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))
(.f64 (log.f64 im) (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 base)))
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base)))
(.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(/.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))
(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (.f64 (log.f64 base) (log.f64 im)))))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (cbrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2))))
(.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 2) (cbrt.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (log.f64 base) (.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2)))))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 base) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im))))
(/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(.f64 (cbrt.f64 (.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 im)) 2)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 12)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) 2)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 im))) -1)
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 im))))
(/.f64 1 (*.f64 1 (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (log.f64 base) (.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2)))))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im)))
(sqrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 2))
(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 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) 1)))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) -1))
(cbrt.f64 (pow.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (.f64 (log.f64 im) (.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))) 1))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) 1))
(log1p.f64 (+.f64 (pow.f64 (pow.f64 base (log.f64 im)) (pow.f64 (log.f64 base) -2)) -1))

eval254.0ms (3%)

Compiler: Compiled 16875 to 8686 computations (48.5% saved)

prune141.0ms (1.7%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	861	9	870
Fresh	5	11	16
Picked	2	3	5
Done	1	2	3
Total	869	25	894

Accurracy

100.0%

Counts

894 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	50.0%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	99.2%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	95.9%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 base) 6) 1/3))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.2%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶	98.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.2%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
	70.3%	(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 2) 1)
	98.0%	(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
	98.3%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
	98.2%	(-.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) 1)
	97.4%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	98.8%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	49.6%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
▶	98.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
▶	48.3%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
	97.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.3%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓	71.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.1%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 544 to 434 computations (20.2% saved)

localize135.0ms (1.6%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
✓	99.7%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
	99.6%	(pow.f64 (log.f64 base) -2)
✓	100.0%	(log.f64 (log.f64 base))
✓	99.7%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
✓	99.1%	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
✓	99.8%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.8%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓	99.8%	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
✓	99.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.7%	(/.f64 (log.f64 base) (log.f64 im))
✓	99.8%	(/.f64 1 (log.f64 (hypot.f64 re im)))
	99.8%	(/.f64 1 (log.f64 base))
✓	99.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))

Compiler

Compiled 150 to 47 computations (68.7% saved)

series129.0ms (1.5%)

Counts

12 → 276

Calls

75 calls:

Time	Variable		Point	Expression
65.0ms	im	@	0	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
17.0ms	base	@	inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
14.0ms	base	@	-inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
13.0ms	base	@	0	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
2.0ms	im	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))

rewrite135.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`expm1-udef`
720×	`log1p-udef`
622×	`prod-diff`
470×	`add-sqr-sqrt`
462×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	238
1	538	198
2	6375	198

Stop Event

1×	node limit

Counts

12 → 377

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

simplify251.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-l`
1076×	`fma-def`
508×	`*-commutative`
496×	`distribute-lft-in`
494×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1056	28107
1	2719	26443

Stop Event

1×	node limit

Counts

653 → 603

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

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

eval360.0ms (4.2%)

Compiler: Compiled 20183 to 11852 computations (41.3% saved)

prune205.0ms (2.4%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	767	9	776
Fresh	7	8	15
Picked	2	3	5
Done	0	5	5
Total	776	25	801

Accurracy

100.0%

Counts

801 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
	50.0%	(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)
	98.7%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	74.8%	(/.f64 (/.f64 1 (log.f64 base)) (exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.2%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	98.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.6%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	98.4%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	77.5%	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))))
	98.3%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
	98.0%	(-.f64 (-.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 1) 1)
	98.3%	(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
	98.2%	(-.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) 1)
✓	98.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	98.8%	(.f64 (log.f64 base) (.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
✓	48.3%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
	7.7%	(*.f64 1 (log.f64 im))
	97.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.3%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓	71.2%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	50.1%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))

Compiler

Compiled 922 to 497 computations (46.1% saved)

regimes128.0ms (1.5%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	base
25.0ms	(log.f64 base)
24.0ms	re
24.0ms	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 685 to 300 computations (56.2% saved)

regimes27.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 99 to 59 computations (40.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 1 (log.f64 im))

Calls

3 calls:

2.0ms	base
2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
7.7%	1	`re`
7.7%	1	`im`
7.7%	1	`base`

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-lft-identity`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	17	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

soundness1.1s (13%)

Rules

1332×	`fma-def`
1190×	`associate-l`
1096×	`cube-prod`
1080×	`prod-diff`
1076×	`fma-def`

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
0	28	251
1	593	193
2	6903	193
0	25	226
1	500	210
2	6116	210
0	26	238
1	538	198
2	6375	198
0	1056	28107
1	2719	26443

Stop Event

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

Compiler

Compiled 283 to 109 computations (61.5% saved)

end39.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 156 to 100 computations (35.9% saved)

analyze175.0ms (2.1%)

sample2.7s (31.2%)

preprocess174.0ms (2%)

simplify94.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize62.0ms (0.7%)

series82.0ms (1%)

rewrite88.0ms (1%)

simplify140.0ms (1.6%)

eval104.0ms (1.2%)

prune64.0ms (0.7%)

localize150.0ms (1.8%)

series132.0ms (1.6%)

rewrite146.0ms (1.7%)

simplify283.0ms (3.3%)

eval485.0ms (5.7%)

prune154.0ms (1.8%)

localize127.0ms (1.5%)

series126.0ms (1.5%)

rewrite146.0ms (1.7%)

simplify185.0ms (2.2%)

eval254.0ms (3%)

prune141.0ms (1.7%)

localize135.0ms (1.6%)

series129.0ms (1.5%)

rewrite135.0ms (1.6%)

simplify251.0ms (3%)

eval360.0ms (4.2%)

prune205.0ms (2.4%)

regimes128.0ms (1.5%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

simplify4.0ms (0.1%)

soundness1.1s (13%)

end39.0ms (0.5%)

Profiling