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

analyze247.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

Operation ival-mult, time spent: 52.0ms, 39.0% of total-time

Operation ival-log, time spent: 29.0ms, 22.0% of total-time

Operation ival-add, time spent: 18.0ms, 14.0% of total-time

Operation ival-atan2, time spent: 13.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 9.0% of total-time

Operation ival-div, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 2.0% of total-time

sample2.6s (19.9%)

Results

2.4s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-log, time spent: 511.0ms, 34.0% of total-time

Operation ival-mult, time spent: 482.0ms, 32.0% of total-time

Operation ival-add, time spent: 179.0ms, 12.0% of total-time

Operation ival-div, time spent: 144.0ms, 10.0% of total-time

Operation ival-atan2, time spent: 79.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 68.0ms, 5.0% of total-time

Operation const, time spent: 20.0ms, 1.0% of total-time

Operation backward-pass, time spent: 5.0ms, 0.0% of total-time

Bogosity

preprocess320.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1840×	`div-sub`
1318×	`times-frac`
1270×	`fma-neg`
650×	`associate-/l/`
482×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
142	-	1	(1.3048195995550814e-173 1.2670302894523108e-159 9.724761569793802e-111)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0))`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`(*.f64 (atan2.f64 im re) 0)`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 0 0)`
0	-	0	-	`0`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	185	652
2	308	652
3	589	398
4	1229	350
5	2509	350
6	5970	350

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 277 to 88 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

Operation ival-mult, time spent: 29.0ms, 38.0% of total-time

Operation ival-log, time spent: 18.0ms, 23.0% of total-time

Operation ival-add, time spent: 14.0ms, 18.0% of total-time

Operation ival-atan2, time spent: 6.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 5.0% of total-time

Operation ival-div, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.3%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Compiler

Compiled 54 to 34 computations (37% saved)

localize109.0ms (0.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Compiler

Compiled 124 to 19 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-div, time spent: 10.0ms, 24.0% of total-time

Operation ival-mult, time spent: 10.0ms, 24.0% of total-time

Operation composed, time spent: 8.0ms, 19.0% of total-time

Operation ival-log, time spent: 8.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 5.0% of total-time

Operation ival-add, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series133.0ms (1%)

Counts

9 → 224

Calls

57 calls:

Time	Variable		Point	Expression
49.0ms	base	@	0	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
13.0ms	base	@	-inf	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
10.0ms	base	@	inf	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
7.0ms	im	@	0	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
3.0ms	im	@	-inf	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

rewrite269.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1037×	`log1p-expm1-u`
1037×	`expm1-log1p-u`
362×	`expm1-undefine`
362×	`log1p-undefine`
270×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	206
1	312	206
2	3459	206

Stop Event

1×	node limit

Counts

9 → 339

Calls

Call 1

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

simplify269.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1338×	`log-prod`
1070×	`cube-prod`
1008×	`exp-prod`
664×	`associate-r`
602×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	24990
1	1271	24544
2	5341	24544

Stop Event

1×	node limit

Counts

563 → 329

Calls

Call 1

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

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

eval126.0ms (1%)

Compiler: Compiled 7155 to 3441 computations (51.9% saved)

prune83.0ms (0.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	330	18	348
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	332	20	352

Accuracy

100.0%

Counts

352 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	98.0%	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	97.3%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))))
	98.9%	(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
	98.5%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	99.3%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
▶	99.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	74.9%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
▶	53.4%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶	97.8%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
	53.4%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	99.3%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
	99.3%	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))
	98.7%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.7%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
▶	49.7%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 522 to 376 computations (28% saved)

localize521.0ms (4%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 1 (cbrt.f64 (log.f64 base)))
✓	99.8%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	99.7%	(cbrt.f64 (log.f64 base))
✓	99.5%	(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
✓	99.9%	(pow.f64 (log.f64 base) -1/2)
✓	99.8%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
✓	99.7%	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
✓	99.9%	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.8%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.8%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.8%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓	99.8%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 156 to 43 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

Operation ival-pow, time spent: 208.0ms, 53.0% of total-time

Operation ival-log, time spent: 90.0ms, 23.0% of total-time

Operation ival-exp, time spent: 31.0ms, 8.0% of total-time

Operation ival-div, time spent: 23.0ms, 6.0% of total-time

Operation composed, time spent: 13.0ms, 3.0% of total-time

Operation ival-mult, time spent: 11.0ms, 3.0% of total-time

Operation const, time spent: 4.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 4.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 1.0% of total-time

Operation ival-add, time spent: 2.0ms, 1.0% of total-time

series412.0ms (3.2%)

Counts

12 → 292

Calls

75 calls:

Time	Variable		Point	Expression
111.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))
59.0ms	base	@	0	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
27.0ms	base	@	-inf	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
21.0ms	base	@	-inf	(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
21.0ms	base	@	inf	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite199.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log1p-expm1-u`
908×	`expm1-log1p-u`
262×	`associate-r`
176×	`prod-diff`
176×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	277
1	423	277
2	4866	277

Stop Event

1×	node limit

Counts

12 → 444

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

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

simplify382.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-r`
1178×	`times-frac`
1164×	`fma-define`
514×	`*-commutative`
434×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1070	37091
1	2830	35804

Stop Event

1×	node limit

Counts

736 → 588

Calls

Call 1

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

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

eval444.0ms (3.4%)

Compiler: Compiled 16037 to 8787 computations (45.2% saved)

prune132.0ms (1%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	624	17	641
Fresh	10	3	13
Picked	4	1	5
Done	0	2	2
Total	638	23	661

Accuracy

100.0%

Counts

661 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	49.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	98.5%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	98.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	99.3%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
▶	98.9%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	99.0%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)))
	74.3%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	97.1%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (/.f64 (log.f64 im) 1))
	97.3%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
▶	98.6%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	75.4%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
▶	99.3%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
	98.7%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.0%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	74.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	49.4%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 528 to 404 computations (23.5% saved)

localize468.0ms (3.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.4%	(pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))
✓	99.3%	(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.1%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	98.9%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.6%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	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 171 to 58 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

Operation ival-pow, time spent: 168.0ms, 46.0% of total-time

Operation ival-div, time spent: 148.0ms, 41.0% of total-time

Operation ival-log, time spent: 21.0ms, 6.0% of total-time

Operation ival-mult, time spent: 10.0ms, 3.0% of total-time

Operation composed, time spent: 8.0ms, 2.0% of total-time

Operation const, time spent: 3.0ms, 1.0% of total-time

Operation ival-add, time spent: 2.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 1.0% of total-time

series290.0ms (2.2%)

Counts

13 → 380

Calls

96 calls:

Time	Variable		Point	Expression
74.0ms	base	@	inf	(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
38.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
19.0ms	base	@	0	(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
15.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
10.0ms	im	@	inf	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))

rewrite219.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1051×	`log1p-expm1-u`
769×	`expm1-log1p-u`
266×	`associate-r`
234×	`prod-diff`
188×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	378
1	426	366
2	4886	366

Stop Event

1×	node limit

Counts

13 → 394

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

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

simplify1.0s (8%)

Algorithm

1×	egg-herbie

Rules

1030×	`*-commutative`
606×	`+-commutative`
536×	`fma-define`
500×	`associate-*r/`
442×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1610	69837
1	5095	68415

Stop Event

1×	node limit

Counts

774 → 778

Calls

Call 1

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

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

eval1.3s (9.6%)

Compiler: Compiled 47186 to 31353 computations (33.6% saved)

prune257.0ms (2%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	963	6	969
Fresh	5	10	15
Picked	3	2	5
Done	0	3	3
Total	971	21	992

Accuracy

100.0%

Counts

992 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶	99.3%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
	98.5%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.5%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
▶	98.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	99.0%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)))
	97.1%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	53.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.6%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	75.4%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
▶	98.6%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.7%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.0%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	74.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.3%	(cbrt.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3))))

Compiler

Compiled 447 to 347 computations (22.4% saved)

localize216.0ms (1.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	99.7%	(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓	99.6%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
✓	99.7%	(/.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)
✓	99.8%	(/.f64 1 (log.f64 im))
✓	99.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
✓	99.8%	(pow.f64 base (/.f64 1 (log.f64 im)))
✓	99.6%	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
✓	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 154 to 53 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

Operation ival-pow, time spent: 41.0ms, 33.0% of total-time

Operation ival-div, time spent: 27.0ms, 21.0% of total-time

Operation ival-log, time spent: 22.0ms, 18.0% of total-time

Operation composed, time spent: 15.0ms, 12.0% of total-time

Operation ival-mult, time spent: 12.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 2.0% of total-time

Operation ival-add, time spent: 2.0ms, 2.0% of total-time

series518.0ms (4%)

Counts

11 → 268

Calls

72 calls:

Time	Variable		Point	Expression
298.0ms	im	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
30.0ms	im	@	0	(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
21.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
21.0ms	base	@	inf	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))
20.0ms	base	@	0	(log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))

rewrite292.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1151×	`log1p-expm1-u`
304×	`associate-r`
298×	`prod-diff`
222×	`associate-l`
197×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	318
1	499	282
2	5940	282

Stop Event

1×	node limit

Counts

11 → 448

Calls

Call 1

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

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

simplify514.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1652×	`fma-define`
1336×	`times-frac`
792×	`*-commutative`
480×	`distribute-lft-in`
468×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1341	49004
1	3785	47432

Stop Event

1×	node limit

Counts

716 → 596

Calls

Call 1

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

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

eval771.0ms (5.9%)

Compiler: Compiled 37817 to 24637 computations (34.9% saved)

prune412.0ms (3.2%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	874	6	880
Fresh	4	7	11
Picked	2	3	5
Done	1	4	5
Total	881	20	901

Accuracy

100.0%

Counts

901 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2)
	97.3%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.5%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	98.6%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.5%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	75.2%	(/.f64 1 (log.f64 (pow.f64 base (pow.f64 (pow.f64 (log.f64 im) -1/2) 2))))
✓	98.2%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	99.0%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)))
	98.3%	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)))
	53.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.6%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	98.5%	(.f64 (.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
✓	98.6%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.7%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.0%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	74.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))

Compiler

Compiled 774 to 406 computations (47.5% saved)

regimes177.0ms (1.4%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

5 calls:

78.0ms	re
30.0ms	(log.f64 base)
27.0ms	im
24.0ms	base
15.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes27.0ms (0.2%)

Accuracy

Total -0.8b remaining (-99.4%)

Threshold costs -0.8b (-99.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	base
6.0ms	re
5.0ms	(log.f64 base)
5.0ms	im

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`im`
98.7%	1	`base`
98.7%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness255.0ms (2%)

Rules

1840×	`div-sub`
1840×	`div-sub`
1318×	`times-frac`
1318×	`times-frac`
1270×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	185	652
2	308	652
3	589	398
4	1229	350
5	2509	350
6	5970	350
0	86	674
1	185	652
2	308	652
3	589	398
4	1229	350
5	2509	350
6	5970	350

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 632 to 208 computations (67.1% saved)

end0.0ms (0%)

preprocess51.0ms (0.4%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 184 computations (32.4% saved)

analyze247.0ms (1.9%)

sample2.6s (19.9%)

preprocess320.0ms (2.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize109.0ms (0.8%)

series133.0ms (1%)

rewrite269.0ms (2.1%)

simplify269.0ms (2.1%)

eval126.0ms (1%)

prune83.0ms (0.6%)

localize521.0ms (4%)

series412.0ms (3.2%)

rewrite199.0ms (1.5%)

simplify382.0ms (2.9%)

eval444.0ms (3.4%)

prune132.0ms (1%)

localize468.0ms (3.6%)

series290.0ms (2.2%)

rewrite219.0ms (1.7%)

simplify1.0s (8%)

eval1.3s (9.6%)

prune257.0ms (2%)

localize216.0ms (1.7%)

series518.0ms (4%)

rewrite292.0ms (2.3%)

simplify514.0ms (4%)

eval771.0ms (5.9%)

prune412.0ms (3.2%)

regimes177.0ms (1.4%)

regimes27.0ms (0.2%)

simplify2.0ms (0%)

soundness255.0ms (2%)

end0.0ms (0%)

preprocess51.0ms (0.4%)

Profiling