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

analyze251.0ms (2.3%)

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: 156.0ms

Operation ival-mult, time spent: 54.0ms, 35.0% of total-time

Operation ival-log, time spent: 36.0ms, 23.0% of total-time

Operation ival-add, time spent: 26.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 11.0% of total-time

Operation ival-atan2, time spent: 12.0ms, 8.0% of total-time

Operation ival-div, time spent: 8.0ms, 5.0% of total-time

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

sample3.1s (28.2%)

Results

2.7s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

Operation ival-mult, time spent: 701.0ms, 42.0% of total-time

Operation ival-log, time spent: 487.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 166.0ms, 10.0% of total-time

Operation ival-add, time spent: 157.0ms, 9.0% of total-time

Operation ival-atan2, time spent: 91.0ms, 5.0% of total-time

Operation ival-div, time spent: 63.0ms, 4.0% of total-time

Operation const, time spent: 25.0ms, 1.0% of total-time

Bogosity

preprocess338.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1168×	`times-frac`
1024×	`fma-neg`
980×	`associate-*r/`
874×	`distribute-rgt-neg-out`
870×	`associate-*l/`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	1	(1.6737878861257575e-171 6.25052482041337e-159 2.2518507235525528e+196)	`(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	306	652
3	568	398
4	1055	350
5	1803	350
6	5717	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)) (neg.f64 (.f64 (log.f64 base) (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)) (neg.f64 (.f64 (log.f64 base) (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 (hypot.f64 re im)) (/.f64 (log.f64 (neg.f64 base)) (.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 (log.f64 (hypot.f64 re base)) (/.f64 (log.f64 im) (.f64 (log.f64 im) (log.f64 im))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) 1) (log.f64 im))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))

Symmetry

(abs re)

(abs im)

(sort re im)

Results

148.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 277 to 88 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

Operation ival-mult, time spent: 32.0ms, 38.0% of total-time

Operation ival-log, time spent: 20.0ms, 24.0% of total-time

Operation ival-add, time spent: 14.0ms, 17.0% of total-time

Operation ival-atan2, time spent: 6.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 6.0% of total-time

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

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

eval1.0ms (0%)

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

prune3.0ms (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)))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.2%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Compiler

Compiled 54 to 34 computations (37% saved)

localize121.0ms (1.1%)

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))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(.f64 (log.f64 (hypot.f64 re im)) (/.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))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Results

77.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 124 to 19 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

Operation ival-mult, time spent: 14.0ms, 27.0% of total-time

Operation composed, time spent: 13.0ms, 25.0% of total-time

Operation ival-div, time spent: 9.0ms, 18.0% of total-time

Operation ival-log, time spent: 9.0ms, 18.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 4.0% of total-time

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

series119.0ms (1.1%)

Counts

9 → 224

Calls

Call 1

Inputs
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (*.f64 (log.f64 base) (log.f64 base))>
#<alt (.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))>
#<alt (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))>
#<alt (*.f64 (log.f64 base) (log.f64 base))>
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))>
#<alt (/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))>

Outputs
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))>
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#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>

Calls

57 calls:

Time	Variable		Point	Expression
54.0ms	base	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
15.0ms	base	@	-inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
12.0ms	base	@	inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
3.0ms	re	@	inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
2.0ms	re	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite278.0ms (2.6%)

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	3458	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 (hypot.f64 re im)) (/.f64 (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)) (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))
(/.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 (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)) (pow.f64 (log.f64 base) 2))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.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 (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) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.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 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 -1 (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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (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)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 (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)) (pow.f64 (log.f64 base) 2))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.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 (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) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.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 (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 -1 (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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.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)) (/.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))))
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(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 (2.5%)

Algorithm

1×	egg-herbie

Rules

708×	`cube-prod`
678×	`exp-prod`
644×	`associate-r`
556×	`associate-l`
524×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	24696
1	1317	24268
2	4884	24030

Stop Event

1×	node limit

Counts

563 → 350

Calls

Call 1

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

eval129.0ms (1.2%)

Compiler: Compiled 8180 to 4071 computations (50.2% saved)

prune85.0ms (0.8%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	345	23	368
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	347	25	372

Accuracy

100.0%

Counts

372 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.3%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
▶	97.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	99.0%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	98.3%	(/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.1%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.4%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	72.4%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
	99.3%	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
	44.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
	99.2%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	98.8%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
✓	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 (/.f64 1 base))))
	45.9%	(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
▶	98.8%	(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	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 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))))
	99.1%	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	98.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	72.9%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶	48.5%	(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 664 to 486 computations (26.8% saved)

localize212.0ms (1.9%)

Localize:

Found 13 expressions with local error:

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

Results

64.0ms	130×	256	invalid
71.0ms	125×	256	valid
1.0ms	1×	256	invalid

Compiler

Compiled 161 to 39 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

Operation ival-pow, time spent: 24.0ms, 27.0% of total-time

Operation ival-div, time spent: 18.0ms, 20.0% of total-time

Operation ival-log, time spent: 16.0ms, 18.0% of total-time

Operation composed, time spent: 9.0ms, 10.0% of total-time

Operation ival-mult, time spent: 6.0ms, 7.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 7.0% of total-time

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

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

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

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

series404.0ms (3.7%)

Counts

10 → 292

Calls

Call 1

Inputs
#<alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))>
#<alt (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))>
#<alt (exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)>
#<alt (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))>
#<alt (pow.f64 (/.f64 1 (log.f64 base)) 3)>
#<alt (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))>
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))>

Outputs
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))>
#<alt (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2))))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (+.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)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 -1/4 (/.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 1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))>
#<alt (+.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))>
#<alt (+.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.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)))))>
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#<alt (+.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))>
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#<alt (+.f64 (.f64 1/6 (.f64 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/12 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (cbrt.f64 -1) 3) (.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))) (.f64 (pow.f64 im 4) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (log.f64 base))) (+.f64 (.f64 1/216 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (cbrt.f64 -1) 6) (.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (.f64 1/3 (/.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (.f64 1/12 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (cbrt.f64 -1) 3) (.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))))) (.f64 (pow.f64 (cbrt.f64 -1) 3) (log.f64 (/.f64 -1 im))))))) (.f64 (pow.f64 im 6) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))))>
#<alt (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))>
#<alt (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base)))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base)))))>
#<alt (cbrt.f64 (/.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))))))>
#<alt (cbrt.f64 (/.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))))))>
#<alt (cbrt.f64 (/.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))))))>
#<alt (cbrt.f64 (/.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))))))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))>
#<alt (/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))>
#<alt (/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))>
#<alt (/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 re 2) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 re 4) (log.f64 base)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 2) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>

Calls

75 calls:

Time	Variable		Point	Expression
123.0ms	im	@	inf	(/ (log im) (log base))
71.0ms	base	@	0	(pow (/ 1 (log base)) 3)
39.0ms	im	@	0	(/ (log im) (log base))
25.0ms	base	@	-inf	(log (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))
21.0ms	base	@	inf	(log (/ (log (sqrt (+ (* re re) (* im im)))) (log base)))

rewrite216.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`log-prod`
836×	`log1p-expm1-u`
836×	`expm1-log1p-u`
472×	`expm1-undefine`
472×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	273
1	386	267
2	3877	267

Stop Event

1×	node limit

Counts

10 → 517

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

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

simplify496.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1798×	`fma-define`
1132×	`times-frac`
852×	`*-commutative`
584×	`distribute-lft-in`
454×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1524	4295018137
1	3889	4295016922

Stop Event

1×	node limit

Counts

809 → 756

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 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 -1/4 (/.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 1/2 (/.f64 (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 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (.f64 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 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.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 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (.f64 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 (pow.f64 im 2) (-.f64 (.f64 -1 (.f64 (pow.f64 im 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 -1 (.f64 (pow.f64 im 2) (+.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 -1/4 (/.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 1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))) (/.f64 (log.f64 base) (log.f64 re)))
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(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))

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

eval484.0ms (4.4%)

Compiler: Compiled 27424 to 14811 computations (46% saved)

prune291.0ms (2.7%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1007	17	1024
Fresh	17	1	18
Picked	4	1	5
Done	0	2	2
Total	1028	21	1049

Accuracy

100.0%

Counts

1049 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.6%	(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))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	99.1%	(/.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)))
	99.1%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	98.3%	(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))
	72.1%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
	73.5%	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
▶	99.0%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.2%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
▶	98.2%	(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
	99.1%	(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
	98.4%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	72.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	48.2%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 476 to 372 computations (21.8% saved)

localize327.0ms (3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.4%	(pow.f64 im (/.f64 1 (log.f64 base)))
✓	98.8%	(log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	98.9%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	99.6%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.4%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))

Results

220.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 163 to 65 computations (60.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

Operation ival-pow, time spent: 44.0ms, 27.0% of total-time

Operation ival-div, time spent: 41.0ms, 25.0% of total-time

Operation ival-mult, time spent: 26.0ms, 16.0% of total-time

Operation ival-log, time spent: 22.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 7.0% of total-time

Operation composed, time spent: 9.0ms, 6.0% of total-time

Operation const, time spent: 4.0ms, 2.0% 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

series143.0ms (1.3%)

Counts

11 → 300

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))>
#<alt (/.f64 1 (log.f64 (hypot.f64 re im)))>
#<alt (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))>
#<alt (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))>
#<alt (/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))>
#<alt (/.f64 1 (log.f64 (hypot.f64 re im)))>
#<alt (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)>
#<alt (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))>
#<alt (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))>
#<alt (pow.f64 im (/.f64 1 (log.f64 base)))>
#<alt (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))>

Outputs
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 base))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (log.f64 (/.f64 1 base))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.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)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 6) (log.f64 base)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 2) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))>
#<alt (+.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)))))>
#<alt (+.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))))))>
#<alt (+.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)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 4) (log.f64 base)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 re 2) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 1/6 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 6) (log.f64 base)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 re 4) (log.f64 base)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 2) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
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#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (.f64 1/720 (/.f64 (+.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 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))))) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (/.f64 1 (log.f64 (/.f64 -1 re)))))))>
#<alt (/.f64 1 (log.f64 re))>
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#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (+.f64 (.f64 1/720 (/.f64 (+.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 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (log.f64 (/.f64 1 im)))))) (pow.f64 im 6))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (/.f64 1 (log.f64 (/.f64 1 im)))))))>
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#<alt (-.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (/.f64 1 (log.f64 (/.f64 -1 im))))>
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#<alt (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (.f64 1/720 (/.f64 (+.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 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im)))))) (pow.f64 im 6))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (/.f64 1 (log.f64 (/.f64 -1 im)))))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
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#<alt (sqrt.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))>
#<alt (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))>
#<alt (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))>
#<alt (sqrt.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))>
#<alt (sqrt.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))>

Calls

75 calls:

Time	Variable		Point	Expression
22.0ms	im	@	0	(log (sqrt (pow im (/ 1 (log base)))))
21.0ms	base	@	-inf	(log (sqrt (pow im (/ 1 (log base)))))
21.0ms	im	@	-inf	(log (sqrt (pow im (/ 1 (log base)))))
17.0ms	im	@	inf	(log (sqrt (pow im (/ 1 (log base)))))
9.0ms	base	@	0	(log (sqrt (pow im (/ 1 (log base)))))

rewrite204.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`log1p-expm1-u`
928×	`expm1-log1p-u`
238×	`prod-diff`
232×	`associate-r`
162×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	298
1	414	282
2	4627	282

Stop Event

1×	node limit

Counts

11 → 367

Calls

Call 1

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

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

simplify281.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-r`
1212×	`fma-define`
1056×	`times-frac`
616×	`*-commutative`
396×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1122	36331
1	2943	34606

Stop Event

1×	node limit

Counts

667 → 570

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

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

eval948.0ms (8.7%)

Compiler: Compiled 26717 to 16570 computations (38% saved)

prune175.0ms (1.6%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1174	8	1182
Fresh	3	10	13
Picked	3	2	5
Done	0	3	3
Total	1180	23	1203

Accuracy

100.0%

Counts

1203 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
	73.3%	(/.f64 (/.f64 1 (log.f64 base)) (exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
▶	99.2%	(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
▶	99.1%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.9%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	99.1%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
	98.3%	(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))
	72.1%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
✓	99.0%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.0%	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
▶	98.9%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)) (log.f64 im))
	98.9%	(*.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2))) (log.f64 im))
✓	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	98.3%	(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))))
▶	98.4%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	72.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	48.2%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 493 to 393 computations (20.3% saved)

localize252.0ms (2.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.4%	(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)) (log.f64 im))
✓	99.4%	(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))
✓	99.2%	(pow.f64 (log.f64 base) -2)
✓	99.5%	(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.0%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.6%	(/.f64 1 (log.f64 base))
	99.4%	(pow.f64 im (/.f64 1 (log.f64 base)))
✓	99.2%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓	99.6%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
✓	99.5%	(/.f64 (log.f64 base) (log.f64 im))
	99.6%	(/.f64 1 (log.f64 (hypot.f64 re im)))
	99.6%	(/.f64 1 (log.f64 base))
✓	99.6%	(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
✓	99.6%	(/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))

Results

186.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

Operation ival-pow, time spent: 33.0ms, 24.0% of total-time

Operation ival-div, time spent: 32.0ms, 24.0% of total-time

Operation ival-log, time spent: 24.0ms, 18.0% of total-time

Operation composed, time spent: 23.0ms, 17.0% of total-time

Operation ival-mult, time spent: 10.0ms, 7.0% of total-time

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

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

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

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

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

series116.0ms (1.1%)

Counts

10 → 232

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))>
#<alt (/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))>
#<alt (log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (pow.f64 (log.f64 base) -2)>
#<alt (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))>
#<alt (.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)) (log.f64 im))>

Outputs
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (+.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)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 -1/4 (/.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 1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))>
#<alt (+.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))>
#<alt (+.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (log.f64 base)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))>
#<alt (/.f64 (log.f64 base) (log.f64 re))>
#<alt (+.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)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 -1 (.f64 (pow.f64 im 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))) (/.f64 (log.f64 base) (log.f64 re)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 (pow.f64 im 2) (-.f64 (.f64 -1 (.f64 (pow.f64 im 2) (+.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 -1/4 (/.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 1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))) (/.f64 (log.f64 base) (log.f64 re)))>
#<alt (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))>
#<alt (+.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)))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (.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)))))>
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#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) 1)>
#<alt (-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 base) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))>
#<alt (/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))>
#<alt (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 1 (log.f64 base))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 -1 (log.f64 (/.f64 1 base)))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))>

Calls

60 calls:

Time	Variable		Point	Expression
20.0ms	im	@	-inf	(log (pow im (/ 1 (log base))))
19.0ms	im	@	inf	(log (pow im (/ 1 (log base))))
18.0ms	base	@	-inf	(log (pow im (/ 1 (log base))))
17.0ms	im	@	0	(log (pow im (/ 1 (log base))))
7.0ms	base	@	0	(log (pow im (/ 1 (log base))))

rewrite205.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1035×	`log1p-expm1-u`
736×	`expm1-log1p-u`
286×	`prod-diff`
262×	`associate-r`
188×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	248
1	419	218
2	4871	218

Stop Event

1×	node limit

Counts

10 → 463

Calls

Call 1

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

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

simplify325.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-r`
1004×	`fma-define`
922×	`associate-l`
912×	`associate-*r/`
816×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	999	27151
1	2539	26047

Stop Event

1×	node limit

Counts

695 → 539

Calls

Call 1

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

Outputs
(/.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)))
(fma.f64 -1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)) (pow.f64 (log.f64 im) 2)) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 1/2 (/.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re 2) (+.f64 (neg.f64 (.f64 (pow.f64 re 2) (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (.f64 -1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re 2) (fma.f64 (neg.f64 (pow.f64 re 2)) (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (/.f64 (.f64 -1/2 (log.f64 base)) (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 (pow.f64 re 2) (-.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.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 -1/4 (/.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 1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2)))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re 2) (+.f64 (.f64 (pow.f64 re 2) (-.f64 (neg.f64 (.f64 (pow.f64 re 2) (fma.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (log.f64 im) (pow.f64 im 2))) (fma.f64 1/8 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (.f64 1/6 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))))) (.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))))) (.f64 -1/2 (/.f64 (log.f64 base) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 im) 2))))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (pow.f64 re 2) (fma.f64 (pow.f64 re 2) (fma.f64 (neg.f64 (pow.f64 re 2)) (+.f64 (/.f64 (.f64 1/8 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3))))) (.f64 (log.f64 im) (pow.f64 im 2))) (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 2)) (.f64 (/.f64 1/8 (pow.f64 (log.f64 im) 3)) (/.f64 (log.f64 base) (pow.f64 im 6))))) (.f64 1/4 (+.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 3)))))) (/.f64 (.f64 -1/2 (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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))
(/.f64 (log.f64 base) (log.f64 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)))))
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (.f64 -1/2 (.f64 (pow.f64 im 2) (/.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (neg.f64 (log.f64 re)) 2))))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 re) 2))) (/.f64 (log.f64 base) (log.f64 re)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (neg.f64 (/.f64 (fma.f64 -1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 2))) (.f64 1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))))) (pow.f64 re 4)))) (.f64 -1/2 (.f64 (pow.f64 im 2) (/.f64 (log.f64 base) (.f64 (pow.f64 re 2) (pow.f64 (neg.f64 (log.f64 re)) 2))))))
(+.f64 (-.f64 (/.f64 (log.f64 base) (log.f64 re)) (/.f64 (fma.f64 1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (pow.f64 re 4))) (.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 re) 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (.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 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 4) (log.f64 base)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (.f64 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 (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (neg.f64 (/.f64 (fma.f64 -1/8 (.f64 (pow.f64 im 6) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/720 (/.f64 (.f64 (log.f64 base) (.f64 (pow.f64 im 6) 120)) (pow.f64 (neg.f64 (log.f64 re)) 2)) (.f64 1/2 (.f64 (pow.f64 im 2) (/.f64 (fma.f64 -1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 2))) (.f64 1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))))) (neg.f64 (log.f64 re))))))) (pow.f64 re 6)))) (fma.f64 -1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 re 4)))) (fma.f64 1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 re 4)))) (.f64 1/2 (.f64 (pow.f64 im 2) (/.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (neg.f64 (log.f64 re)) 2))))))))
(-.f64 (-.f64 (/.f64 (log.f64 base) (log.f64 re)) (/.f64 (fma.f64 -1/8 (.f64 (pow.f64 im 6) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (fma.f64 1/2 (.f64 (pow.f64 im 2) (/.f64 (fma.f64 1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3))) (/.f64 (.f64 -1/4 (.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (log.f64 re) 2))) (neg.f64 (log.f64 re)))) (.f64 (log.f64 base) (.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 (log.f64 re) 2)) 1/720)))) (pow.f64 re 6))) (fma.f64 -1/4 (.f64 (pow.f64 im 4) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (fma.f64 1/2 (.f64 (/.f64 (log.f64 base) (pow.f64 re 2)) (/.f64 (pow.f64 im 2) (pow.f64 (log.f64 re) 2))) (.f64 (pow.f64 im 4) (.f64 (/.f64 (log.f64 base) (.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 re 4))) 1/4)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
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(fma.f64 1 (pow.f64 im (/.f64 1 (log.f64 base))) -1)
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 im 2) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) -1)
(fma.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) -1)
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) -3))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (/.f64 1 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 base)) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 base) 2))
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) -4))
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) -4))
(*.f64 (pow.f64 (log.f64 base) -3) (log.f64 base))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(.f64 (pow.f64 (log.f64 base) -1/2) (.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(pow.f64 (sqrt.f64 (log.f64 base)) -4)
(.f64 (.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(.f64 (.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(.f64 (.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 base)) (cbrt.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 -1 (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 -1 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 base)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (.f64 (.f64 -2 (log.f64 (log.f64 base))) 1))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (log.f64 base) -1)
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) -3))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(/.f64 1 (log.f64 base))
(neg.f64 (/.f64 -1 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(fabs.f64 (/.f64 1 (log.f64 base)))
(/.f64 1 (fabs.f64 (log.f64 base)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 base) -3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(/.f64 1 (log.f64 base))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(/.f64 1 (log.f64 base))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 im 2) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 -1 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))
(/.f64 (log.f64 im) (log.f64 base))

eval416.0ms (3.8%)

Compiler: Compiled 20364 to 12124 computations (40.5% saved)

prune191.0ms (1.8%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	918	7	925
Fresh	5	8	13
Picked	3	2	5
Done	0	5	5
Total	926	22	948

Accuracy

100.0%

Counts

948 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.1%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.6%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	99.0%	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	98.9%	(/.f64 1 (/.f64 (/.f64 1 (log.f64 im)) (/.f64 1 (log.f64 base))))
✓	99.1%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	98.9%	(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
	98.2%	(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
	98.8%	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
	98.0%	(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))))
✓	99.0%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.0%	(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
	98.8%	(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 base)) (log.f64 im))
	98.7%	(.f64 (.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base)) (log.f64 im))
✓	99.3%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
	98.3%	(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))))
	97.9%	(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
✓	98.6%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	72.6%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
	48.2%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	98.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))

Compiler

Compiled 899 to 486 computations (45.9% saved)

regimes128.0ms (1.2%)

Counts

60 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(/.f64 1 (/.f64 (/.f64 1 (log.f64 im)) (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))
(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (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 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 (/.f64 1 base))))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(.f64 (.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)) (log.f64 im))
(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (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 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2))) (log.f64 im))
(.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (log.f64 base)) (log.f64 im))
(.f64 (.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (log.f64 base)) (log.f64 im))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))
(.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)) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))
(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))

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

Calls

5 calls:

28.0ms	im
27.0ms	(log.f64 base)
27.0ms	re
27.0ms	base
17.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

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

Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes27.0ms (0.2%)

Accuracy

Total -0.7b remaining (-116.7%)

Threshold costs -0.7b (-116.7%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	im
7.0ms	(log.f64 base)
6.0ms	re
6.0ms	base

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`base`
99.1%	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)

soundness285.0ms (2.6%)

Rules

1168×	`times-frac`
1024×	`fma-neg`
980×	`associate-*r/`
874×	`distribute-rgt-neg-out`
870×	`associate-*l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	674
1	185	652
2	306	652
3	568	398
4	1055	350
5	1803	350
6	5717	350

Stop Event

1×	node limit

Compiler

Compiled 326 to 128 computations (60.7% saved)

end0.0ms (0%)

preprocess98.0ms (0.9%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 184 computations (32.4% saved)

analyze251.0ms (2.3%)

sample3.1s (28.2%)

preprocess338.0ms (3.1%)

eval1.0ms (0%)

prune3.0ms (0%)

localize121.0ms (1.1%)

series119.0ms (1.1%)

rewrite278.0ms (2.6%)

simplify269.0ms (2.5%)

eval129.0ms (1.2%)

prune85.0ms (0.8%)

localize212.0ms (1.9%)

series404.0ms (3.7%)

rewrite216.0ms (2%)

simplify496.0ms (4.6%)

eval484.0ms (4.4%)

prune291.0ms (2.7%)

localize327.0ms (3%)

series143.0ms (1.3%)

rewrite204.0ms (1.9%)

simplify281.0ms (2.6%)

eval948.0ms (8.7%)

prune175.0ms (1.6%)

localize252.0ms (2.3%)

series116.0ms (1.1%)

rewrite205.0ms (1.9%)

simplify325.0ms (3%)

eval416.0ms (3.8%)

prune191.0ms (1.8%)

regimes128.0ms (1.2%)

regimes27.0ms (0.2%)

simplify2.0ms (0%)

soundness285.0ms (2.6%)

end0.0ms (0%)

preprocess98.0ms (0.9%)

Profiling