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

analyze316.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	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: 223.0ms

Operation ival-mult, time spent: 74.0ms, 33.0% of total-time

Operation ival-log, time spent: 57.0ms, 26.0% of total-time

Operation ival-div, time spent: 45.0ms, 20.0% of total-time

Operation ival-add, time spent: 19.0ms, 9.0% of total-time

Operation ival-atan2, time spent: 15.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 4.0% of total-time

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

sample2.1s (21.4%)

Results

2.0s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-mult, time spent: 331.0ms, 28.0% of total-time

Operation ival-log, time spent: 307.0ms, 26.0% of total-time

Operation ival-add, time spent: 221.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 130.0ms, 11.0% of total-time

Operation ival-atan2, time spent: 91.0ms, 8.0% of total-time

Operation ival-div, time spent: 61.0ms, 5.0% of total-time

Operation const, time spent: 23.0ms, 2.0% of total-time

Bogosity

preprocess405.0ms (4%)

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	Example	Subexpression
127	-	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	-	`0`
0	-	-	`(log.f64 base)`
0	-	-	`(*.f64 0 0)`
0	-	-	`(*.f64 re re)`
0	-	-	`(atan2.f64 im re)`
0	-	-	`im`
0	-	-	`(*.f64 (atan2.f64 im re) 0)`
0	-	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0))`
0	-	-	`re`
0	-	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 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	-	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	-	`(*.f64 im im)`
0	-	-	`base`
0	-	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	114	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	114
↳	`(*.f64 re re)`	overflow	13
↳	`(*.f64 im im)`	overflow	114
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	13	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	13
↳	`(*.f64 re re)`	underflow	107
↳	`(*.f64 im im)`	underflow	13

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

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)

Compiler

Compiled 308 to 108 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

Operation ival-mult, time spent: 25.0ms, 33.0% of total-time

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

Operation ival-add, time spent: 14.0ms, 19.0% of total-time

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

Operation const, time spent: 5.0ms, 7.0% of total-time

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	99.3%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Compiler

Compiled 54 to 34 computations (37% saved)

localize112.0ms (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))
✓	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.5%	(.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	99.3%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	99.6%	(/.f64 1 (log.f64 base))
✓	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

Compiler

Compiled 124 to 19 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-mult, time spent: 11.0ms, 25.0% of total-time

Operation ival-log, time spent: 10.0ms, 23.0% of total-time

Operation composed, time spent: 9.0ms, 21.0% of total-time

Operation ival-div, time spent: 9.0ms, 21.0% of total-time

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

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

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

series127.0ms (1.3%)

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 base) (*.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 (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)))>
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#<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

57 calls:

Time	Variable		Point	Expression
53.0ms	base	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
13.0ms	base	@	-inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
11.0ms	base	@	inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
5.0ms	base	@	-inf	(* (log base) (log base))
4.0ms	im	@	-inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite396.0ms (3.9%)

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 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)) (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))))
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(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))

simplify284.0ms (2.8%)

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

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (.f64 (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)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 base)))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 base))))))
(fma.f64 -1 (/.f64 (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)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))) (fma.f64 1/720 (/.f64 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 base)) (pow.f64 im 6)) (*.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 (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))
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(/.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 (1.3%)

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

prune82.0ms (0.8%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	349	19	368
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	351	21	372

Accuracy

100.0%

Counts

372 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
	97.9%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
	47.2%	(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.5%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	99.2%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
	99.3%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	98.0%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
▶	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	99.3%	(*.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))))
✓	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
▶	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 (/.f64 1 base))))
	48.2%	(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	46.8%	(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
▶	97.5%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))

Compiler

Compiled 538 to 388 computations (27.9% saved)

localize305.0ms (3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
✓	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2))
✓	99.5%	(pow.f64 (log.f64 base) 2)
✓	99.9%	(sqrt.f64 (log.f64 base))
✓	99.7%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	99.6%	(pow.f64 (sqrt.f64 (log.f64 base)) -2)
✓	99.7%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.6%	(expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.8%	(/.f64 -1 (log.f64 (/.f64 1 base)))
✓	99.7%	(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 -1 (log.f64 (/.f64 1 base))))

Compiler

Compiled 156 to 47 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

Operation ival-div, time spent: 102.0ms, 51.0% of total-time

Operation ival-log, time spent: 29.0ms, 14.0% of total-time

Operation ival-pow, time spent: 24.0ms, 12.0% of total-time

Operation composed, time spent: 23.0ms, 11.0% of total-time

Operation ival-mult, time spent: 9.0ms, 4.0% of total-time

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

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

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

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

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

series201.0ms (2%)

Counts

11 → 268

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
105.0ms	im	@	0	(/ (log im) (log base))
14.0ms	base	@	0	(/ (log im) (log base))
9.0ms	im	@	inf	(/ (log im) (log base))
8.0ms	base	@	-inf	(* (log (sqrt (+ (* re re) (* im im)))) (/ -1 (log (/ 1 base))))
7.0ms	im	@	-inf	(/ (log im) (log base))

rewrite179.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`log1p-expm1-u`
456×	`expm1-log1p-u`
304×	`prod-diff`
302×	`associate-r`
216×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	322
1	438	284
2	5648	284

Stop Event

1×	node limit

Counts

11 → 329

Calls

Call 1

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

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

simplify557.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`fma-define`
950×	`associate-/r*`
736×	`associate-r`
712×	`*-commutative`
678×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	954	31691
1	2398	30477
2	7996	30469

Stop Event

1×	node limit

Counts

597 → 610

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) (.f64 (pow.f64 re 2) (-.f64 (.f64 1/4 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) (.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 (/.f64 1 base))))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))))))
(/.f64 (log.f64 (/.f64 1 re)) (log.f64 (/.f64 1 base)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 (/.f64 1 base)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 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 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 (/.f64 1 base))))))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 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 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))))))
(*.f64 -1 (/.f64 (log.f64 re) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 (/.f64 1 base)))) (.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 (/.f64 1 base)))) (.f64 (pow.f64 im 2) (-.f64 (.f64 1/4 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 (/.f64 1 base)))) (.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 (/.f64 1 base))))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 re 4) (log.f64 (/.f64 1 base))))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 re 2) (log.f64 (/.f64 1 base))))))))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 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 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base))))))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 (/.f64 1 base)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 (/.f64 1 base))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 (/.f64 1 base)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (pow.f64 im 2) (log.f64 (/.f64 1 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 (/.f64 1 base))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 base))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 (/.f64 1 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 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (log.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 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (pow.f64 im 2) (log.f64 base))))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (log.f64 base)))))))))) 1)
(-.f64 (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (log.f64 base))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))))))))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) 1)
(-.f64 (+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base))))) 1)
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(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 -1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(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 1 (/.f64 -1 (log.f64 base)))
(*.f64 (/.f64 -1 (log.f64 base)) -1)
(*.f64 (/.f64 -1 (log.f64 base)) 1)
(*.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 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) -2))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 1/4) -2) (pow.f64 (pow.f64 (log.f64 base) 1/4) -2))
(/.f64 -1 (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 (/.f64 -1 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(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))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (log.f64 base))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 -1 (log.f64 base)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) 1/2)
(pow.f64 (sqrt.f64 (log.f64 base)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) 1))
(-.f64 0 (pow.f64 (log.f64 base) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 -1 (pow.f64 (log.f64 base) 2))
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 3/2))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (pow.f64 (log.f64 base) 3/2) (sqrt.f64 (log.f64 base)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(.f64 (.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(neg.f64 (pow.f64 (log.f64 base) 2))
(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))))
(log.f64 (/.f64 1 (pow.f64 base (log.f64 base))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 base))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))
(.f64 1 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(.f64 (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -2)) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2)))) 1)
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.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)) (log.f64 base)) (log.f64 base))
(/.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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 2))
(log.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (log.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) -2))) 1))

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

eval412.0ms (4.1%)

Compiler: Compiled 16045 to 8758 computations (45.4% saved)

prune238.0ms (2.4%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	650	14	664
Fresh	7	7	14
Picked	2	3	5
Done	1	1	2
Total	660	25	685

Accuracy

100.0%

Counts

685 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	98.7%	(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
	48.2%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	97.3%	(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
▶	98.5%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	98.7%	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	97.2%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
▶	73.4%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
▶	98.7%	(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	98.0%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	48.2%	(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	46.8%	(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.6%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
✓	97.5%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	99.0%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
	48.3%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶	98.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
	98.3%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 565 to 428 computations (24.2% saved)

localize248.0ms (2.5%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (log.f64 im))
✓	99.6%	(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
✓	99.5%	(/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))
✓	99.6%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.6%	(*.f64 (log.f64 im) (log.f64 base))
	99.4%	(*.f64 (log.f64 base) (log.f64 base))
	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	99.2%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.7%	(/.f64 -1 (log.f64 base))
✓	99.7%	(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
	99.7%	(/.f64 1 (log.f64 base))
✓	99.5%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
✓	99.4%	(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

Operation ival-pow, time spent: 30.0ms, 32.0% of total-time

Operation ival-div, time spent: 15.0ms, 16.0% of total-time

Operation ival-mult, time spent: 15.0ms, 16.0% of total-time

Operation ival-log, time spent: 13.0ms, 14.0% of total-time

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

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

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

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

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

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

series168.0ms (1.7%)

Counts

11 → 256

Calls

Call 1

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

Outputs
#<alt (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (pow.f64 im 2) (log.f64 base)))))>
#<alt (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (log.f64 base))))))))))>
#<alt (+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (log.f64 base))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))))))))))>
#<alt (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))>
#<alt (+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base)))))>
#<alt (+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4))))>
#<alt (+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 re 6)))))>
#<alt (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))>
#<alt (+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base)))))>
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#<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 (sqrt.f64 (log.f64 (/.f64 1 im))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 im))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 im))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 im))) (sqrt.f64 -1))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))))>

Calls

66 calls:

Time	Variable		Point	Expression
77.0ms	base	@	-inf	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
23.0ms	base	@	0	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
19.0ms	base	@	inf	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
2.0ms	im	@	-inf	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
2.0ms	re	@	inf	(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))

rewrite227.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1001×	`log1p-expm1-u`
338×	`associate-r`
299×	`expm1-log1p-u`
294×	`prod-diff`
238×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	291
1	467	245
2	5827	245

Stop Event

1×	node limit

Counts

11 → 452

Calls

Call 1

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

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

simplify255.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-r`
1266×	`associate-l`
836×	`fma-define`
670×	`associate-*r/`
648×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	937	28842
1	2292	28082

Stop Event

1×	node limit

Counts

708 → 543

Calls

Call 1

Inputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (pow.f64 im 2) (log.f64 base)))))
(+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 im 4) (log.f64 base))))))))))
(+.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (pow.f64 im 2) (log.f64 base)))) (.f64 (pow.f64 re 2) (+.f64 (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 im 4) (log.f64 base)))))) (.f64 (pow.f64 re 2) (.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 im 6) (log.f64 base))))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))))))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 re 6)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (*.f64 (pow.f64 re 2) (log.f64 base)))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4))))
(+.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))) (.f64 (pow.f64 re 2) (log.f64 base)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 4)) (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))) (log.f64 base))) (.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))))) (pow.f64 re 6)))))
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(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) -1)
(neg.f64 (/.f64 (sqrt.f64 (log.f64 im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (log.f64 base)))
(sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3/2) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) 1))
(-.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(-.f64 (/.f64 0 (neg.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) 1) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(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) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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 (sqrt.f64 (log.f64 im)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (sqrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 im) 1/4) (pow.f64 (log.f64 im) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 im)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 im)))
(pow.f64 (log.f64 im) 1/2)
(pow.f64 (sqrt.f64 (log.f64 im)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 im))) 3)
(pow.f64 (pow.f64 (log.f64 im) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 im) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 im)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 im))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 im)))))
(cbrt.f64 (pow.f64 (log.f64 im) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 im))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 im))) 1))

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

eval269.0ms (2.7%)

Compiler: Compiled 15346 to 8137 computations (47% saved)

prune144.0ms (1.4%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	687	7	694
Fresh	3	13	16
Picked	4	1	5
Done	0	4	4
Total	694	25	719

Accuracy

100.0%

Counts

719 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	48.2%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	97.4%	(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
	98.5%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	98.7%	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	98.6%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
	98.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
▶	98.7%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	98.0%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
✓	47.2%	(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	48.2%	(*.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
	46.8%	(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.6%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	98.7%	(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
✓	97.5%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶	48.3%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓	98.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
▶	98.3%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 548 to 421 computations (23.2% saved)

localize377.0ms (3.8%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
✓	99.6%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
✓	99.4%	(pow.f64 (log.f64 im) 3)
✓	99.4%	(pow.f64 (log.f64 base) 3)
✓	99.7%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	99.7%	(/.f64 (log.f64 im) (log.f64 base))
	99.5%	(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
✓	99.8%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	99.5%	(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
	99.8%	(/.f64 1 (log.f64 base))
✓	99.8%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	99.6%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓	99.5%	(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)

Compiler

Compiled 148 to 48 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

Operation composed, time spent: 138.0ms, 36.0% of total-time

Operation ival-mult, time spent: 135.0ms, 35.0% of total-time

Operation ival-pow, time spent: 59.0ms, 15.0% of total-time

Operation ival-log, time spent: 30.0ms, 8.0% of total-time

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

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

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

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

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

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

series415.0ms (4.1%)

Counts

10 → 216

Calls

Call 1

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

Outputs
#<alt (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3))))) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 im) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (log.f64 im) (+.f64 (.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (.f64 1/4 (/.f64 1 (pow.f64 im 4))))) (pow.f64 (log.f64 base) 3))))) (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 im) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 -1/4 (/.f64 (log.f64 im) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (.f64 1/4 (/.f64 1 (pow.f64 im 4)))) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (log.f64 im) (-.f64 (.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (.f64 1/4 (/.f64 1 (pow.f64 im 6))))) (pow.f64 (log.f64 base) 3)))))) (/.f64 (.f64 (log.f64 im) (+.f64 (.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (.f64 1/4 (/.f64 1 (pow.f64 im 4))))) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 im) 2) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))))>
#<alt (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 re)))))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 re))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3))))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (+.f64 (.f64 -1/4 (pow.f64 im 6)) (.f64 -1/360 (.f64 (log.f64 (/.f64 1 re)) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))))))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 re)) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 re)))))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 re))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 6) (log.f64 (/.f64 1 re))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 1 re)))))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3))))))))))))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))))>
#<alt (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 -1 re)))))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 4) (log.f64 (/.f64 -1 re))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3))))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (+.f64 (.f64 -1/4 (pow.f64 im 6)) (.f64 -1/360 (.f64 (log.f64 (/.f64 -1 re)) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6))))))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 -1 re)) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 -1 re)))))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 im 4) (log.f64 (/.f64 -1 re))) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (+.f64 (.f64 30 (pow.f64 im 6)) (.f64 90 (pow.f64 im 6)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 im 6) (log.f64 (/.f64 -1 re))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 1/2 (.f64 (pow.f64 im 4) (log.f64 (/.f64 -1 re)))))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3))))))))))))>
#<alt (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3))))) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 re) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (log.f64 re) (+.f64 (.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4))) (.f64 1/4 (/.f64 1 (pow.f64 re 4))))) (pow.f64 (log.f64 base) 3))))) (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 re) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 -1/4 (/.f64 (log.f64 re) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4))) (.f64 1/4 (/.f64 1 (pow.f64 re 4)))) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (log.f64 re) (-.f64 (.f64 1/3 (/.f64 (log.f64 re) (pow.f64 re 6))) (.f64 1/4 (/.f64 1 (pow.f64 re 6))))) (pow.f64 (log.f64 base) 3)))))) (/.f64 (.f64 (log.f64 re) (+.f64 (.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4))) (.f64 1/4 (/.f64 1 (pow.f64 re 4))))) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 re) 2) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))) (/.f64 (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (.f64 (pow.f64 im 2) (pow.f64 (log.f64 base) 3)))))>
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#<alt (log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))>
#<alt (log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))>
#<alt (log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))>
#<alt (log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))>
#<alt (log.f64 (/.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))>
#<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))>
#<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 -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 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))>
#<alt (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3)>
#<alt (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3)>
#<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))>
#<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 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3)))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3) (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3) (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3) (pow.f64 (log.f64 base) 3))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 im)))) 3) (pow.f64 (log.f64 base) 3))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))>
#<alt (*.f64 -1 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))>
#<alt (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>
#<alt (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))>

Calls

60 calls:

Time	Variable		Point	Expression
296.0ms	im	@	-inf	(log (/ (log im) (log base)))
20.0ms	base	@	-inf	(log (/ (log im) (log base)))
18.0ms	im	@	inf	(log (/ (log im) (log base)))
17.0ms	im	@	0	(log (/ (log im) (log base)))
12.0ms	base	@	0	(log (/ (log im) (log base)))

rewrite284.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`log1p-expm1-u`
933×	`expm1-log1p-u`
492×	`log1p-undefine`
276×	`prod-diff`
230×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	230
1	423	230
2	4275	230

Stop Event

1×	node limit

Counts

10 → 426

Calls

Call 1

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

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

simplify235.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1606×	`times-frac`
1370×	`fma-define`
764×	`associate-+r+`
736×	`associate-*r/`
562×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1035	27980
1	2889	26571

Stop Event

1×	node limit

Counts

642 → 500

Calls

Call 1

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

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

eval464.0ms (4.6%)

Compiler: Compiled 18687 to 10312 computations (44.8% saved)

prune165.0ms (1.6%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	849	7	856
Fresh	4	11	15
Picked	0	5	5
Done	1	4	5
Total	854	27	881

Accuracy

100.0%

Counts

881 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
	48.2%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
	97.2%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
	98.5%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	99.3%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	98.7%	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
✓	98.7%	(/.f64 (log.f64 im) (log.f64 base))
	98.6%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
	98.3%	(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 im)) 3)) (neg.f64 (log.f64 base)))
	98.7%	(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
	46.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
	97.3%	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 im))
	46.9%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓	98.7%	(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
	47.9%	(*.f64 (sqrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im))
	46.8%	(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.6%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
	46.5%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
	98.7%	(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
✓	97.5%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
	96.8%	(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
	98.4%	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
	13.0%	(exp.f64 (-.f64 (log.f64 (neg.f64 (log.f64 im))) (log.f64 (neg.f64 (log.f64 base)))))
✓	48.3%	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓	99.0%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓	98.3%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
✓	98.3%	(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))

Compiler

Compiled 843 to 452 computations (46.4% saved)

regimes125.0ms (1.2%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	base
25.0ms	re
25.0ms	im
22.0ms	(log.f64 base)
13.0ms	(/.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)

regimes28.0ms (0.3%)

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes27.0ms (0.3%)

Counts

8 → 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 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)

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

Calls

4 calls:

9.0ms	(log.f64 base)
7.0ms	re
5.0ms	im
5.0ms	base

Results

Accuracy	Segments	Branch
99.3%	1	`re`
99.3%	1	`im`
99.3%	1	`base`
99.3%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes20.0ms (0.2%)

Counts

6 → 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 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base)))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

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

Calls

4 calls:

6.0ms	base
5.0ms	re
4.0ms	(log.f64 base)
4.0ms	im

Results

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	im
3.0ms	(log.f64 base)
2.0ms	base
2.0ms	re

Results

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
1	33	156

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 54 to 41 computations (24.1% saved)

soundness592.0ms (5.9%)

Rules

1168×	`times-frac`
1024×	`fma-neg`
1001×	`log1p-expm1-u`
980×	`associate-*r/`
968×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	291
1	467	245
2	5827	245
0	32	322
1	438	284
2	5648	284
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
1×	node limit
1×	node limit

Compiler

Compiled 390 to 155 computations (60.3% saved)

end0.0ms (0%)

preprocess76.0ms (0.8%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 650 to 478 computations (26.5% saved)

analyze316.0ms (3.2%)

sample2.1s (21.4%)

preprocess405.0ms (4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize112.0ms (1.1%)

series127.0ms (1.3%)

rewrite396.0ms (3.9%)

simplify284.0ms (2.8%)

eval129.0ms (1.3%)

prune82.0ms (0.8%)

localize305.0ms (3%)

series201.0ms (2%)

rewrite179.0ms (1.8%)

simplify557.0ms (5.6%)

eval412.0ms (4.1%)

prune238.0ms (2.4%)

localize248.0ms (2.5%)

series168.0ms (1.7%)

rewrite227.0ms (2.3%)

simplify255.0ms (2.5%)

eval269.0ms (2.7%)

prune144.0ms (1.4%)

localize377.0ms (3.8%)

series415.0ms (4.1%)

rewrite284.0ms (2.8%)

simplify235.0ms (2.3%)

eval464.0ms (4.6%)

prune165.0ms (1.6%)

regimes125.0ms (1.2%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

simplify4.0ms (0%)

soundness592.0ms (5.9%)

end0.0ms (0%)

preprocess76.0ms (0.8%)

Profiling