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

start0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze130.0ms (5.2%)

Memory

-1.5MiB live, 38.3MiB allocated; 1ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
0.0%	0.0%	49.9%	0.1%	0.0%	49.9%	0.0%	4
0.0%	0.0%	49.9%	0.1%	0.0%	49.9%	0.0%	5
0.0%	0.0%	49.9%	0.1%	0.0%	49.9%	0.0%	6
9.4%	4.7%	45.2%	0.1%	0.0%	49.9%	0.0%	7
17.2%	8.6%	41.3%	0.1%	0.0%	49.9%	0.0%	8
27.3%	13.7%	36.3%	0.1%	0.0%	49.9%	0.0%	9
41.0%	20.5%	29.4%	0.1%	0.0%	49.9%	0.0%	10
48.6%	24.3%	25.6%	0.1%	0.0%	49.9%	0.0%	11
57.1%	28.5%	21.4%	0.1%	0.0%	49.9%	0.0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample987.0ms (39.6%)

Memory

17.3MiB live, 307.7MiB allocated; 27ms collecting garbage

Samples

724.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 504.0ms

ival-log: 158.0ms (31.4% of total)

ival-hypot: 116.0ms (23.0% of total)

ival-mult!: 87.0ms (17.3% of total)

ival-atan2: 70.0ms (13.9% of total)

ival-div!: 28.0ms (5.6% of total)

ival-sub!: 23.0ms (4.6% of total)

ival-add!: 18.0ms (3.6% of total)

adjust: 5.0ms (1.0% of total)

Bogosity

preprocess49.0ms (2.0%)

Memory

0.6MiB live, 8.1MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	141
1	349	121
2	1591	121

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

51.9%

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Compiler

Compiled 56 to 36 computations (35.7% saved)

series84.0ms (3.4%)

Memory

-2.1MiB live, 65.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1726

Stop Event

1×	iter-limit

Counts

18 → 64

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (atan2 im re) (log base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (atan2 im re) (log base)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))

Calls

9 calls:

Time	Variable	Point
26.0ms	re	0
11.0ms	base	0
9.0ms	im	0
7.0ms	base	inf
7.0ms	base	-inf

rewrite146.0ms (5.9%)

Memory

-6.2MiB live, 33.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	74
1	149	72
2	529	67
3	3883	67
0	4004	67

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

18 → 504

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
im
re
(atan2.f64 im re)
base
(neg.f64 (neg.f64 (log.f64 base)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(log.f64 base)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 0 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (log.f64 base) (-.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (atan2.f64 im re))))))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (fabs.f64 (log.f64 base)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) #s(literal 0 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (fabs.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) #s(literal 0 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(neg.f64 (.f64 (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(-.f64 (+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))))
(log.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (.f64 (.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 re) re) (.f64 im im))) (.f64 im im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (.f64 im im))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 im) im) (.f64 re re))) (.f64 re re))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))
(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(pow.f64 (.f64 (+.f64 (.f64 im im) (.f64 re re)) (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) #s(literal 2 binary64))
(pow.f64 (+.f64 (.f64 im im) (.f64 re re)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (neg.f64 re) re) (.f64 (neg.f64 re) re))) (+.f64 (.f64 im im) (.f64 (neg.f64 re) re)))
(/.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im im) (.f64 im im)) (+.f64 (.f64 (.f64 (neg.f64 re) re) (.f64 (neg.f64 re) re)) (.f64 (.f64 im im) (*.f64 (neg.f64 re) re)))))
(/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) im))) (+.f64 (.f64 re re) (.f64 (neg.f64 im) im)))
(/.f64 (+.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (*.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 re re) (.f64 re re)) (+.f64 (.f64 (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) im)) (.f64 (.f64 re re) (*.f64 (neg.f64 im) im)))))
(/.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (+.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 im im) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 re re) (.f64 re re)) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (*.f64 im im)))))
(neg.f64 (+.f64 (.f64 (neg.f64 re) re) (.f64 (neg.f64 im) im)))
(neg.f64 (-.f64 (.f64 (neg.f64 re) re) (.f64 im im)))
(neg.f64 (-.f64 (.f64 (neg.f64 im) im) (.f64 re re)))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (+.f64 (.f64 im im) (.f64 re re)) (+.f64 (.f64 im im) (*.f64 re re))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(fabs.f64 (.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
(fabs.f64 (+.f64 (.f64 im im) (.f64 re re)))
(+.f64 (.f64 im im) (.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(.f64 (pow.f64 (+.f64 (.f64 im im) (.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (+.f64 (.f64 im im) (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (+.f64 (.f64 im im) (.f64 re re)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))))
(fabs.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))))
(log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 0 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (log.f64 base) (-.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (atan2.f64 im re) (.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
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(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (-.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (copysign.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (-.f64 (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))

eval37.0ms (1.5%)

Memory: 1.5MiB live, 32.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 13 006 to 1 953 computations (85.0% saved)

prune10.0ms (0.4%)

Memory

4.9MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	436	18	454
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	437	18	455

Accuracy

100.0%

Counts

455 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.2%	(/.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (log.f64 base))
	83.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))))
	43.5%	(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	51.9%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	51.7%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.3%	(/.f64 (-.f64 (.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
▶	99.1%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))

Compiler

Compiled 760 to 180 computations (76.3% saved)

series57.0ms (2.3%)

Memory

1.2MiB live, 48.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1796

Stop Event

1×	iter-limit

Counts

32 → 72

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
#s(literal -2 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (* (log base) (atan2 im re)) (log base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (pow (log base) 2) (log base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (* (log base) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (atan2 im re) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (pow (log base) 2) (log base)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))

Calls

9 calls:

Time	Variable	Point
8.0ms	base	0
8.0ms	re	0
8.0ms	im	0
8.0ms	base	-inf
8.0ms	base	inf

rewrite142.0ms (5.7%)

Memory

-11.5MiB live, 76.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	229
0	59	160
1	256	150
2	1013	146
0	4465	146

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

32 → 1 773

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
#s(literal -2 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
im
re
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal -1 binary64)))
(/.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal -1 binary64)))
(neg.f64 (*.f64 re (neg.f64 re)))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (.f64 (.f64 re re) (*.f64 re re)))
(fabs.f64 (*.f64 re (neg.f64 re)))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (.f64 im im))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 im) im) (.f64 re re))) (.f64 re re))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))
(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
(pow.f64 (.f64 (+.f64 (.f64 im im) (.f64 re re)) (+.f64 (.f64 im im) (*.f64 re re))) #s(literal 1/2 binary64))
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(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (neg.f64 (log.f64 base)))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (.f64 (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(neg.f64 (.f64 (neg.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))

eval74.0ms (3.0%)

Memory: 7.3MiB live, 74.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 36 250 to 3 889 computations (89.3% saved)

prune18.0ms (0.7%)

Memory

-0.9MiB live, 24.1MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 051	14	1 065
Fresh	11	2	13
Picked	2	3	5
Done	0	0	0
Total	1 064	19	1 083

Accuracy

100.0%

Counts

1 083 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
	98.9%	(/.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.0%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.3%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
▶	50.0%	(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
▶	99.3%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
▶	99.3%	(.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))

Compiler

Compiled 539 to 135 computations (75.0% saved)

series88.0ms (3.5%)

Memory

3.4MiB live, 73.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	309

Stop Event

1×	iter-limit

Counts

25 → 27

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(literal -3 binary64)
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (log base) (atan2 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ 1 (/ (log base) (atan2 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) -3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx im im)
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (/ 1 (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (log (log base)) -1) (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base))))
#s(approx (exp (* (log (log base)) -1)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (pow (log base) -3) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ 1 (/ (log base) (atan2 im re))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ 1 (pow (log base) 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (log (log base)) -1) (.f64 #s(literal -1 binary64) (log.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
#s(approx (exp (* (log (log base)) -1)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (pow (log base) -3) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) -3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))

Calls

9 calls:

Time	Variable	Point
23.0ms	base	0
20.0ms	base	inf
18.0ms	base	-inf
9.0ms	im	0
8.0ms	re	0

rewrite99.0ms (4.0%)

Memory

-2.6MiB live, 43.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	43	96
1	124	95
2	483	92
3	3810	92
0	4037	92

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 1 420

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(literal -3 binary64)
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))

Outputs
im
re
(.f64 (.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
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(neg.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) (.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (atan2.f64 im re)))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) (.f64 (neg.f64 (atan2.f64 im re)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) (neg.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re))) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re))))
(+.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))) (.f64 (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))))
(+.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(+.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(log.f64 (pow.f64 (pow.f64 base (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))

eval78.0ms (3.1%)

Memory: 6.4MiB live, 75.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 24 820 to 2 631 computations (89.4% saved)

prune19.0ms (0.8%)

Memory

-4.0MiB live, 28.3MiB allocated; 1ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 084	16	1 100
Fresh	10	1	11
Picked	4	1	5
Done	0	3	3
Total	1 098	21	1 119

Accuracy

100.0%

Counts

1 119 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	83.4%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
▶	50.3%	(.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	53.8%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	50.0%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
▶	99.4%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	99.2%	(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
▶	51.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

Compiler

Compiled 473 to 132 computations (72.1% saved)

series155.0ms (6.2%)

Memory

10.0MiB live, 131.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	422

Stop Event

1×	iter-limit

Counts

25 → 30

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (/ (log base) (atan2 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (atan2 im re) (pow (log base) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (log (/ (log base) (atan2 im re))) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (* (log (/ (log base) (atan2 im re))) -1) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
#s(approx (exp (* (log (/ (log base) (atan2 im re))) -1)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (atan2 im re) (* (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base))))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx im im)
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (sqrt (/ 1 (log base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (* (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (atan2 im re) (pow (log base) 2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (log (/ (log base) (atan2 im re))) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))))
#s(approx (* (log (/ (log base) (atan2 im re))) -1) (.f64 #s(literal -1 binary64) (log.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))))
#s(approx (exp (* (log (/ (log base) (atan2 im re))) -1)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (sqrt (/ 1 (log base))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) #s(literal 2 binary64)))
#s(approx (* (atan2 im re) (* (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base))))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) #s(literal 2 binary64)) (atan2.f64 im re)))

Calls

9 calls:

Time	Variable	Point
20.0ms	base	-inf
20.0ms	re	0
19.0ms	im	0
19.0ms	re	-inf
19.0ms	base	inf

rewrite122.0ms (4.9%)

Memory

-9.4MiB live, 51.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	158
0	44	125
1	140	113
2	570	113
3	3882	113
0	4013	113

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 1 588

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

Outputs
im
re
(.f64 (.f64 (log.f64 base) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (atan2.f64 im re))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 (log.f64 base) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (atan2.f64 im re)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
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(-.f64 (cosh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sinh.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (log.f64 base) (/.f64 (cosh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 base))) (.f64 (log.f64 base) (/.f64 (sinh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 base))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (.f64 (/.f64 (cosh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 base)) (log.f64 base)) (.f64 (/.f64 (sinh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 base)) (log.f64 base)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (sinh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (cosh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 (cosh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sinh.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

eval75.0ms (3.0%)

Memory: 8.0MiB live, 74.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 22 010 to 3 439 computations (84.4% saved)

prune21.0ms (0.9%)

Memory

3.5MiB live, 28.8MiB allocated; 1ms collecting garbage

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 151	7	1 158
Fresh	3	9	12
Picked	3	2	5
Done	0	4	4
Total	1 157	22	1 179

Accuracy

100.0%

Counts

1 179 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	83.4%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
	53.8%	(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	50.0%	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	50.3%	(.f64 (atan2.f64 im re) #s(approx ( (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	50.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
	99.3%	(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	99.4%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.3%	(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
	42.4%	(.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) #s(literal -1 binary64))))
	55.1%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 242 to 63 computations (74.0% saved)

regimes70.0ms (2.8%)

Memory

-4.3MiB live, 38.5MiB allocated; 3ms collecting garbage

Counts

56 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(.f64 (atan2.f64 im re) #s(approx ( (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (atan2.f64 im re)))
(.f64 (log.f64 base) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (log.f64 base))
(/.f64 (-.f64 (.f64 (-.f64 (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 0 binary64))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(.f64 (atan2.f64 im re) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Calls

5 calls:

13.0ms	re
13.0ms	im
12.0ms	base
12.0ms	(log.f64 base)
11.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 972 to 211 computations (78.3% saved)

derivations19.0ms (0.8%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 6 to 6 computations (0.0% saved)

preprocess8.0ms (0.3%)

Memory: -2.7MiB live, 5.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 34 to 24 computations (29.4% saved)

end0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze130.0ms (5.2%)

sample987.0ms (39.6%)

preprocess49.0ms (2.0%)

series84.0ms (3.4%)

rewrite146.0ms (5.9%)

eval37.0ms (1.5%)

prune10.0ms (0.4%)

series57.0ms (2.3%)

rewrite142.0ms (5.7%)

eval74.0ms (3.0%)

prune18.0ms (0.7%)

series88.0ms (3.5%)

rewrite99.0ms (4.0%)

eval78.0ms (3.1%)

prune19.0ms (0.8%)

series155.0ms (6.2%)

rewrite122.0ms (4.9%)

eval75.0ms (3.0%)

prune21.0ms (0.9%)

regimes70.0ms (2.8%)

derivations19.0ms (0.8%)

preprocess8.0ms (0.3%)

end0.0ms (0.0%)

Profiling