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

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze212.0ms (3.7%)

Memory

-5.5MiB live, 295.6MiB allocated; 62ms 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)

sample1.3s (23.7%)

Memory

14.3MiB live, 2 921.7MiB allocated; 401ms collecting garbage

Samples

986.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

ival-log: 239.0ms (32.7% of total)

ival-hypot: 162.0ms (22.2% of total)

ival-mult!: 123.0ms (16.8% of total)

ival-atan2: 112.0ms (15.3% of total)

ival-div!: 55.0ms (7.5% of total)

ival-add!: 39.0ms (5.3% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess89.0ms (1.6%)

Memory

-21.2MiB live, 70.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	197
1	337	177
2	1747	177

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

53.4%

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 56 to 36 computations (35.7% saved)

series149.0ms (2.6%)

Memory

9.4MiB live, 288.2MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	3554

Stop Event

1×	iter-limit

Counts

18 → 112

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
60.0ms	base	0
24.0ms	base	-inf
19.0ms	base	inf
4.0ms	re	0
3.0ms	im	0

sample1.0ms (0.0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
(* 0 0)

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

rewrite129.0ms (2.3%)

Memory

20.2MiB live, 249.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	92
1	147	90
2	527	85
0	4038	58

Stop Event

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

Counts

18 → 899

Calls

Call 1

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

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

eval146.0ms (2.6%)

Memory: -49.7MiB live, 225.7MiB allocated; 90ms collecting garbage
Compiler: Compiled 26 674 to 3 237 computations (87.9% saved)

prune34.0ms (0.6%)

Memory

2.3MiB live, 103.1MiB allocated; 10ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	755	23	778
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	756	23	779

Accuracy

99.8%

Counts

779 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(/.f64 (fma.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
	53.3%	(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (log.f64 base) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	0.0%	(/.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (.f64 #s(literal -1 binary64) re))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (.f64 #s(literal -1 binary64) im))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.0%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) (log.f64 base))
	53.3%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	53.4%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
	53.5%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	53.1%	(-.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
	53.1%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
	53.4%	(.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
▶	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	53.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	53.2%	(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))

Compiler

Compiled 1 160 to 780 computations (32.8% saved)

series223.0ms (3.9%)

Memory

9.1MiB live, 804.8MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	3731

Stop Event

1×	iter-limit

Counts

36 → 125

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
70.0ms	base	0
34.0ms	base	-inf
26.0ms	im	0
26.0ms	base	inf
18.0ms	im	inf

sample2.0ms (0.0%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
(* 0 0)
-1
1

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 6 computations (25.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

rewrite880.0ms (15.6%)

Memory

-82.3MiB live, 833.6MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	271
0	79	208
1	300	175
2	1011	170
0	4076	170

Stop Event

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

Counts

36 → 2 862

Calls

Call 1

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

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

eval195.0ms (3.5%)

Memory: 10.2MiB live, 327.7MiB allocated; 45ms collecting garbage
Compiler: Compiled 55 378 to 5 368 computations (90.3% saved)

prune92.0ms (1.6%)

Memory

0.1MiB live, 104.2MiB allocated; 57ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 727	23	1 750
Fresh	14	4	18
Picked	5	0	5
Done	-2	2	0
Total	1 744	29	1 773

Accuracy

99.9%

Counts

1 773 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.0%	(/.f64 (fma.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	53.4%	(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	98.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.8%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	47.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
	53.3%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
✓	53.4%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
	53.4%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
▶	53.5%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	0.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	53.1%	(-.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
	53.1%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
	0.0%	(.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))
	0.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)))
✓	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	0.0%	(.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
	0.0%	(.f64 (log.f64 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	53.2%	(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))

Compiler

Compiled 1 390 to 966 computations (30.5% saved)

series192.0ms (3.4%)

Memory

18.0MiB live, 531.6MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	4798

Stop Event

1×	iter-limit

Counts

32 → 144

Calls

Call 1

Inputs
re
im
(hypot.f64 re im)
(log.f64 (hypot.f64 re im))
base
(log.f64 base)
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
#s(literal 0 binary64)
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 im)
(log.f64 (neg.f64 im))
(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
(*.f64 re re)
(fma.f64 im im (*.f64 re re))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(neg.f64 re)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base))
(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))

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

Calls

9 calls:

Time	Variable	Point
34.0ms	base	0
31.0ms	base	-inf
29.0ms	base	inf
21.0ms	im	inf
20.0ms	im	0

sample2.0ms (0.0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
(* 0 0)
3

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 3 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

rewrite393.0ms (6.9%)

Memory

-27.7MiB live, 784.6MiB allocated; 179ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	233
0	73	175
1	297	163
2	1087	162
0	4609	160

Stop Event

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

Counts

32 → 2 600

Calls

Call 1

Inputs
re
im
(hypot.f64 re im)
(log.f64 (hypot.f64 re im))
base
(log.f64 base)
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
#s(literal 0 binary64)
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 im)
(log.f64 (neg.f64 im))
(/.f64 (log.f64 (neg.f64 im)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
(*.f64 re re)
(fma.f64 im im (*.f64 re re))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(neg.f64 re)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
(.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base))
(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))

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

eval307.0ms (5.4%)

Memory: 13.8MiB live, 531.4MiB allocated; 67ms collecting garbage
Compiler: Compiled 66 785 to 5 679 computations (91.5% saved)

prune110.0ms (1.9%)

Memory

2.1MiB live, 104.4MiB allocated; 8ms collecting garbage

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 945	21	1 966
Fresh	15	7	22
Picked	5	0	5
Done	-4	6	2
Total	1 961	34	1 995

Accuracy

100.0%

Counts

1 995 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	49.8%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	47.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	10.0%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
✓	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
✓	53.4%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
✓	53.5%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
▶	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))
	10.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (* (log base) (log base))) 0) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (* (log base) (log base))) 0) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	0.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))))
	53.1%	(-.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
	53.1%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
	53.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base))))
✓	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	0.0%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))))
▶	0.0%	(.f64 (log.f64 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	53.2%	(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	0.0%	(log.f64 (pow.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
▶	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))

Compiler

Compiled 1 700 to 1 205 computations (29.1% saved)

series250.0ms (4.4%)

Memory

1.5MiB live, 435.6MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	5228

Stop Event

1×	iter-limit

Counts

44 → 145

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
81.0ms	base	-inf
43.0ms	base	0
28.0ms	base	inf
23.0ms	re	inf
16.0ms	re	0

sample2.0ms (0.0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
6
3
(pow 0 3)
4
(* 0 0)
-1
1

Outputs
#s(literal 0 binary64)
#s(literal 6 binary64)
#s(literal 3 binary64)
#s(literal 0 binary64)
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

rewrite198.0ms (3.5%)

Memory

26.8MiB live, 450.2MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	379
0	96	248
1	428	230
2	1677	225
0	4285	221

Stop Event

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

Counts

44 → 1 352

Calls

Call 1

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

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

eval154.0ms (2.7%)

Memory: -9.6MiB live, 417.8MiB allocated; 65ms collecting garbage
Compiler: Compiled 58 755 to 5 379 computations (90.8% saved)

prune50.0ms (0.9%)

Memory

20.0MiB live, 158.0MiB allocated; 14ms collecting garbage

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	1 206	14	1 220
Fresh	5	18	23
Picked	5	0	5
Done	-4	10	6
Total	1 212	42	1 254

Accuracy

100.0%

Counts

1 254 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(/.f64 (fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
	10.0%	(/.f64 (/.f64 (fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (log.f64 base)) (log.f64 base))
	98.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.0%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
✓	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
	0.0%	(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
✓	53.4%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
✓	53.5%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
✓	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (* (log base) (log base))) 0) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	0.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))))
	53.1%	(-.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
	53.1%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
	10.0%	(.f64 (fma.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
	53.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base))))
✓	53.5%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	0.0%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))))
✓	0.0%	(.f64 (log.f64 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	0.0%	(.f64 (log.f64 base) (log.f64 (pow.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))))
	10.0%	(.f64 (log.f64 base) #s(approx (/ (log (sqrt (+ ( re re) (* im im)))) (* (log base) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
	98.1%	(.f64 (log.f64 base) #s(approx (/ (log (sqrt (+ ( re re) (* im im)))) (* (log base) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
	53.2%	(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	0.0%	(log.f64 (pow.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (/ (- (pow (log base) 6) (pow 0 3)) (+ (pow (log base) 4) (+ 0 (* (* (log base) (log base)) 0)))) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
✓	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 re))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
	10.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))

Compiler

Compiled 1 237 to 850 computations (31.3% saved)

regimes436.0ms (7.7%)

Memory

-2.3MiB live, 729.4MiB allocated; 211ms collecting garbage

Counts

14 → 1

53 → 1

82 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base)))

Call 2

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

Outputs

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

Call 3

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 re) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (log.f64 re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))))
(.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (/ (- (pow (log base) 6) (pow 0 3)) (+ (pow (log base) 4) (+ 0 (* (* (log base) (log base)) 0)))) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
(-.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(log.f64 (pow.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
(.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (log.f64 base)) (log.f64 base))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 base))))
(.f64 (fma.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (log.f64 re)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) (log.f64 base))
(.f64 (log.f64 base) #s(approx (/ (log (sqrt (+ ( re re) (* im im)))) (* (log base) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(.f64 (log.f64 base) #s(approx (/ (log (sqrt (+ ( re re) (* im im)))) (* (log base) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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) (log.f64 (pow.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (log.f64 base) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (.f64 #s(literal -1 binary64) im))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (.f64 #s(literal -1 binary64) re))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (* (log base) (log base))) 0) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* im im) (* re re)))) (* (log base) (log base))) 0) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(approx (log (sqrt (+ ( re re) (* im im)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #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 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs

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

Calls

15 calls:

76.0ms	base
54.0ms	im
54.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
44.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
27.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
10.0%	1	`(log.f64 base)`
10.0%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
10.0%	1	`re`
10.0%	1	`im`
10.0%	1	`base`
98.4%	1	`(log.f64 base)`
98.4%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.4%	1	`re`
98.4%	1	`im`
98.4%	1	`base`
99.3%	1	`(log.f64 base)`
99.3%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.3%	1	`re`
99.3%	1	`im`
99.3%	1	`base`

Compiler

Compiled 2 388 to 395 computations (83.5% saved)

derivations30.0ms (0.5%)

Memory

0.9MiB live, 49.7MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 97 to 39 computations (59.8% saved)

preprocess38.0ms (0.7%)

Memory: 19.0MiB live, 112.4MiB allocated; 5ms collecting garbage
Symmetry: (abs re)
Compiler: Compiled 943 to 595 computations (36.9% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze212.0ms (3.7%)

sample1.3s (23.7%)

preprocess89.0ms (1.6%)

series149.0ms (2.6%)

sample1.0ms (0.0%)

rewrite129.0ms (2.3%)

eval146.0ms (2.6%)

prune34.0ms (0.6%)

series223.0ms (3.9%)

sample2.0ms (0.0%)

rewrite880.0ms (15.6%)

eval195.0ms (3.5%)

prune92.0ms (1.6%)

series192.0ms (3.4%)

sample2.0ms (0.0%)

rewrite393.0ms (6.9%)

eval307.0ms (5.4%)

prune110.0ms (1.9%)

series250.0ms (4.4%)

sample2.0ms (0.0%)

rewrite198.0ms (3.5%)

eval154.0ms (2.7%)

prune50.0ms (0.9%)

regimes436.0ms (7.7%)

derivations30.0ms (0.5%)

preprocess38.0ms (0.7%)

end0.0ms (0.0%)

Profiling