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

start0.0ms (0.0%)

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

analyze1.1s (16.8%)

Memory

-166.2MiB live, 309.7MiB allocated; 1.5s 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)

sample1.9s (28.5%)

Memory

72.9MiB live, 2 381.4MiB allocated; 542ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 852.0ms

ival-log: 377.0ms (44.2% of total)

ival-hypot: 208.0ms (24.4% of total)

ival-mult!: 129.0ms (15.1% of total)

ival-atan2: 64.0ms (7.5% of total)

ival-add!: 40.0ms (4.7% of total)

ival-div!: 33.0ms (3.9% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess89.0ms (1.3%)

Memory

-24.9MiB live, 67.5MiB allocated; 9ms 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
▶	50.0%	(/.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

▶

50.0%

(/.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)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB 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)

series139.0ms (2.0%)

Memory

28.0MiB live, 267.4MiB allocated; 34ms 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)) (.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 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
57.0ms	base	0
17.0ms	base	-inf
17.0ms	base	inf
4.0ms	re	0
3.0ms	im	0

rewrite129.0ms (1.9%)

Memory

-2.8MiB live, 311.1MiB allocated; 42ms 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))))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) 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)))))

eval118.0ms (1.7%)

Memory: 30.4MiB live, 228.2MiB allocated; 71ms collecting garbage
Compiler: Compiled 25 172 to 3 222 computations (87.2% saved)

prune35.0ms (0.5%)

Memory

-24.5MiB live, 71.9MiB allocated; 13ms collecting garbage

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	756	22	778
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	757	22	779

Accuracy

99.8%

Counts

779 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(/.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))))
▶	99.2%	(/.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))))
	25.9%	(/.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 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.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))))
	10.9%	(/.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))))
	98.3%	(/.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))))
	50.0%	(/.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))
	50.0%	(/.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)))
▶	50.0%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
	50.1%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	49.7%	(-.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))
	49.7%	(-.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))))
	50.0%	(.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
	50.0%	(.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))))))
▶	50.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))
	10.9%	#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 804 to 592 computations (26.4% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB 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)

series382.0ms (5.6%)

Memory

23.5MiB live, 443.5MiB allocated; 49ms 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
182.0ms	im	0
52.0ms	base	0
50.0ms	base	inf
28.0ms	base	-inf
20.0ms	im	-inf

rewrite373.0ms (5.5%)

Memory

-19.6MiB live, 736.2MiB allocated; 132ms 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))
(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))))
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(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
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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 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 #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 (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 (/.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 #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 (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 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 #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)))))

eval245.0ms (3.6%)

Memory: 1.9MiB live, 360.2MiB allocated; 167ms collecting garbage
Compiler: Compiled 48 230 to 5 344 computations (88.9% saved)

prune80.0ms (1.2%)

Memory

13.9MiB live, 106.8MiB allocated; 7ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 725	25	1 750
Fresh	13	4	17
Picked	5	0	5
Done	-2	2	0
Total	1 741	31	1 772

Accuracy

99.9%

Counts

1 772 → 31

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)))
	0.0%	(/.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)))
	0.0%	(/.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)))))
	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))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)))) (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
	50.0%	(/.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))
▶	50.0%	(/.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 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)))
✓	50.0%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 base)))
	50.0%	(/.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))))
	25.9%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	50.1%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
▶	50.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	49.7%	(-.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))
	49.7%	(-.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 (.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)))
	0.0%	(.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))
✓	50.1%	(.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 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	23.5%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
	49.8%	(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))))
▶	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 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) im))) (log.f64 base))))
	10.9%	#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 1 030 to 756 computations (26.6% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
0
(* 0 0)
1
-1
3

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

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 7 computations (30.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series307.0ms (4.5%)

Memory

-3.1MiB live, 758.6MiB allocated; 108ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	939	6810

Stop Event

1×	iter-limit

Counts

38 → 183

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)))
#s(literal 1 binary64)
(*.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 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))))))
#s(literal -1 binary64)
(*.f64 (log.f64 base) #s(literal -1 binary64))
(*.f64 (log.f64 base) im)
(/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im))
(log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im)))
(/.f64 (log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im))) (log.f64 base))
(.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) 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 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) im))) (log.f64 base))))
(.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)) (log.f64 base))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (log.f64 base)) (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 (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) (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) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) (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) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 (+ (* im im) (* re re)))) (log base)) (log base)) (*.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)) (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)) (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)))))))
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#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (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)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (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)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 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 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))) (pow.f64 re #s(literal 6 binary64))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))))))))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)) (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)) (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)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)) (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) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)) (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) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (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 base) im) (*.f64 im (log.f64 base)))
#s(approx (/ (* (log base) -1) (* (log base) im)) (/.f64 #s(literal -1 binary64) im))
#s(approx (log (/ (* (log base) -1) (* (log base) im))) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 im))))
#s(approx (/ (log (/ (* (log base) -1) (* (log base) im))) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (*.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)) (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)) (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)))))))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (fma.f64 (pow.f64 im #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 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 (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 1/6 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 6 binary64))))))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (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 (/ (* (log base) -1) (* (log base) im))) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im))))
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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 base) (log (sqrt (+ (* im im) (* re re))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (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)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))))
#s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 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 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (pow.f64 im #s(literal 6 binary64))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))))))
#s(approx (log (/ (* (log base) -1) (* (log base) im))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
#s(approx (/ (log (/ (* (log base) -1) (* (log base) im))) (log base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)) (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)) (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)) (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 base) (log (sqrt (+ (* im im) (* re re))))) (/.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) -1) (*.f64 #s(literal -1 binary64) (log.f64 base)))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (*.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 base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (log base) -1) (log.f64 (/.f64 #s(literal 1 binary64) base)))
#s(approx (* (log base) im) (.f64 #s(literal -1 binary64) (.f64 im (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (log (/ (* (log base) -1) (* (log base) 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 (/ (* (log base) -1) (* (log base) im))) (log base))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (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))))
#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
55.0ms	base	inf
47.0ms	im	0
45.0ms	base	-inf
42.0ms	base	0
30.0ms	im	-inf

rewrite371.0ms (5.5%)

Memory

-6.4MiB live, 800.5MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	308
0	81	218
1	313	185
2	1144	184
0	4565	182

Stop Event

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

Counts

38 → 2 437

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)))
#s(literal 1 binary64)
(*.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 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))))))
#s(literal -1 binary64)
(*.f64 (log.f64 base) #s(literal -1 binary64))
(*.f64 (log.f64 base) im)
(/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im))
(log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im)))
(/.f64 (log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) im))) (log.f64 base))
(.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) 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 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) im))) (log.f64 base))))
(.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)) (log.f64 base))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (log.f64 base)) (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 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 (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 (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 (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 (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 (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 (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)
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(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(neg.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (log.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (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 (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 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (log.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)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (*.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))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (log.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))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (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 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #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))
(-.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(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)))))
(log.f64 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))

eval245.0ms (3.6%)

Memory: 4.2MiB live, 427.2MiB allocated; 81ms collecting garbage
Compiler: Compiled 50 941 to 6 157 computations (87.9% saved)

prune115.0ms (1.7%)

Memory

10.2MiB live, 243.6MiB allocated; 29ms collecting garbage

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1 766	25	1 791
Fresh	11	13	24
Picked	5	0	5
Done	-1	3	2
Total	1 781	41	1 822

Accuracy

100.0%

Counts

1 822 → 41

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)))
	50.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	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))))
✓	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.9%	(/.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))))
▶	98.3%	(/.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 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)))) (.f64 (.f64 (log.f64 base) (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)))
	25.9%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	50.1%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	10.9%	(/.f64 #s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)) (.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)))
	0.0%	(/.f64 #s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)))
	50.1%	(/.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))))
	50.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (log.f64 base)))
	49.4%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
	10.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
	98.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
	0.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
	49.7%	(-.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))
▶	49.7%	(-.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))))
	50.1%	(.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))))
	0.0%	(.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)))
	0.0%	(.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))
✓	50.1%	(.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 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	23.5%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
	49.8%	(log.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	25.0%	(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) #s(literal -1 binary64)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (neg.f64 (log.f64 (neg.f64 im))) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (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))))
	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 (-.f64 (log.f64 (neg.f64 (log.f64 base))) (log.f64 (.f64 (log.f64 base) 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 (+.f64 (log.f64 (/.f64 (log.f64 base) im)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (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 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) im))) (log.f64 base))))
	10.9%	#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 1 200 to 1 001 computations (16.6% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
0
4
(* 0 0)
1
-1

Outputs
#s(literal 0 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 10 to 7 computations (30.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series386.0ms (5.7%)

Memory

4.5MiB live, 695.3MiB allocated; 186ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	6638

Stop Event

1×	iter-limit

Counts

46 → 191

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

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

Calls

9 calls:

Time	Variable	Point
86.0ms	base	inf
58.0ms	base	-inf
55.0ms	im	inf
45.0ms	im	0
40.0ms	im	-inf

rewrite191.0ms (2.8%)

Memory

24.9MiB live, 491.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	383
0	99	303
1	415	285
2	1458	279
0	4398	275

Stop Event

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

Counts

46 → 1 443

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

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

eval141.0ms (2.1%)

Memory: -14.1MiB live, 222.8MiB allocated; 63ms collecting garbage
Compiler: Compiled 30 325 to 5 311 computations (82.5% saved)

prune46.0ms (0.7%)

Memory

-7.9MiB live, 91.7MiB allocated; 9ms collecting garbage

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	1 136	15	1 151
Fresh	8	25	33
Picked	5	0	5
Done	-1	4	3
Total	1 148	44	1 192

Accuracy

100.0%

Counts

1 192 → 44

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)))
	98.3%	(/.f64 (fma.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
	50.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
	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))))
✓	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.9%	(/.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))))
	0.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)))) (.f64 (.f64 (log.f64 base) (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)))
	25.9%	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	50.1%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
	98.2%	(/.f64 #s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)))
	0.0%	(/.f64 #s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)))
	50.1%	(/.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))))
	10.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
	98.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
	0.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
	49.7%	(-.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))
	49.7%	(-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
	43.9%	(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 base (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 base)))
	10.9%	(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))))
	97.9%	(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))))
	0.0%	(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))))
	0.0%	(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))))
	50.1%	(.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))))
	0.0%	(.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)))
	0.0%	(.f64 (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) #s(literal 1 binary64))
✓	50.1%	(.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 base) (/.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 base))))
	23.5%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
	49.8%	(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 (.f64 (neg.f64 (log.f64 (neg.f64 im))) (neg.f64 (log.f64 base))) (.f64 (log.f64 base) (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 (.f64 (E.f64) (log.f64 (neg.f64 im))) (.f64 (E.f64) (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 (E.f64) (.f64 (E.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))))
	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 (+.f64 (log.f64 (/.f64 (log.f64 base) im)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (log.f64 base))))
	10.9%	#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)))))
	10.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))

Compiler

Compiled 641 to 547 computations (14.7% saved)

regimes237.0ms (3.5%)

Memory

26.1MiB live, 352.4MiB allocated; 28ms collecting garbage

Counts

8 → 1

64 → 1

88 → 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 (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
(.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)))))
#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)))))
#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 (neg.f64 im)) (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 (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
(.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)))))
#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)))))
#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 (/.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)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 (E.f64) (.f64 (E.f64) (log.f64 base))) (log.f64 (neg.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (E.f64) (log.f64 (neg.f64 im))) (.f64 (E.f64) (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 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) 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))
(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 base (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (log.f64 base)))
(/.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 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
#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)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(.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 (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 im)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 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 (.f64 (neg.f64 (log.f64 (neg.f64 im))) (neg.f64 (log.f64 base))) (.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) (/.f64 (log.f64 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) im))) (log.f64 base))))
(.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(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) 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 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) im))) (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))))
#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 (-.f64 (log.f64 (neg.f64 (log.f64 base))) (log.f64 (.f64 (log.f64 base) im))) (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 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
(.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))))))
#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 (+.f64 (log.f64 (/.f64 (log.f64 base) im)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
(/.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 (+.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))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (sqrt.f64 (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))))) (sqrt.f64 (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))))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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 (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (neg.f64 im))))
(.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)))))
#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)))))
#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 (/.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)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 (E.f64) (.f64 (E.f64) (log.f64 base))) (log.f64 (neg.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (E.f64) (log.f64 (neg.f64 im))) (.f64 (E.f64) (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 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))))
(-.f64 #s(literal 1 binary64) #s(approx (- 1 (/ (log (sqrt (+ (* im im) (* re re)))) (log base))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) 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))
(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 base (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (log.f64 base)))
(/.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 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
#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)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(.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 (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 im)) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 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 (.f64 (neg.f64 (log.f64 (neg.f64 im))) (neg.f64 (log.f64 base))) (.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) (/.f64 (log.f64 (/.f64 (neg.f64 (log.f64 base)) (.f64 (log.f64 base) im))) (log.f64 base))))
(.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(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) 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 (.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (log.f64 base) im))) (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))))
#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 (-.f64 (log.f64 (neg.f64 (log.f64 base))) (log.f64 (.f64 (log.f64 base) im))) (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 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))))
(.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))))))
#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 (+.f64 (log.f64 (/.f64 (log.f64 base) im)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))))
(/.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 (+.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))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (sqrt.f64 (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))))) (sqrt.f64 (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))))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)) (log.f64 base)) (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 (+.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)) (.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 #s(approx (* (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (log base)) (.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)) (.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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 (.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 (.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 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (log.f64 #s(approx (sqrt (+ ( re re) (* im im))) (neg.f64 re))) (log.f64 base)) (log.f64 base)))) (.f64 (.f64 (log.f64 base) (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 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im 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 (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)) #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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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 (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 (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)))))

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:

24.0ms	(log.f64 base)
24.0ms	re
23.0ms	(log.f64 base)
23.0ms	base
22.0ms	im

Results

Accuracy	Segments	Branch
0.0%	1	`(log.f64 base)`
0.0%	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))))`
0.0%	1	`re`
0.0%	1	`im`
0.0%	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`
99.2%	1	`(log.f64 base)`
99.2%	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))))`
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`base`

Compiler

Compiled 1 577 to 391 computations (75.2% saved)

derivations32.0ms (0.5%)

Memory

-30.3MiB live, 14.8MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 37 to 25 computations (32.4% saved)

preprocess52.0ms (0.8%)

Memory: 8.7MiB live, 54.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 291 to 244 computations (16.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.1s (16.8%)

sample1.9s (28.5%)

preprocess89.0ms (1.3%)

sample0.0ms (0.0%)

series139.0ms (2.0%)

rewrite129.0ms (1.9%)

eval118.0ms (1.7%)

prune35.0ms (0.5%)

sample0.0ms (0.0%)

series382.0ms (5.6%)

rewrite373.0ms (5.5%)

eval245.0ms (3.6%)

prune80.0ms (1.2%)

sample0.0ms (0.0%)

series307.0ms (4.5%)

rewrite371.0ms (5.5%)

eval245.0ms (3.6%)

prune115.0ms (1.7%)

sample0.0ms (0.0%)

series386.0ms (5.7%)

rewrite191.0ms (2.8%)

eval141.0ms (2.1%)

prune46.0ms (0.7%)

regimes237.0ms (3.5%)

derivations32.0ms (0.5%)

preprocess52.0ms (0.8%)

end0.0ms (0.0%)

Profiling