Metrics for math.log10 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze65.0ms (2.2%)

Memory

-0.7MiB live, 189.4MiB allocated; 26ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (48.2%)

Memory

-119.4MiB live, 2 008.3MiB allocated; 1.3s collecting garbage

Samples

734.0ms

8 256×

valid

Precisions

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

ival-hypot: 239.0ms (47.4% of total)

ival-log: 211.0ms (41.9% of total)

ival-div!: 53.0ms (10.5% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess170.0ms (5.7%)

Memory

-12.2MiB live, 74.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	74
1	92	72
2	215	72
3	339	72
4	876	66
5	5864	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.8%	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 24 to 20 computations (16.7% saved)

series158.0ms (5.3%)

Memory

-2.7MiB live, 237.5MiB allocated; 51ms collecting garbage

Counts

10 → 77

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (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 (+ (* 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 (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (+ (* 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 (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (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 im im)
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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))))))))))

Calls

6 calls:

Time	Variable	Point
3.0ms	im	0
3.0ms	re	0
3.0ms	re	inf
2.0ms	im	inf
1.0ms	re	-inf

rewrite125.0ms (4.2%)

Memory

17.2MiB live, 112.3MiB allocated; 21ms collecting garbage

Counts

10 → 47

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 re im)
(hypot.f64 im re)
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(pow.f64 re #s(literal 2 binary64))
re
(*.f64 im im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(pow.f64 im #s(literal 2 binary64))
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

eval31.0ms (1%)

Memory: -14.4MiB live, 30.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 199 to 576 computations (82% saved)

prune4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	6	118

Accuracy

99.1%

Counts

118 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
	45.8%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
▶	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 10 binary64)))
▶	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
▶	10.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 #s(literal 10 binary64)))
▶	98.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 176 to 148 computations (15.9% saved)

series259.0ms (8.6%)

Memory

27.8MiB live, 212.9MiB allocated; 37ms collecting garbage

Counts

27 → 80

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #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) im))
(*.f64 #s(literal -1 binary64) im)
#s(literal -1 binary64)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #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) re))
(*.f64 #s(literal -1 binary64) re)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)

Outputs
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (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 re re)
#s(approx (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (/ 1 re)) (log.f64 (/.f64 #s(literal 1 binary64) re)))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (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 im im)
#s(approx (* -1 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (log (/ 1 im))) (log.f64 im))
#s(approx (log (/ 1 im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (/ 1 im)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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))))))))))

Calls

6 calls:

Time	Variable	Point
25.0ms	im	0
24.0ms	im	inf
24.0ms	re	0
13.0ms	im	-inf
11.0ms	re	inf

rewrite195.0ms (6.5%)

Memory

-14.4MiB live, 81.5MiB allocated; 117ms collecting garbage

Counts

27 → 70

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #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) im))
(*.f64 #s(literal -1 binary64) im)
#s(literal -1 binary64)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #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) re))
(*.f64 #s(literal -1 binary64) re)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)

Outputs
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 re im)
(hypot.f64 im re)
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
#s(literal -1 binary64)
(neg.f64 #s(literal 1 binary64))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) re)
(*.f64 re #s(literal -1 binary64))
(neg.f64 re)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 im))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(neg.f64 (log.f64 im))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
(/.f64 #s(literal -1 binary64) (neg.f64 im))
(pow.f64 im #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 re)))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 re))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 (neg.f64 (log.f64 re)) #s(literal -1 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 re)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(neg.f64 (log.f64 re))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(/.f64 #s(literal -1 binary64) (neg.f64 re))
(pow.f64 re #s(literal -1 binary64))

eval13.0ms (0.4%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 757 to 649 computations (82.7% saved)

prune6.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	141	6	147

Accuracy

99.1%

Counts

147 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
▶	45.8%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
▶	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
▶	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
▶	10.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
▶	98.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 177 to 145 computations (18.1% saved)

series250.0ms (8.3%)

Memory

-23.9MiB live, 256.5MiB allocated; 33ms collecting garbage

Counts

25 → 79

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im)))
#s(approx (* -1 (log (/ 1 im))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re)))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
(log.f64 re)
re
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(neg.f64 im)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(neg.f64 re)
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(*.f64 im im)

Outputs
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (* -1 (log (/ 1 re))) (log.f64 re))
#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 (neg re) (*.f64 #s(literal -1 binary64) re))
#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 (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (+ (* re re) (* im im)) (pow.f64 re #s(literal 2 binary64)))
#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 (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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)))) (log 10)) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (*.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (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 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 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) (.f64 (log.f64 #s(literal 10 binary64)) (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 #s(literal 10 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 (* -1 (log (/ 1 im))) (log.f64 im))
#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 (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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 (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 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 #s(literal 10 binary64)))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 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 #s(literal 10 binary64))))))))
#s(approx (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))) (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 #s(literal 10 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 #s(literal 10 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 #s(literal 10 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 (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))))))))))

Calls

6 calls:

Time	Variable	Point
22.0ms	re	-inf
22.0ms	re	0
21.0ms	re	inf
15.0ms	im	inf
14.0ms	im	-inf

rewrite130.0ms (4.3%)

Memory

16.9MiB live, 107.5MiB allocated; 35ms collecting garbage

Counts

25 → 59

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im)))
#s(approx (* -1 (log (/ 1 im))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re)))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
(log.f64 re)
re
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(neg.f64 im)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(neg.f64 re)
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(*.f64 im im)

Outputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (neg (neg (log im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (neg (neg (log im))) (log.f64 im)))
#s(approx (neg (neg (log im))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (neg (neg (log re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (neg (neg (log re))) (log.f64 re)))
#s(approx (neg (neg (log re))) (log.f64 re))
(log.f64 re)
re
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(neg.f64 im)
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(neg.f64 re)
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 re im)
(hypot.f64 im re)
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(fma.f64 re re (*.f64 im im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(*.f64 im im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(pow.f64 im #s(literal 2 binary64))

eval13.0ms (0.4%)

Memory: 23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 323 to 602 computations (81.9% saved)

prune9.0ms (0.3%)

Memory

-37.6MiB live, 7.6MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	120	6	126

Accuracy

99.1%

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
✓	45.8%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
✓	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
✓	0.0%	(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
✓	10.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
✓	98.2%	(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 92 to 76 computations (17.4% saved)

regimes104.0ms (3.5%)

Memory

43.7MiB live, 90.0MiB allocated; 4ms collecting garbage

Accuracy

Total -62.9b remaining (-3654.1%)

Threshold costs -62.9b (-3654.1%)

Counts

10 → 1

11 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))

Call 2

Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 im))) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) #s(approx (* -1 (log (/ 1 re))) (log.f64 re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))

Calls

16 calls:

40.0ms	(*.f64 im im)
6.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))
5.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 im im)`
98.2%	1	`(*.f64 re re)`
98.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.2%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
98.2%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
98.2%	1	`re`
98.2%	1	`im`
99.1%	1	`(*.f64 im im)`
99.1%	1	`(*.f64 re re)`
99.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.1%	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 #s(literal 10 binary64)))`
99.1%	1	`re`
99.1%	1	`im`

Compiler

Compiled 262 to 142 computations (45.8% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 29 to 21 computations (27.6% saved)

preprocess23.0ms (0.8%)

Memory: 1.2MiB live, 47.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 215 to 181 computations (15.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze65.0ms (2.2%)

sample1.4s (48.2%)

preprocess170.0ms (5.7%)

series158.0ms (5.3%)

rewrite125.0ms (4.2%)

eval31.0ms (1%)

prune4.0ms (0.1%)

series259.0ms (8.6%)

rewrite195.0ms (6.5%)

eval13.0ms (0.4%)

prune6.0ms (0.2%)

series250.0ms (8.3%)

rewrite130.0ms (4.3%)

eval13.0ms (0.4%)

prune9.0ms (0.3%)

regimes104.0ms (3.5%)

derivations0.0ms (0%)

preprocess23.0ms (0.8%)

end0.0ms (0%)

Profiling