Metrics for math.log/1 on complex, real part

start0.0ms (0%)

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

analyze79.0ms (1.1%)

Memory

3.4MiB live, 47.8MiB allocated; 8ms 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 11 to 6 computations (45.5% saved)

sample855.0ms (11.9%)

Memory

2.2MiB live, 543.0MiB allocated; 130ms collecting garbage

Samples

621.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 371.0ms

ival-hypot: 274.0ms (73.8% of total)

ival-log: 95.0ms (25.6% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess90.0ms (1.3%)

Memory

-35.4MiB live, 9.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	71	56
2	177	56
3	260	56
4	644	56
5	3845	56

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 14 to 14 computations (0% saved)

series209.0ms (2.9%)

Memory

35.4MiB live, 35.4MiB allocated; 0ms collecting garbage

Counts

7 → 53

Calls

Call 1

Inputs
(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

Outputs
#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)))) (*.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)))) (*.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.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)))) (*.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)))) (*.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	Expression
2.0ms	im	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
2.0ms	re	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
2.0ms	re	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
2.0ms	im	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
2.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)

rewrite1.3s (17.9%)

Memory

2.0MiB live, 145.5MiB allocated; 30ms collecting garbage

Counts

7 → 621

Calls

Call 1

Inputs
(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

Outputs
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(hypot.f64 im re)
(hypot.f64 re im)
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 re) (neg.f64 im))
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(neg.f64 (neg.f64 (fma.f64 re re (*.f64 im im))))
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(sqrt.f64 (.f64 (fma.f64 re re (.f64 im im)) (fma.f64 re re (*.f64 im im))))
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(sqrt.f64 (.f64 (.f64 re re) (*.f64 re re)))
re
(neg.f64 (neg.f64 re))
(*.f64 im im)
(*.f64 (fabs.f64 im) (fabs.f64 im))
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(fabs.f64 (*.f64 im im))
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(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))
im
(neg.f64 (neg.f64 im))

eval93.0ms (1.3%)

Memory: -30.7MiB live, 60.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 8 617 to 2 185 computations (74.6% saved)

prune13.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	663	6	669
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	664	6	670

Accuracy

100.0%

Counts

670 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (hypot.f64 re im))
	48.4%	(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
▶	9.6%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
▶	99.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))

Compiler

Compiled 112 to 112 computations (0% saved)

series241.0ms (3.3%)

Memory

6.5MiB live, 57.9MiB allocated; 7ms collecting garbage

Counts

20 → 56

Calls

Call 1

Inputs
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(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)
(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)
#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)
#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.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)))) (*.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)))) (*.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.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)))) (*.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)))) (*.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	Expression
24.0ms	re	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 im) -1 (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 re) (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 im))) (log (/ 1 im)) (/ 1 im) 1 (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 re))) (log (/ 1 re)) (/ 1 re))
15.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 im) -1 (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 re) (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 im))) (log (/ 1 im)) (/ 1 im) 1 (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 re))) (log (/ 1 re)) (/ 1 re))
8.0ms	im	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 im) -1 (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 re) (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 im))) (log (/ 1 im)) (/ 1 im) 1 (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 re))) (log (/ 1 re)) (/ 1 re))
8.0ms	im	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 im) -1 (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 re) (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 im))) (log (/ 1 im)) (/ 1 im) 1 (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 re))) (log (/ 1 re)) (/ 1 re))
7.0ms	re	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 im) -1 (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* -1 re) (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 im))) (log (/ 1 im)) (/ 1 im) 1 (log (sqrt (+ (* re re) (* im im)))) (* -1 (log (/ 1 re))) (log (/ 1 re)) (/ 1 re))

rewrite1.8s (25.7%)

Memory

31.8MiB live, 903.0MiB allocated; 170ms collecting garbage

Counts

20 → 1 068

Calls

Call 1

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

eval314.0ms (4.4%)

Memory: -7.9MiB live, 249.4MiB allocated; 88ms collecting garbage
Compiler: Compiled 13 535 to 7 416 computations (45.2% saved)

prune70.0ms (1%)

Memory

-19.7MiB live, 71.7MiB allocated; 9ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	2 042	4	2 046
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	2 046	6	2 052

Accuracy

100.0%

Counts

2 052 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
▶	48.4%	(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
▶	9.6%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
▶	99.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 88 to 88 computations (0% saved)

series236.0ms (3.3%)

Memory

43.3MiB live, 133.3MiB allocated; 38ms collecting garbage

Counts

16 → 55

Calls

Call 1

Inputs
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
(log.f64 re)
re
(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)
(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)
(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.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log 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)))) (*.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)))) (*.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.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log 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)))) (*.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)))) (*.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	Expression
18.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (log im) im (log (sqrt (+ (* re re) (* im im)))) (log re) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im))
8.0ms	im	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (log im) im (log (sqrt (+ (* re re) (* im im)))) (log re) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im))
8.0ms	re	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (log im) im (log (sqrt (+ (* re re) (* im im)))) (log re) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im))
8.0ms	im	@	inf	((log (sqrt (+ (* re re) (* im im)))) (log im) im (log (sqrt (+ (* re re) (* im im)))) (log re) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im))
7.0ms	re	@	inf	((log (sqrt (+ (* re re) (* im im)))) (log im) im (log (sqrt (+ (* re re) (* im im)))) (log re) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg im) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (neg re) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im))

rewrite1.7s (23.2%)

Memory

28.2MiB live, 970.7MiB allocated; 469ms collecting garbage

Counts

16 → 611

Calls

Call 1

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

eval120.0ms (1.7%)

Memory: -26.3MiB live, 208.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 8 574 to 2 144 computations (75% saved)

prune13.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	663	0	663
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	663	6	669

Accuracy

100.0%

Counts

669 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	48.4%	(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
✓	9.6%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
✓	99.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 113 to 89 computations (21.2% saved)

regimes24.0ms (0.3%)

Memory

-18.3MiB live, 29.0MiB allocated; 3ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
3.0ms	im
3.0ms	re
3.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
3.0ms	(+.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 im im)`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
100.0%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes21.0ms (0.3%)

Memory

-18.9MiB live, 29.0MiB allocated; 0ms collecting garbage

Accuracy

Total -63.5b remaining (-12631.2%)

Threshold costs -63.5b (-12631.2%)

Counts

10 → 1

Calls

Call 1

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

Outputs
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Calls

7 calls:

3.0ms	re
3.0ms	im
3.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
3.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
3.0ms	(+.f64 (.f64 re re) (.f64 im im))

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 im im)`
99.2%	1	`(*.f64 re re)`
99.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.2%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.2%	1	`re`
99.2%	1	`im`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess19.0ms (0.3%)

Memory: 36.9MiB live, 36.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 96 to 96 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze79.0ms (1.1%)

sample855.0ms (11.9%)

preprocess90.0ms (1.3%)

series209.0ms (2.9%)

rewrite1.3s (17.9%)

eval93.0ms (1.3%)

prune13.0ms (0.2%)

series241.0ms (3.3%)

rewrite1.8s (25.7%)

eval314.0ms (4.4%)

prune70.0ms (1%)

series236.0ms (3.3%)

rewrite1.7s (23.2%)

eval120.0ms (1.7%)

prune13.0ms (0.2%)

regimes24.0ms (0.3%)

regimes21.0ms (0.3%)

derivations0.0ms (0%)

preprocess19.0ms (0.3%)

end0.0ms (0%)

Profiling