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

start0.0ms (0%)

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

analyze47.0ms (1.5%)

Memory

38.6MiB live, 83.6MiB allocated; 7ms 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)

sample796.0ms (25%)

Memory

1.6MiB live, 998.9MiB allocated; 179ms collecting garbage

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-hypot: 147.0ms (62.5% of total)

ival-log: 87.0ms (37% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess95.0ms (3%)

Memory

-32.2MiB live, 64.8MiB allocated; 18ms 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
▶	51.5%	(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)

series22.0ms (0.7%)

Memory

39.4MiB live, 39.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1295

Stop Event

1×	iter-limit

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	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	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	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	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)
1.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) re (* im im) im)

rewrite238.0ms (7.5%)

Memory

-12.0MiB live, 363.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	32
0	12	32
1	48	32
2	167	32
3	485	32
4	1055	32
5	4828	32
0	8266	20

Stop Event

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

Counts

7 → 926

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
(.f64 #s(literal 1/8 binary64) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 4 binary64))))
(.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (.f64 re re)))))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
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(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
im

eval298.0ms (9.4%)

Memory: 25.4MiB live, 349.9MiB allocated; 66ms collecting garbage
Compiler: Compiled 11 471 to 3 550 computations (69.1% saved)

prune34.0ms (1.1%)

Memory

-30.6MiB live, 65.1MiB allocated; 27ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	968	6	974
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	969	6	975

Accuracy

100.0%

Counts

975 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (hypot.f64 re im))
	51.5%	(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)))
▶	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
▶	99.4%	#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)

series149.0ms (4.7%)

Memory

31.1MiB live, 172.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	1292

Stop Event

1×	iter-limit

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
47.0ms	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))
40.0ms	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))
32.0ms	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))
7.0ms	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))
7.0ms	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))

rewrite167.0ms (5.2%)

Memory

-22.6MiB live, 167.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	95
0	36	77
1	106	69
2	340	69
3	1298	69
4	6363	65
0	8451	65

Stop Event

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

Counts

20 → 674

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

eval54.0ms (1.7%)

Memory: 42.9MiB live, 132.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 789 to 2 696 computations (43.7% saved)

prune15.0ms (0.5%)

Memory

-12.7MiB live, 32.5MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	715	4	719
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	717	8	725

Accuracy

100.0%

Counts

725 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
▶	51.5%	(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)))
▶	10.2%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) re))
▶	99.4%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) im))
▶	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
▶	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) im))))

Compiler

Compiled 122 to 122 computations (0% saved)

series202.0ms (6.3%)

Memory

-42.6MiB live, 223.9MiB allocated; 132ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1406

Stop Event

1×	iter-limit

Counts

21 → 62

Calls

Call 1

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

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 (+ (* 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 (+ re re)) (log 2)) (log.f64 re))
#s(approx (log (+ re re)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 re)))
#s(approx (+ re re) (*.f64 #s(literal 2 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 (+ (* 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 (+ re re)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#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 2) (log (* 1/2 im))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))))
#s(approx (log (* 1/2 im)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))
#s(approx (* 1/2 im) (*.f64 #s(literal 1/2 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 2) (log (* 1/2 im))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
#s(approx (log (* 1/2 im)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#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
95.0ms	re	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (log (sqrt (+ (* re re) (* im im)))) (- (log (+ re re)) (log 2)) (log (+ re re)) (+ re re) (log 2) 2 (log (sqrt (+ (* re re) (* im im)))) (+ (log 2) (log (* 1/2 im))) (log (* 1/2 im)) (* 1/2 im) 1/2)
22.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (log (sqrt (+ (* re re) (* im im)))) (- (log (+ re re)) (log 2)) (log (+ re re)) (+ re re) (log 2) 2 (log (sqrt (+ (* re re) (* im im)))) (+ (log 2) (log (* 1/2 im))) (log (* 1/2 im)) (* 1/2 im) 1/2)
19.0ms	re	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (log (sqrt (+ (* re re) (* im im)))) (- (log (+ re re)) (log 2)) (log (+ re re)) (+ re re) (log 2) 2 (log (sqrt (+ (* re re) (* im im)))) (+ (log 2) (log (* 1/2 im))) (log (* 1/2 im)) (* 1/2 im) 1/2)
17.0ms	im	@	inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (log (sqrt (+ (* re re) (* im im)))) (- (log (+ re re)) (log 2)) (log (+ re re)) (+ re re) (log 2) 2 (log (sqrt (+ (* re re) (* im im)))) (+ (log 2) (log (* 1/2 im))) (log (* 1/2 im)) (* 1/2 im) 1/2)
14.0ms	re	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) im (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (log (sqrt (+ (* re re) (* im im)))) (- (log (+ re re)) (log 2)) (log (+ re re)) (+ re re) (log 2) 2 (log (sqrt (+ (* re re) (* im im)))) (+ (log 2) (log (* 1/2 im))) (log (* 1/2 im)) (* 1/2 im) 1/2)

rewrite278.0ms (8.8%)

Memory

42.1MiB live, 322.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	39	124
1	130	120
2	376	112
3	1009	108
4	3700	108
0	8200	75

Stop Event

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

Counts

21 → 940

Calls

Call 1

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

Outputs
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) im))
#s(approx (sqrt (+ (* re re) (* im im))) im)
im
(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) re))
#s(approx (sqrt (+ (* re re) (* im im))) re)
re
(.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (.f64 re re)))))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(.f64 (pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 im im (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(fabs.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(hypot.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)) (fabs.f64 re))
(hypot.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)) (neg.f64 re))
(hypot.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)) re)
(hypot.f64 (neg.f64 (fabs.f64 re)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (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 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 re) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) im)))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
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(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 1/2 binary64) im (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 1/2 binary64) im (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 im #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 im #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 im #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im)) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(fma.f64 im #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) im)))
(fma.f64 im #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im)))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) im)))
(+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) im)))
#s(literal 1/2 binary64)

eval123.0ms (3.9%)

Memory: -8.8MiB live, 275.9MiB allocated; 59ms collecting garbage
Compiler: Compiled 7 846 to 4 133 computations (47.3% saved)

prune19.0ms (0.6%)

Memory

6.2MiB live, 51.6MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 004	1	1 005
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 005	8	1 013

Accuracy

100.0%

Counts

1 013 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	51.5%	(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)))
✓	10.2%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) re))
✓	99.4%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) im))
✓	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
▶	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) (log.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 72 to 72 computations (0% saved)

series62.0ms (2%)

Memory

-14.9MiB live, 124.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	708

Stop Event

1×	iter-limit

Counts

7 → 29

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	im	@	-inf	((log (sqrt (+ (* re re) (* im im)))) (- (log (* 1/2 im)) (log 1/2)) (log (* 1/2 im)) (* 1/2 im) 1/2 im (log 1/2))
16.0ms	im	@	inf	((log (sqrt (+ (* re re) (* im im)))) (- (log (* 1/2 im)) (log 1/2)) (log (* 1/2 im)) (* 1/2 im) 1/2 im (log 1/2))
16.0ms	im	@	0	((log (sqrt (+ (* re re) (* im im)))) (- (log (* 1/2 im)) (log 1/2)) (log (* 1/2 im)) (* 1/2 im) 1/2 im (log 1/2))
0.0ms	re	@	0	((log (sqrt (+ (* re re) (* im im)))) (- (log (* 1/2 im)) (log 1/2)) (log (* 1/2 im)) (* 1/2 im) 1/2 im (log 1/2))
0.0ms	re	@	inf	((log (sqrt (+ (* re re) (* im im)))) (- (log (* 1/2 im)) (log 1/2)) (log (* 1/2 im)) (* 1/2 im) 1/2 im (log 1/2))

rewrite340.0ms (10.7%)

Memory

24.9MiB live, 339.2MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	17	33
1	77	29
2	243	25
3	659	25
4	2003	25
0	8109	20

Stop Event

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

Counts

7 → 328

Calls

Call 1

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

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

eval62.0ms (1.9%)

Memory: -11.1MiB live, 81.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 2 919 to 1 497 computations (48.7% saved)

prune8.0ms (0.3%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	351	8	359

Accuracy

100.0%

Counts

359 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (hypot.f64 re im))
✓	51.5%	(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)))
✓	10.2%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) re))
✓	99.4%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) im))
✓	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
✓	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) (log.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 148 to 123 computations (16.9% saved)

regimes28.0ms (0.9%)

Memory

-1.1MiB live, 91.2MiB allocated; 8ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	im
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	re
3.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
3.0ms	(sqrt.f64 (+.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)

regimes59.0ms (1.8%)

Memory

-47.3MiB live, 64.5MiB allocated; 47ms collecting garbage

Accuracy

Total -63.6b remaining (-17976.1%)

Threshold costs -63.6b (-17976.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	re
3.0ms	im
3.0ms	(+.f64 (.f64 re re) (.f64 im 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)))

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 im im)`
99.4%	1	`(*.f64 re re)`
99.4%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.4%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.4%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.4%	1	`re`
99.4%	1	`im`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

derivations61.0ms (1.9%)

Memory

8.7MiB live, 97.5MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess24.0ms (0.7%)

Memory: 7.5MiB live, 61.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 89 to 89 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze47.0ms (1.5%)

sample796.0ms (25%)

preprocess95.0ms (3%)

series22.0ms (0.7%)

rewrite238.0ms (7.5%)

eval298.0ms (9.4%)

prune34.0ms (1.1%)

series149.0ms (4.7%)

rewrite167.0ms (5.2%)

eval54.0ms (1.7%)

prune15.0ms (0.5%)

series202.0ms (6.3%)

rewrite278.0ms (8.8%)

eval123.0ms (3.9%)

prune19.0ms (0.6%)

series62.0ms (2%)

rewrite340.0ms (10.7%)

eval62.0ms (1.9%)

prune8.0ms (0.3%)

regimes28.0ms (0.9%)

regimes59.0ms (1.8%)

derivations61.0ms (1.9%)

preprocess24.0ms (0.7%)

end0.0ms (0%)

Profiling