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

start0.0ms (0.0%)

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

analyze54.0ms (0.1%)

Memory

20.3MiB live, 112.3MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	3
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	4
18.8%	18.7%	81.2%	0.1%	0.0%	0.0%	0.0%	5
34.4%	34.3%	65.6%	0.1%	0.0%	0.0%	0.0%	6
54.7%	54.6%	45.3%	0.1%	0.0%	0.0%	0.0%	7
64.8%	64.8%	35.1%	0.1%	0.0%	0.0%	0.0%	8
76.2%	76.1%	23.8%	0.1%	0.0%	0.0%	0.0%	9
81.8%	81.8%	18.1%	0.1%	0.0%	0.0%	0.0%	10
87.8%	87.7%	12.2%	0.1%	0.0%	0.0%	0.0%	11
90.8%	90.7%	9.2%	0.1%	0.0%	0.0%	0.0%	12

Compiler

Compiled 11 to 6 computations (45.5% saved)

sample800.0ms (1.7%)

Memory

13.1MiB live, 1 005.5MiB allocated; 282ms collecting garbage

Samples

564.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-hypot: 187.0ms (53.9% of total)

ival-log: 149.0ms (42.9% of total)

adjust: 11.0ms (3.2% of total)

Bogosity

preprocess62.0ms (0.1%)

Memory

-14.3MiB live, 32.4MiB allocated; 7ms 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
▶	49.0%	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series28.0ms (0.1%)

Memory

39.9MiB live, 39.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1565

Stop Event

1×	iter-limit

Counts

7 → 53

Calls

Call 1

Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Outputs
#s(approx re re)
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.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 (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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 im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.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 (+ (* 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 (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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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
2.0ms	re	0
2.0ms	im	-inf
2.0ms	re	inf
2.0ms	im	inf
1.0ms	im	0

rewrite133.0ms (0.3%)

Memory

-11.0MiB live, 174.6MiB allocated; 20ms 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
0	4209	32

Stop Event

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

Counts

7 → 317

Calls

Call 1

Inputs
re
(*.f64 re re)
im
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

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

eval42.0ms (0.1%)

Memory: 23.3MiB live, 68.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 024 to 1 726 computations (75.4% saved)

prune10.0ms (0.0%)

Memory

-32.0MiB live, 13.8MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	359	5	364
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	360	5	365

Accuracy

99.5%

Counts

365 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
▶	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))))
▶	99.3%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))

Compiler

Compiled 136 to 108 computations (20.6% saved)

series87.0ms (0.2%)

Memory

31.2MiB live, 127.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	2744

Stop Event

1×	iter-limit

Counts

24 → 97

Calls

Call 1

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

Outputs
#s(approx re re)
#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)) (+.f64 (.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)) (+.f64 (.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)) (+.f64 (.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)) (+.f64 (.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 (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (* -1 (log (/ 1 re))) (log.f64 re))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* im im) (* re re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* im im) (* re re)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.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 im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.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 (+ (* im im) (* re re)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.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 (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/6 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 im im)
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx (log (/ 1 im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (* -1 (log (/ 1 im))) (log.f64 im))
#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)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (* -1 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (+ (* im im) (* re re))) (log.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (log.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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 re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (/ 1 im)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (* -1 (log (/ 1 im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.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 (+ (* im im) (* re re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.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 (+ (* im im) (* re re))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (+ (* im im) (* re re))) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (log (+ (* im im) (* re re)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/6 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
24.0ms	re	0
12.0ms	re	inf
9.0ms	im	inf
8.0ms	im	0
8.0ms	im	-inf

rewrite316.0ms (0.7%)

Memory

2.6MiB live, 663.1MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	150
0	43	133
1	130	125
2	390	125
3	1265	125
0	4268	125

Stop Event

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

Counts

24 → 2 239

Calls

Call 1

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

Outputs
re
im
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 1 binary64) im))) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 im)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal -1/2 binary64))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 im))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) im))
(*.f64 (/.f64 #s(literal -1 binary64) im) (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64))
(*.f64 (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) im)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) im))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) im))
(pow.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) im))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (neg.f64 im)))) (.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) im))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 #s(literal 0 binary64) (.f64 im #s(literal 2 binary64)))) (.f64 (*.f64 im #s(literal 2 binary64)) im))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (-.f64 im im)) (.f64 (*.f64 #s(literal 2 binary64) im) im))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)) (.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im))) (/.f64 #s(literal 1 binary64) im))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) im) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 #s(literal 0 binary64) im)) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 0 binary64) im)))))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) im) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) im))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) im))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) im) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) im))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im)) im) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) im))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)) im))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal 0 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) im))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal 0 binary64)) (neg.f64 im))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 (.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (*.f64 im #s(literal 2 binary64)) im))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 (.f64 #s(literal 2 binary64) im) #s(literal 0 binary64))) (.f64 (*.f64 #s(literal 2 binary64) im) im))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 0 binary64)) im)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) im)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) im) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) im)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 im) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64))
(/.f64 im (*.f64 im im))
(/.f64 (neg.f64 im) (*.f64 im (neg.f64 im)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))))
(/.f64 #s(literal 2 binary64) (*.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))
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eval30.7s (64.6%)

Memory

811.1MiB live, 36 464.4MiB allocated; 13.7s collecting garbage

Samples

23.5s	380 148×	0	valid
1.5s	25 356×	0	invalid

Compiler

Compiled 48 802 to 9 143 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.2s

ival-mult!: 6.5s (78.8% of total)

ival-sub!: 1.2s (14.6% of total)

adjust: 538.0ms (6.5% of total)

prune37.0ms (0.1%)

Memory

-20.4MiB live, 70.1MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	2 314	6	2 320
Fresh	0	0	0
Picked	5	0	5
Done	-1	1	0
Total	2 318	7	2 325

Accuracy

99.5%

Counts

2 325 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
▶	99.0%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
	98.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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)))))))
▶	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
▶	99.3%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 218 to 152 computations (30.3% saved)

series116.0ms (0.2%)

Memory

25.3MiB live, 173.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1512

Stop Event

1×	iter-limit

Counts

18 → 53

Calls

Call 1

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

Outputs
#s(approx re re)
#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)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log re) (log.f64 re))
#s(approx (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)) (+.f64 (.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)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (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)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.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 im im)
#s(approx (log im) (log.f64 im))
#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)) (+.f64 (.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)) (+.f64 (.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 (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.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)) (+.f64 (.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 2) (*.f64 #s(literal 2 binary64) im))
#s(approx (log (* im 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))
#s(approx (log im) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.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 (* im 2)) (+.f64 (log.f64 #s(literal 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)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.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
37.0ms	im	0
23.0ms	im	inf
22.0ms	im	-inf
7.0ms	re	-inf
7.0ms	re	inf

rewrite216.0ms (0.5%)

Memory

17.5MiB live, 298.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	114
0	33	104
1	92	104
2	283	104
3	833	104
4	3894	104
0	4100	104

Stop Event

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

Counts

18 → 985

Calls

Call 1

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

Outputs
re
im
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (+.f64 im im))) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
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(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (log.f64 im)))
(-.f64 (log.f64 (*.f64 (neg.f64 im) #s(literal 8 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 im #s(literal 8 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 im im) #s(literal 4 binary64)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) im))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)) #s(literal -1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)) #s(literal 1/2 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 im im) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 im im) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) im))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) (neg.f64 im))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) im)) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 im im) #s(literal 4 binary64)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 im im) #s(literal 4 binary64)))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) im))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)) #s(literal 1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) im) (*.f64 #s(literal 4 binary64) im)) #s(literal 2 binary64))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 im im) #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 im im) #s(literal 4 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) im) #s(literal 2 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) im) #s(literal 2 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal -4 binary64) im) (.f64 #s(literal 4 binary64) im))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 (+.f64 im im) #s(literal 4 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -4 binary64) im)) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im))))
(-.f64 (log.f64 (neg.f64 im)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) im)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 im)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 im im))))
(-.f64 (log.f64 im) (log.f64 #s(literal 1 binary64)))
(-.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 #s(literal 1/2 binary64) im)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) im)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 im))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im)))
(+.f64 (log.f64 im) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64)))
(log.f64 im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

eval14.5s (30.5%)

Memory

41.2MiB live, 16 702.6MiB allocated; 6.8s collecting garbage

Samples

11.9s

172 800×

valid

Compiler

Compiled 21 625 to 3 704 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.9s

ival-mult!: 2.6s (53.7% of total)

ival-sub!: 2.0s (41.3% of total)

adjust: 243.0ms (4.9% of total)

prune13.0ms (0.0%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	966	2	968
Fresh	0	1	1
Picked	5	0	5
Done	-4	5	1
Total	967	8	975

Accuracy

99.5%

Counts

975 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
▶	98.7%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
▶	99.0%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
▶	98.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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)))))))
✓	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
✓	99.3%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 134 to 95 computations (29.1% saved)

series111.0ms (0.2%)

Memory

-23.6MiB live, 166.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1028

Stop Event

1×	iter-limit

Counts

29 → 43

Calls

Call 1

Inputs
im
#s(literal -1 binary64)
(log.f64 im)
(neg.f64 (log.f64 im))
#s(literal 3 binary64)
(pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))
(+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)))
(*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im)))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (neg.f64 (log.f64 im)) #s(literal 0 binary64))
(-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (log.f64 im)) #s(literal 0 binary64)))
(+.f64 (.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 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.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 im im)
(log.f64 (+.f64 im im))
#s(literal 2 binary64)
(log.f64 #s(literal 2 binary64))
(-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) im)
(log.f64 (*.f64 #s(literal 4 binary64) im))
(-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 2 binary64)))
(-.f64 (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 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)) (+.f64 (.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)) (+.f64 (.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)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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 im im)
#s(approx (log im) (log.f64 im))
#s(approx (neg (log im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (pow (neg (log im)) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
#s(approx (* (neg (log im)) (neg (log im))) (pow.f64 (log.f64 im) #s(literal 2 binary64)))
#s(approx (* (neg (log im)) 0) #s(literal 0 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)) (+.f64 (.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)) (+.f64 (.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 (+ im im) (*.f64 #s(literal 2 binary64) im))
#s(approx (log (+ im im)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))
#s(approx (* 4 im) (*.f64 #s(literal 4 binary64) im))
#s(approx (log (* 4 im)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 im)))
#s(approx (- (log (* 4 im)) (log 2)) (-.f64 (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 im)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (- (log (* 4 im)) (log 2)) (log 2)) (-.f64 (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 im)) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))))
#s(approx (log im) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (neg (log im)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (pow (neg (log im)) 3) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)))
#s(approx (* (neg (log im)) (neg (log im))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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 (+ im im)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (log (* 4 im)) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (- (log (* 4 im)) (log 2)) (-.f64 (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 #s(literal 2 binary64))))
#s(approx (- (- (log (* 4 im)) (log 2)) (log 2)) (-.f64 (+.f64 (log.f64 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (.f64 #s(literal 2 binary64) (log.f64 #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)))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.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)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.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
35.0ms	im	0
33.0ms	im	-inf
30.0ms	im	inf
1.0ms	re	0
0.0ms	re	inf

rewrite138.0ms (0.3%)

Memory

14.5MiB live, 249.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	219
0	59	136
1	291	119
2	1067	98
0	4135	98

Stop Event

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

Counts

29 → 980

Calls

Call 1

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

Outputs
im
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (log.f64 im))) (log.f64 im))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 #s(literal 4 binary64) im)))) (log.f64 (*.f64 #s(literal 4 binary64) im)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (neg.f64 (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (log.f64 im)) (/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (log.f64 im))) (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (fabs.f64 (log.f64 im))) (/.f64 #s(literal -1 binary64) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im))) (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (log.f64 im))) (/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 im)))
(.f64 (/.f64 (.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))) (neg.f64 (log.f64 im))) (/.f64 (fabs.f64 (log.f64 im)) (log.f64 im)))
(.f64 (/.f64 (.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))) (log.f64 im)) (/.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(.f64 (/.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (/.f64 (.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (log.f64 im)))
(.f64 (/.f64 (fabs.f64 (log.f64 im)) (log.f64 im)) (/.f64 (.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (log.f64 im) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (fabs.f64 (log.f64 im))) (/.f64 (log.f64 im) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (log.f64 im))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 im)) (neg.f64 (log.f64 im)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (log.f64 im) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (fabs.f64 (log.f64 im))) (/.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 im) (fabs.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 im)) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 im) (log.f64 im)) (log.f64 im))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64))) (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.f64 #s(literal 4 binary64) im)))) (log.f64 (*.f64 #s(literal 4 binary64) im)))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))))
(.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 (log.f64 im) (neg.f64 (log.f64 im))))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 (log.f64 im) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(*.f64 (log.f64 im) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)))) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (-.f64 (.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64))) (.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64)) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 im) #s(literal 5 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 5 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (.f64 (log.f64 #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 (+.f64 (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (+.f64 (.f64 (log.f64 #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 (-.f64 (pow.f64 (log.f64 im) #s(literal 5 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 5 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
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(.f64 (/.f64 (.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))) (log.f64 im)) (/.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(.f64 (/.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (/.f64 (.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (log.f64 im)))
(.f64 (/.f64 (fabs.f64 (log.f64 im)) (log.f64 im)) (/.f64 (.f64 (fabs.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (log.f64 im) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (fabs.f64 (log.f64 im))) (/.f64 (log.f64 im) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (log.f64 im))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 im)) (neg.f64 (log.f64 im)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (log.f64 im) (neg.f64 (fabs.f64 (log.f64 im)))) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (fabs.f64 (log.f64 im)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (fabs.f64 (log.f64 im))) (/.f64 (neg.f64 (log.f64 im)) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 im) (fabs.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (fabs.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 im)) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 im) (log.f64 im)) (log.f64 im))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64))) (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (.f64 #s(literal 4 binary64) im)))) (log.f64 (*.f64 #s(literal 4 binary64) im)))
(*.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 im im)))) (log.f64 (+.f64 im im)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))))
(.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal -2 binary64))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 (log.f64 im) (neg.f64 (log.f64 im))))
(*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(*.f64 (log.f64 im) (/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))))
(*.f64 (log.f64 im) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)))) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (-.f64 (.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64))) (.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) #s(literal 0 binary64)) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 im) #s(literal 5 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 5 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (.f64 (log.f64 #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 (+.f64 (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) im)) (log.f64 (.f64 #s(literal 4 binary64) im))) (+.f64 (.f64 (log.f64 #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 (-.f64 (pow.f64 (log.f64 im) #s(literal 5 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 im) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 5 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 im im)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 im im)) (log.f64 (+.f64 im im))) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(/.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 im))
(/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (log.f64 im)))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) im)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 im)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 im im))))
(-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 im)))
(-.f64 (log.f64 im) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 im im)))
(+.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 1/4 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(+.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 im) #s(literal 0 binary64))
(log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im im)))
(log.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)))
(log.f64 im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

eval75.0ms (0.2%)

Memory

26.5MiB live, 119.3MiB allocated; 17ms collecting garbage

Samples

14.0ms

256×

valid

Compiler

Compiled 30 025 to 4 040 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 3.0ms (72.0% of total)

ival-sub!: 1.0ms (24.0% of total)

adjust: 0.0ms (0.0% of total)

prune28.0ms (0.1%)

Memory

-30.8MiB live, 15.8MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	446	2	448
Fresh	0	0	0
Picked	3	0	3
Done	-2	7	5
Total	447	9	456

Accuracy

99.5%

Counts

456 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re)))
✓	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im)))
✓	98.7%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) im)) (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
✓	99.0%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 im im)) (log.f64 #s(literal 2 binary64))))
	98.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(approx ( (neg (log im)) 0) #s(literal 0 binary64)))))))
	76.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (log.f64 (log.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (neg.f64 (log.f64 im)) #s(literal 0 binary64)))))))
✓	10.2%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
✓	99.3%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 174 to 125 computations (28.2% saved)

regimes33.0ms (0.1%)

Memory

22.9MiB live, 69.1MiB allocated; 2ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 im im)`
99.3%	1	`(*.f64 re re)`
99.3%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.3%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.3%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.3%	1	`re`
99.3%	1	`im`

Compiler

Compiled 329 to 117 computations (64.4% saved)

derivations35.0ms (0.1%)

Memory

-24.0MiB live, 21.7MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 12 to 9 computations (25.0% saved)

preprocess11.0ms (0.0%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 113 to 74 computations (34.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze54.0ms (0.1%)

sample800.0ms (1.7%)

preprocess62.0ms (0.1%)

series28.0ms (0.1%)

rewrite133.0ms (0.3%)

eval42.0ms (0.1%)

prune10.0ms (0.0%)

series87.0ms (0.2%)

rewrite316.0ms (0.7%)

eval30.7s (64.6%)

prune37.0ms (0.1%)

series116.0ms (0.2%)

rewrite216.0ms (0.5%)

eval14.5s (30.5%)

prune13.0ms (0.0%)

series111.0ms (0.2%)

rewrite138.0ms (0.3%)

eval75.0ms (0.2%)

prune28.0ms (0.1%)

regimes33.0ms (0.1%)

derivations35.0ms (0.1%)

preprocess11.0ms (0.0%)

end0.0ms (0.0%)

Profiling