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

start0.0ms (0.0%)

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

analyze67.0ms (2.5%)

Memory

18.1MiB live, 160.4MiB allocated; 37ms 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)

sample830.0ms (30.5%)

Memory

18.8MiB live, 1 687.4MiB allocated; 343ms collecting garbage

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-hypot: 248.0ms (68.5% of total)

ival-log: 112.0ms (30.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess95.0ms (3.5%)

Memory

-36.8MiB live, 54.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(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)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series55.0ms (2.0%)

Memory

-0.5MiB live, 104.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1577

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

rewrite131.0ms (4.8%)

Memory

43.0MiB live, 371.4MiB allocated; 35ms 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)))))
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(.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)))
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(.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))))

eval167.0ms (6.1%)

Memory: -3.4MiB live, 227.9MiB allocated; 31ms collecting garbage
Compiler: Compiled 7 024 to 1 726 computations (75.4% saved)

prune15.0ms (0.5%)

Memory

-7.2MiB live, 37.8MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	359	5	364
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	359	6	365

Accuracy

99.7%

Counts

365 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re))))
✓	54.2%	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re)))
▶	0.0%	(log.f64 #s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im)))
▶	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
▶	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))

Compiler

Compiled 145 to 115 computations (20.7% saved)

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1
1/2

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series126.0ms (4.6%)

Memory

1.6MiB live, 343.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	2768

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
44.0ms	re	0
14.0ms	im	-inf
13.0ms	re	-inf
11.0ms	re	inf
10.0ms	im	inf

rewrite298.0ms (11.0%)

Memory

71.0MiB live, 307.9MiB allocated; 99ms 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 → 655

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)))
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(fabs.f64 (-.f64 (.f64 re (neg.f64 re)) (.f64 im im)))
(fabs.f64 (+.f64 (.f64 re re) (.f64 im im)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(.f64 #s(literal 2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (log.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))
(+.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (.f64 re (neg.f64 re)) (.f64 im im))))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

eval116.0ms (4.3%)

Memory: 4.1MiB live, 187.9MiB allocated; 65ms collecting garbage
Compiler: Compiled 15 252 to 3 261 computations (78.6% saved)

prune137.0ms (5.0%)

Memory

-14.7MiB live, 38.8MiB allocated; 151ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	731	5	736
Fresh	0	0	0
Picked	5	0	5
Done	0	1	1
Total	736	6	742

Accuracy

99.7%

Counts

742 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(.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)))
▶	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
▶	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
▶	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 140 to 106 computations (24.3% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
2
(log 2)

Outputs
#s(literal 2 binary64)
#s(literal 6243314768165359/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 4 computations (20.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series147.0ms (5.4%)

Memory

3.7MiB live, 427.7MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1524

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 re #s(literal 2 binary64))
(log.f64 (*.f64 re #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
(-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #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 (* re 2) (*.f64 #s(literal 2 binary64) re))
#s(approx (log (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 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 (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.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 (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 (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	re	0
32.0ms	re	inf
27.0ms	re	-inf
11.0ms	im	0
11.0ms	im	inf

rewrite122.0ms (4.5%)

Memory

-2.7MiB live, 187.0MiB allocated; 15ms 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	3896	104
0	4102	104

Stop Event

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

Counts

18 → 310

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

Outputs
re
im
(log.f64 im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (+.f64 re re))) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 re re))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re)))))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 re re)) #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 re re)) (log.f64 (+.f64 re re))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (log.f64 (*.f64 (neg.f64 re) #s(literal 8 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 re #s(literal 8 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) re))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal -1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 1/2 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) re) #s(literal 2 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) re) #s(literal 2 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) re))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) (neg.f64 re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) re)) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (.f64 #s(literal 4 binary64) re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 (+.f64 re re) #s(literal 4 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -4 binary64) re)) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 4 binary64) re)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re))))
(-.f64 (log.f64 (neg.f64 re)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)) (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) re))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) re)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re))))
(-.f64 (log.f64 re) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) re)))
(-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) re)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 re))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))
(+.f64 (log.f64 re) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) re)))
(+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))
(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)))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) re) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal -2 binary64) re) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) re)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (neg.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) #s(literal -4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 #s(literal 4 binary64) re))
(*.f64 (/.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 4 binary64) re) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (+.f64 re re))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) re)
(.f64 #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) re))
(.f64 (.f64 #s(literal -2 binary64) re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 re))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 re re) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) re))
(*.f64 (+.f64 re re) #s(literal -1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(.f64 #s(literal 2 binary64) (.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 re #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) re)))
(*.f64 (neg.f64 re) #s(literal 1 binary64))
(*.f64 re #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) re)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (.f64 #s(literal 4 binary64) re)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal -8 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) re) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) re) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) re) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 re re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) re)))
(/.f64 (+.f64 re re) #s(literal -2 binary64))
(/.f64 (neg.f64 re) #s(literal 1 binary64))
(/.f64 re #s(literal -1 binary64))
(neg.f64 re)
(-.f64 (/.f64 re #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 re)) (.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) re)) (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) re)))
(+.f64 (.f64 (neg.f64 re) #s(literal 1/2 binary64)) (.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (neg.f64 re) #s(literal 2 binary64)) (/.f64 (neg.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 re #s(literal -2 binary64)) (/.f64 re #s(literal -2 binary64)))
(+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) re)) (neg.f64 (.f64 #s(literal 1/2 binary64) re)))
(+.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal 0 binary64)))
(+.f64 (neg.f64 re) (*.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) re)) re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re re)) re)
(.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal -1/4 binary64))
(.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -4 binary64) re))
(.f64 (.f64 #s(literal -4 binary64) re) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 4 binary64) re) #s(literal 1/2 binary64))
(.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) re))
(.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 4 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 re))
(.f64 (.f64 #s(literal -2 binary64) re) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re re))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) re))
(*.f64 (+.f64 re re) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) re)
(*.f64 (neg.f64 re) #s(literal -2 binary64))
(*.f64 re #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re (neg.f64 re)))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (-.f64 re re))
(/.f64 (-.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (.f64 re re) (+.f64 (.f64 re re) (*.f64 (neg.f64 re) re))))
(/.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 4 binary64) re)) #s(literal -4 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal -2 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal -2 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) re) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) re) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) re)) #s(literal -8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 re re)) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) re)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) re) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) re) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 re re) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 re re)) #s(literal 4 binary64))
(/.f64 (*.f64 re #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re))) #s(literal -8 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) re)) #s(literal -4 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 1 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) re) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) re) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) re) #s(literal 4 binary64))
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(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
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(+.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (.f64 #s(literal 1/2 binary64) re) re))
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(log.f64 (+.f64 re re))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal -16 binary64)) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 #s(literal 16 binary64)) (log.f64 #s(literal 8 binary64)))
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(-.f64 (log.f64 #s(literal 8 binary64)) (log.f64 #s(literal 4 binary64)))
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(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (+.f64 re re))) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 re re))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re)))))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 re re)) #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 re re)) (log.f64 (+.f64 re re))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (-.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (log.f64 re)))
(-.f64 (log.f64 (*.f64 (neg.f64 re) #s(literal 8 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 re #s(literal 8 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) re))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 re re) #s(literal 4 binary64)))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal -1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 1/2 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64))) (log.f64 #s(literal -16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (.f64 (.f64 (+.f64 re re) #s(literal 4 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 16 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) re) #s(literal 2 binary64))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) re) #s(literal 2 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) re))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) (neg.f64 re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 8 binary64) re)) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal -4 binary64) re) (.f64 #s(literal 4 binary64) re))) (log.f64 #s(literal -8 binary64)))
(-.f64 (log.f64 (*.f64 (+.f64 re re) #s(literal 4 binary64))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal -4 binary64) re)) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 4 binary64) re)) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re))))
(-.f64 (log.f64 (neg.f64 re)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)) (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) re))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) re)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 re)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (+.f64 re re))))
(-.f64 (log.f64 re) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) re)))
(-.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) re)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 re))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 re re)))
(+.f64 (log.f64 re) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) re)))
(+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1/2 binary64)))
(log.f64 re)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))

eval21.0ms (0.8%)

Memory: 16.8MiB live, 63.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 566 to 1 232 computations (81.2% saved)

prune5.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	0	0
Picked	5	0	5
Done	-4	5	1
Total	294	6	300

Accuracy

99.7%

Counts

300 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(.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)))
▶	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 binary64)))
✓	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
✓	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 74 to 57 computations (23.0% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
2
6243314768165359/9007199254740992

Outputs
#s(literal 2 binary64)
#s(literal 6243314768165359/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series199.0ms (7.3%)

Memory

-38.8MiB live, 123.5MiB allocated; 213ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	882

Stop Event

1×	iter-limit

Counts

7 → 30

Calls

Call 1

Inputs
re
#s(literal 2 binary64)
(*.f64 re #s(literal 2 binary64))
(log.f64 (*.f64 re #s(literal 2 binary64)))
#s(literal 6243314768165359/9007199254740992 binary64)
(-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 binary64)))

Outputs
#s(approx re re)
#s(approx (* re 2) (*.f64 #s(literal 2 binary64) re))
#s(approx (log (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 re)))
#s(approx (- (log (* re 2)) 6243314768165359/9007199254740992) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 re)) #s(literal 6243314768165359/9007199254740992 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 (log (* re 2)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (- (log (* re 2)) 6243314768165359/9007199254740992) (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))) #s(literal 6243314768165359/9007199254740992 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 (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 (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 (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
162.0ms	re	inf
16.0ms	re	0
8.0ms	re	-inf
0.0ms	im	0
0.0ms	im	inf

rewrite113.0ms (4.2%)

Memory

14.7MiB live, 251.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
0	16	32
1	76	32
2	249	32
3	665	32
4	1467	32
0	4038	32

Stop Event

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

Counts

7 → 60

Calls

Call 1

Inputs
re
#s(literal 2 binary64)
(*.f64 re #s(literal 2 binary64))
(log.f64 (*.f64 re #s(literal 2 binary64)))
#s(literal 6243314768165359/9007199254740992 binary64)
(-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 binary64)))

Outputs
re
#s(literal 2 binary64)
(.f64 (.f64 (+.f64 re re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) re)) re)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re re)) re)
(*.f64 #s(literal 1 binary64) (+.f64 re re))
(*.f64 (+.f64 re re) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 re re)))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re re)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 re re) re) (.f64 (neg.f64 re) (.f64 re re))) (+.f64 (.f64 re re) (+.f64 (.f64 re re) (*.f64 (neg.f64 re) re))))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re (neg.f64 re)))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (-.f64 re re))
(/.f64 (+.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 re re)))
(neg.f64 (*.f64 #s(literal -2 binary64) re))
(neg.f64 (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(neg.f64 (*.f64 (+.f64 re re) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(neg.f64 (*.f64 re #s(literal -2 binary64)))
(neg.f64 (+.f64 (neg.f64 re) (neg.f64 re)))
(neg.f64 (-.f64 (neg.f64 re) re))
(-.f64 re (neg.f64 re))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 re re)) (.f64 #s(literal 1/2 binary64) (+.f64 re re)))
(+.f64 (+.f64 re re) (*.f64 (+.f64 re re) #s(literal 0 binary64)))
(+.f64 (+.f64 re re) (*.f64 #s(literal 0 binary64) (+.f64 re re)))
(+.f64 re re)
(neg.f64 (neg.f64 (log.f64 (+.f64 re re))))
(-.f64 (log.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re re))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 (log.f64 (+.f64 re re))))
(+.f64 (log.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (+.f64 re re)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re re))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 re))
(+.f64 (log.f64 re) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (+.f64 re re)) (log.f64 #s(literal 1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) re)))
(log.f64 (+.f64 re re))
#s(literal 6243314768165359/9007199254740992 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (+.f64 re re))) #s(literal -6243314768165359/9007199254740992 binary64))) #s(literal -6243314768165359/9007199254740992 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 re re)) #s(literal -6243314768165359/9007199254740992 binary64))) #s(literal -6243314768165359/9007199254740992 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re)))) (log.f64 (+.f64 re re)))
(/.f64 (-.f64 (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64)) (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re))))) (+.f64 #s(literal -6243314768165359/9007199254740992 binary64) (neg.f64 (log.f64 (+.f64 re re)))))
(/.f64 (-.f64 (pow.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 re re))) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64)) (+.f64 (.f64 (neg.f64 (log.f64 (+.f64 re re))) (neg.f64 (log.f64 (+.f64 re re)))) (*.f64 #s(literal -6243314768165359/9007199254740992 binary64) (neg.f64 (log.f64 (+.f64 re re)))))))
(/.f64 (-.f64 (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64)) (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re)))) (-.f64 #s(literal -6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re))))
(/.f64 (+.f64 (pow.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64)) (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (*.f64 #s(literal -6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64))) (-.f64 (log.f64 (+.f64 re re)) #s(literal -6243314768165359/9007199254740992 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (-.f64 (.f64 #s(literal -6243314768165359/9007199254740992 binary64) #s(literal -6243314768165359/9007199254740992 binary64)) (*.f64 (log.f64 (+.f64 re re)) #s(literal -6243314768165359/9007199254740992 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (.f64 #s(literal 6243314768165359/9007199254740992 binary64) #s(literal 6243314768165359/9007199254740992 binary64))) (+.f64 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 re re)) #s(literal 3 binary64)) (pow.f64 #s(literal 6243314768165359/9007199254740992 binary64) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 re re)) (log.f64 (+.f64 re re))) (+.f64 (.f64 #s(literal 6243314768165359/9007199254740992 binary64) #s(literal 6243314768165359/9007199254740992 binary64)) (*.f64 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64)))))
(neg.f64 (-.f64 #s(literal 6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re))))
(-.f64 #s(literal -6243314768165359/9007199254740992 binary64) (neg.f64 (log.f64 (+.f64 re re))))
(-.f64 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64))
(+.f64 #s(literal -6243314768165359/9007199254740992 binary64) (log.f64 (+.f64 re re)))
(+.f64 (log.f64 (+.f64 re re)) #s(literal -6243314768165359/9007199254740992 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64)))

eval8.0ms (0.3%)

Memory: -19.6MiB live, 25.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 168 to 430 computations (80.2% saved)

prune3.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	84	6	90

Accuracy

99.7%

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(.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)))
	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64)))
✓	10.9%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
✓	99.1%	#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))

Compiler

Compiled 74 to 56 computations (24.3% saved)

regimes39.0ms (1.4%)

Memory

-12.9MiB live, 234.1MiB allocated; 11ms collecting garbage

Counts

13 → 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 (log.f64 (+.f64 re re)) #s(literal 6243314768165359/9007199254740992 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (-.f64 (log.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 6243314768165359/9007199254740992 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 #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 re #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(*.f64 im im)`
99.1%	1	`(*.f64 re re)`
99.1%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.1%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.1%	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
99.1%	1	`re`
99.1%	1	`im`

Compiler

Compiled 206 to 83 computations (59.7% saved)

derivations15.0ms (0.6%)

Memory

-15.8MiB live, 28.8MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 12 to 9 computations (25.0% saved)

preprocess12.0ms (0.4%)

Memory

42.0MiB live, 42.0MiB 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze67.0ms (2.5%)

sample830.0ms (30.5%)

preprocess95.0ms (3.5%)

sample0.0ms (0.0%)

series55.0ms (2.0%)

rewrite131.0ms (4.8%)

eval167.0ms (6.1%)

prune15.0ms (0.5%)

sample0.0ms (0.0%)

series126.0ms (4.6%)

rewrite298.0ms (11.0%)

eval116.0ms (4.3%)

prune137.0ms (5.0%)

sample0.0ms (0.0%)

series147.0ms (5.4%)

rewrite122.0ms (4.5%)

eval21.0ms (0.8%)

prune5.0ms (0.2%)

sample0.0ms (0.0%)

series199.0ms (7.3%)

rewrite113.0ms (4.2%)

eval8.0ms (0.3%)

prune3.0ms (0.1%)

regimes39.0ms (1.4%)

derivations15.0ms (0.6%)

preprocess12.0ms (0.4%)

end0.0ms (0.0%)

Profiling