Metrics for math.abs on complex

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms 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
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 10 to 5 computations (50.0% saved)

sample651.0ms (34.1%)

Memory

8.4MiB live, 1 258.4MiB allocated; 203ms collecting garbage

Samples

419.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-hypot: 187.0ms (99.4% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess83.0ms (4.3%)

Memory

-4.5MiB live, 87.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	62	50
2	157	50
3	226	50
4	520	50
5	2747	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 16 to 12 computations (25.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series36.0ms (1.9%)

Memory

4.4MiB live, 103.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	761

Stop Event

1×	iter-limit

Counts

6 → 29

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)))

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 (+ (* 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 (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 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 (+ (* 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 (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))))))))))

Calls

6 calls:

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

rewrite186.0ms (9.7%)

Memory

40.6MiB live, 364.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	46	23
2	164	23
3	482	23
4	1052	23
0	4206	23

Stop Event

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

Counts

6 → 314

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)))

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

eval57.0ms (3.0%)

Memory: -32.0MiB live, 161.5MiB allocated; 47ms collecting garbage
Compiler: Compiled 5 841 to 1 269 computations (78.3% saved)

prune10.0ms (0.5%)

Memory

-1.7MiB live, 45.0MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	332	6	338
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	332	7	339

Accuracy

91.4%

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
▶	49.5%	(sqrt.f64 #s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64))))
	5.3%	#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)))))))
▶	86.2%	#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)))))))
▶	1.8%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
▶	1.1%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
▶	4.8%	#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))

Compiler

Compiled 194 to 144 computations (25.8% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series25.0ms (1.3%)

Memory

34.9MiB live, 79.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	1019

Stop Event

1×	iter-limit

Counts

21 → 40

Calls

Call 1

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

Outputs
#s(approx re re)
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (/ (pow re 2) (pow im 2)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* 1/2 (/ (pow re 2) (pow im 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))) (+.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 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im)
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))))
#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 (+ (* 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 (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 im (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 (+ (* 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 #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 (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 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 (* -1 im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.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 (+ (* 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 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 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
6.0ms	im	-inf
2.0ms	re	0
2.0ms	re	inf
2.0ms	re	-inf
2.0ms	im	inf

rewrite210.0ms (11.0%)

Memory

12.7MiB live, 384.7MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	144
0	35	140
1	127	136
2	535	122
3	3253	122
0	4030	122

Stop Event

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

Counts

21 → 702

Calls

Call 1

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

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

eval180.0ms (9.5%)

Memory: -12.5MiB live, 464.5MiB allocated; 184ms collecting garbage
Compiler: Compiled 22 666 to 4 243 computations (81.3% saved)

prune24.0ms (1.2%)

Memory

-12.9MiB live, 75.0MiB allocated; 15ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	940	4	944
Fresh	1	0	1
Picked	5	0	5
Done	0	1	1
Total	946	5	951

Accuracy

99.7%

Counts

951 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
▶	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re))))
▶	1.1%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
▶	5.1%	#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
▶	98.2%	#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))

Compiler

Compiled 70 to 49 computations (30.0% saved)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series28.0ms (1.4%)

Memory

23.8MiB live, 61.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	885

Stop Event

1×	iter-limit

Counts

12 → 35

Calls

Call 1

Inputs
re
im
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im)
#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))
(fabs.f64 re)
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(neg.f64 re)
(sqrt.f64 (neg.f64 re))
(*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re))))

Outputs
#s(approx re re)
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im)
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))))
#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 (fabs re) (fabs.f64 re))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (neg re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) re)))
#s(approx (* (sqrt (neg re)) (sqrt (neg re))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 im (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 (sqrt (neg re)) (*.f64 re (sqrt.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (* (sqrt (neg re)) (sqrt (neg re))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 (sqrt (neg re)) (.f64 #s(literal -1 binary64) (.f64 re (sqrt.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 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 (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.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 (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 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
2.0ms	re	-inf
1.0ms	re	inf
1.0ms	re	0
1.0ms	im	-inf
1.0ms	im	inf

rewrite143.0ms (7.5%)

Memory

24.2MiB live, 263.2MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	95
0	30	85
1	121	85
2	521	77
3	2985	77
0	4049	77

Stop Event

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

Counts

12 → 296

Calls

Call 1

Inputs
re
im
#s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im)
#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))
(fabs.f64 re)
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(neg.f64 re)
(sqrt.f64 (neg.f64 re))
(*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re))))

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

eval14.0ms (0.7%)

Memory: -6.3MiB live, 41.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 326 to 643 computations (85.1% saved)

prune5.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	0	0
Picked	4	0	4
Done	-4	5	1
Total	167	6	173

Accuracy

99.7%

Counts

173 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re))))
✓	1.1%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
✓	5.1%	#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
▶	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1 binary64))))
✓	98.2%	#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))

Compiler

Compiled 85 to 61 computations (28.2% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series91.0ms (4.8%)

Memory

-48.0MiB live, 117.1MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	715

Stop Event

1×	iter-limit

Counts

7 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
41.0ms	re	-inf
31.0ms	re	0
8.0ms	re	inf
0.0ms	im	inf
0.0ms	im	0

rewrite100.0ms (5.2%)

Memory

0.3MiB live, 191.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
0	16	25
1	64	23
2	219	23
3	733	23
0	4063	23

Stop Event

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

Counts

7 → 243

Calls

Call 1

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

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

eval16.0ms (0.9%)

Memory: 16.8MiB live, 62.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 871 to 869 computations (77.6% saved)

prune6.0ms (0.3%)

Memory

-19.7MiB live, 27.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	1	0	1
Done	-1	6	5
Total	146	7	153

Accuracy

99.7%

Counts

153 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re))))
✓	1.1%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
✓	5.1%	#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (exp.f64 (.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (neg.f64 re))) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
✓	0.0%	#s(approx (sqrt (+ (* re re) (* im im))) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1 binary64))))
✓	98.2%	#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))

Compiler

Compiled 105 to 77 computations (26.7% saved)

regimes30.0ms (1.6%)

Memory

21.4MiB live, 118.2MiB allocated; 7ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* re re) (* im im))) #s(approx (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) im))

Calls

6 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	im
4.0ms	re
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 im im)`
98.2%	1	`(*.f64 re re)`
98.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
98.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
98.2%	1	`re`
98.2%	1	`im`

Compiler

Compiled 221 to 85 computations (61.5% saved)

derivations2.0ms (0.1%)

Memory

4.5MiB live, 4.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 24 to 17 computations (29.2% saved)

preprocess11.0ms (0.6%)

Memory

-20.7MiB live, 25.7MiB allocated; 3ms collecting garbage

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 208 to 129 computations (38.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample651.0ms (34.1%)

preprocess83.0ms (4.3%)

sample0.0ms (0.0%)

series36.0ms (1.9%)

rewrite186.0ms (9.7%)

eval57.0ms (3.0%)

prune10.0ms (0.5%)

sample0.0ms (0.0%)

series25.0ms (1.3%)

rewrite210.0ms (11.0%)

eval180.0ms (9.5%)

prune24.0ms (1.2%)

sample0.0ms (0.0%)

series28.0ms (1.4%)

rewrite143.0ms (7.5%)

eval14.0ms (0.7%)

prune5.0ms (0.3%)

sample0.0ms (0.0%)

series91.0ms (4.8%)

rewrite100.0ms (5.2%)

eval16.0ms (0.9%)

prune6.0ms (0.3%)

regimes30.0ms (1.6%)

derivations2.0ms (0.1%)

preprocess11.0ms (0.6%)

end0.0ms (0.0%)

Profiling