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

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

Algorithm

1×

random

Compiler

Compiled 10 to 5 computations (50.0% saved)

sample472.0ms (29.2%)

Memory

-12.9MiB live, 765.0MiB allocated; 156ms collecting garbage

Samples

307.0ms	8 251×	0	valid
0.0ms	6×	5	valid
0.0ms	5×	1	valid

Bogosity

preprocess29.0ms (1.8%)

Memory

28.9MiB live, 73.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	85	50
2	732	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(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

series26.0ms (1.6%)

Memory

-5.5MiB live, 44.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	634

Stop Event

1×	iter-limit

Counts

6 → 30

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 #s(literal 0 binary64))
#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)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (*.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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* 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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
17.0ms	re	inf
1.0ms	im	inf
1.0ms	im	0
1.0ms	re	0
0.0ms	re	-inf

rewrite171.0ms (10.6%)

Memory

8.3MiB live, 244.4MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	42	23
2	328	23
0	4363	23
0	4475	16

Stop Event

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

Counts

6 → 144

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 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.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 re re)
(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))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (.f64 (.f64 (*.f64 re re) re) re))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
im
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (*.f64 (+.f64 re im) (-.f64 re im)))))
(/.f64 (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (fma.f64 im im (.f64 re re))) (.f64 (+.f64 im re) (-.f64 im re)))
(/.f64 (.f64 (.f64 (fma.f64 im im (.f64 re re)) (-.f64 re im)) (+.f64 re im)) (.f64 (+.f64 re im) (-.f64 re im)))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (.f64 (+.f64 re im) (-.f64 re im)))))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))
(neg.f64 (fma.f64 (neg.f64 re) re (*.f64 (neg.f64 im) im)))
(neg.f64 (-.f64 (.f64 (neg.f64 re) re) (.f64 im im)))
(neg.f64 (neg.f64 (fma.f64 im im (*.f64 re re))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 im im))
(fma.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 re #s(literal 1 binary64)) re (*.f64 im im))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 im im (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 im im (*.f64 re re))
(fma.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 (fma.f64 im im (.f64 re re)) (fma.f64 im im (*.f64 re re))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(fabs.f64 (.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(fabs.f64 (fma.f64 im im (*.f64 re re)))
(+.f64 (.f64 im im) (.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(fabs.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) re)
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) im)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 im (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im re)
(hypot.f64 re (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)

eval16.0ms (1.0%)

Memory: -5.0MiB live, 40.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 935 to 409 computations (78.9% saved)

prune7.0ms (0.4%)

Memory

-28.5MiB live, 17.8MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	166	4	170

Accuracy

100.0%

Counts

170 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 re im)
▶	49.7%	(sqrt.f64 (fma.f64 re re (*.f64 im im)))
▶	1.7%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
▶	1.0%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample0.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB 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)

series7.0ms (0.4%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	637

Stop Event

1×	iter-limit

Counts

11 → 30

Calls

Call 1

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

Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (* -1 re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* 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))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* -1 im) (*.f64 #s(literal -1 binary64) 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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
0.0ms	im	inf
0.0ms	re	inf
0.0ms	re	0
0.0ms	im	0
0.0ms	re	-inf

rewrite169.0ms (10.5%)

Memory

-10.8MiB live, 320.5MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	19	34
1	55	34
2	359	33
0	4396	33
0	4508	33

Stop Event

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

Counts

11 → 466

Calls

Call 1

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

Outputs
re
im
(.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) (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(.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 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 (neg.f64 (fabs.f64 im)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fabs.f64 im)) (.f64 (fabs.f64 im) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(.f64 (.f64 (neg.f64 im) im) #s(literal -1 binary64))
(.f64 (fabs.f64 im) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) re)
(*.f64 re #s(literal -1 binary64))
(neg.f64 re)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(.f64 #s(literal 1 binary64) (fma.f64 im im (.f64 re re)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(.f64 (sqrt.f64 (fma.f64 im im (.f64 re re))) (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 re) re (.f64 (neg.f64 im) im)))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 re) re) (*.f64 im im)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 im im (.f64 re re))))
(pow.f64 (.f64 (fma.f64 im im (.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (*.f64 (+.f64 re im) (-.f64 re im)))))
(/.f64 (.f64 (.f64 (+.f64 im re) (-.f64 im re)) (fma.f64 im im (.f64 re re))) (.f64 (+.f64 im re) (-.f64 im re)))
(/.f64 (.f64 (.f64 (+.f64 re im) (-.f64 re im)) (fma.f64 im im (.f64 re re))) (.f64 (+.f64 re im) (-.f64 re im)))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (.f64 (+.f64 re im) (-.f64 re im)))))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))
(neg.f64 (fma.f64 (neg.f64 re) re (*.f64 (neg.f64 im) im)))
(neg.f64 (-.f64 (.f64 (neg.f64 re) re) (.f64 im im)))
(neg.f64 (neg.f64 (fma.f64 im im (*.f64 re re))))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (*.f64 im im))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) (.f64 #s(literal -1 binary64) (fabs.f64 re)) (*.f64 im im))
(fma.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (*.f64 im im))
(fma.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) (.f64 (fabs.f64 re) #s(literal -1 binary64)) (*.f64 im im))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 #s(literal -1 binary64) (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 #s(literal -1 binary64) (fabs.f64 im)) (*.f64 re re))
(fma.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (*.f64 re re))
(fma.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 (fabs.f64 im) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 (fabs.f64 im) #s(literal -1 binary64)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 re #s(literal 1 binary64)) re (*.f64 im im))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im (*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re)))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im (*.f64 re re))
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(hypot.f64 im (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im re)
(hypot.f64 re (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 re (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 re (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 re (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 re (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 im im (.f64 re re)))) (sqrt.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(fabs.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))) im)
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) (.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 re)) (.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 re)) im)
(hypot.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (fabs.f64 im))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) (neg.f64 im))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)) im)
(hypot.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (.f64 (fabs.f64 re) #s(literal -1 binary64)) (.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 re) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (*.f64 (fabs.f64 re) #s(literal -1 binary64)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (*.f64 (fabs.f64 re) #s(literal -1 binary64)) (fabs.f64 im))
(hypot.f64 (*.f64 (fabs.f64 re) #s(literal -1 binary64)) (neg.f64 im))
(hypot.f64 (*.f64 (fabs.f64 re) #s(literal -1 binary64)) im)
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))) re)
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (.f64 #s(literal -1 binary64) (fabs.f64 im)) (.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 im)) re)
(hypot.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (fabs.f64 re))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) (neg.f64 re))
(hypot.f64 (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)) re)
(hypot.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (.f64 (fabs.f64 im) #s(literal -1 binary64)) (.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (fabs.f64 re))
(hypot.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) (neg.f64 re))
(hypot.f64 (*.f64 (fabs.f64 im) #s(literal -1 binary64)) re)
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) im)
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (*.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (*.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 re)) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (fabs.f64 im) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (fabs.f64 im) (*.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (fabs.f64 im) (*.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 re) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (fabs.f64 re) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 im) (*.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 re) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 re) (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 im (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 re))))
(hypot.f64 im (*.f64 #s(literal -1 binary64) (fabs.f64 re)))
(hypot.f64 im (*.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(hypot.f64 im (*.f64 (fabs.f64 re) #s(literal -1 binary64)))
(hypot.f64 im (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im re)
(hypot.f64 re (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 im))))
(hypot.f64 re (*.f64 #s(literal -1 binary64) (fabs.f64 im)))
(hypot.f64 re (*.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(hypot.f64 re (*.f64 (fabs.f64 im) #s(literal -1 binary64)))
(hypot.f64 re (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)

eval38.0ms (2.4%)

Memory: 41.4MiB live, 85.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 361 to 600 computations (82.1% saved)

prune16.0ms (1.0%)

Memory

-32.4MiB live, 23.0MiB allocated; 10ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	326	5	331

Accuracy

100.0%

Counts

331 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 re im)
✓	49.7%	(sqrt.f64 (fma.f64 re re (*.f64 im im)))
▶	2.6%	#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64))))
▶	1.7%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
▶	1.0%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.0ms (0.0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
-1

Outputs
#s(literal 0 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

series9.0ms (0.5%)

Memory

-18.1MiB live, 26.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	561

Stop Event

1×	iter-limit

Counts

11 → 25

Calls

Call 1

Inputs
re
im
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal -1 binary64)
(neg.f64 re)
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64))))

Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx im im)
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	re	inf
0.0ms	re	0
0.0ms	im	inf
0.0ms	im	-inf
0.0ms	im	0

rewrite179.0ms (11.1%)

Memory

34.6MiB live, 315.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
0	18	50
1	51	50
2	341	50
0	4411	50
0	4524	35

Stop Event

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

Counts

11 → 13

Calls

Call 1

Inputs
re
im
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal -1 binary64)
(neg.f64 re)
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64))))

Outputs
re
im
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
#s(literal -1 binary64)
(neg.f64 re)
(neg.f64 im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64)))
(*.f64 #s(approx re #s(literal 0 binary64)) #s(literal -1 binary64))
(neg.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 binary64))))

eval3.0ms (0.2%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 482 to 99 computations (79.5% saved)

prune2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	29	5	34

Accuracy

100.0%

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 re im)
✓	49.7%	(sqrt.f64 (fma.f64 re re (*.f64 im im)))
▶	2.6%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 binary64))))
✓	1.7%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
✓	1.0%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
0

Outputs
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

series101.0ms (6.3%)

Memory

-56.8MiB live, 14.2MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	564

Stop Event

1×	iter-limit

Counts

5 → 25

Calls

Call 1

Inputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
(neg.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 binary64))))

Outputs
#s(approx re #s(literal 0 binary64))
#s(approx re re)
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (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) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))

Calls

6 calls:

Time	Variable	Point
0.0ms	re	inf
0.0ms	re	-inf
0.0ms	re	0
0.0ms	im	0
0.0ms	im	inf

rewrite196.0ms (12.1%)

Memory

24.7MiB live, 265.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	11	22
1	44	22
2	334	22
0	4403	22
0	4516	17

Stop Event

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

Counts

5 → 5

Calls

Call 1

Inputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
(neg.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 binary64))))

Outputs
re
#s(literal 0 binary64)
#s(approx re #s(literal 0 binary64))
(neg.f64 #s(approx re #s(literal 0 binary64)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 binary64))))

eval2.0ms (0.1%)

Memory: 8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 469 to 95 computations (79.7% saved)

prune39.0ms (2.4%)

Memory

-41.1MiB live, 5.5MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	24	5	29

Accuracy

100.0%

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 re im)
✓	49.7%	(sqrt.f64 (fma.f64 re re (*.f64 im im)))
✓	1.7%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
✓	1.0%	#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
	99.2%	#s(approx (sqrt (+ (* re re) (* im im))) im)

Compiler

Compiled 15 to 8 computations (46.7% saved)

regimes65.0ms (4.0%)

Memory

38.8MiB live, 177.9MiB allocated; 20ms collecting garbage

Counts

9 → 1

10 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* re re) (* im im))) im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 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) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Outputs
#s(approx (sqrt (+ (* re re) (* im im))) im)

Call 2

Inputs
#s(approx (sqrt (+ (* re re) (* im im))) im)
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 #s(approx re #s(literal 0 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) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) #s(approx re #s(literal 0 binary64))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 re im)

Outputs
(hypot.f64 re im)

Calls

12 calls:

22.0ms	(+.f64 (.f64 re re) (.f64 im im))
7.0ms	im
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 im im)`
99.2%	1	`(*.f64 re re)`
99.2%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.2%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
99.2%	1	`re`
99.2%	1	`im`
100.0%	1	`(*.f64 im im)`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 80 to 51 computations (36.3% saved)

derivations45.0ms (2.8%)

Memory

-20.5MiB live, 65.9MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 4 to 3 computations (25.0% saved)

preprocess21.0ms (1.3%)

Memory

26.1MiB live, 84.7MiB allocated; 8ms collecting garbage

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 40 to 36 computations (10.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample472.0ms (29.2%)

preprocess29.0ms (1.8%)

sample0.0ms (0.0%)

series26.0ms (1.6%)

rewrite171.0ms (10.6%)

eval16.0ms (1.0%)

prune7.0ms (0.4%)

sample0.0ms (0.0%)

series7.0ms (0.4%)

rewrite169.0ms (10.5%)

eval38.0ms (2.4%)

prune16.0ms (1.0%)

sample1.0ms (0.0%)

series9.0ms (0.5%)

rewrite179.0ms (11.1%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series101.0ms (6.3%)

rewrite196.0ms (12.1%)

eval2.0ms (0.1%)

prune39.0ms (2.4%)

regimes65.0ms (4.0%)

derivations45.0ms (2.8%)

preprocess21.0ms (1.3%)

end0.0ms (0.0%)

Profiling