Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, B

start0.0ms (0%)

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

analyze147.0ms (1.7%)

Memory

14.1MiB live, 197.4MiB allocated; 57ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	7
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	8
32%	25%	53%	0.1%	0%	21.8%	0%	9
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	10
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	11
57.8%	37.4%	27.3%	0.1%	0%	35.1%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.2s (14.1%)

Memory

32.8MiB live, 452.7MiB allocated; 132ms collecting garbage

Samples

481.0ms	8 256×	0	valid
142.0ms	2 418×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-mult!: 172.0ms (60.2% of total)

ival-sqrt: 85.0ms (29.8% of total)

ival-sub!: 26.0ms (9.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess67.0ms (0.8%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	103
1	133	103
2	574	103
3	1163	103
4	3594	103

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Symmetry

(abs y)

(abs z)

(negabs x)

(sort y z)

Compiler

Compiled 16 to 16 computations (0% saved)

series305.0ms (3.6%)

Memory

-11.7MiB live, 32.6MiB allocated; 13ms collecting garbage

Counts

8 → 58

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
4.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
4.0ms	x	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
3.0ms	x	@	-inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)

rewrite1.7s (20.2%)

Memory

6.4MiB live, 157.8MiB allocated; 21ms collecting garbage

Counts

8 → 218

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
x
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))))
(pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))
(*.f64 (+.f64 z y) (-.f64 y z))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 (fabs.f64 (+.f64 z y)) (fabs.f64 (-.f64 y z)))
(*.f64 (fabs.f64 (-.f64 y z)) (fabs.f64 (+.f64 z y)))
(*.f64 (+.f64 (fabs.f64 y) z) (-.f64 (fabs.f64 y) z))
(*.f64 (-.f64 (fabs.f64 y) z) (+.f64 (fabs.f64 y) z))
(*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (-.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (+.f64 (fabs.f64 z) y) (-.f64 y (fabs.f64 z)))
(*.f64 (-.f64 (fabs.f64 z) y) (-.f64 (neg.f64 y) (fabs.f64 z)))
(*.f64 (-.f64 (neg.f64 y) z) (-.f64 z y))
(*.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (+.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (-.f64 (fabs.f64 z) y))
(*.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) (-.f64 z (fabs.f64 y)))
(*.f64 (-.f64 y (fabs.f64 z)) (+.f64 (fabs.f64 z) y))
(*.f64 (-.f64 z (fabs.f64 y)) (-.f64 (neg.f64 z) (fabs.f64 y)))
(*.f64 (-.f64 z y) (-.f64 (neg.f64 y) z))
(*.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (-.f64 (fabs.f64 z) (fabs.f64 y)))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 (fabs.f64 (-.f64 (fabs.f64 z) y)) (fabs.f64 (-.f64 (neg.f64 y) (fabs.f64 z))))
(*.f64 (fabs.f64 (+.f64 (fabs.f64 y) (fabs.f64 z))) (fabs.f64 (-.f64 (fabs.f64 y) (fabs.f64 z))))
(*.f64 (fabs.f64 (-.f64 (neg.f64 y) (fabs.f64 z))) (fabs.f64 (-.f64 (fabs.f64 z) y)))
(*.f64 (fabs.f64 (-.f64 (fabs.f64 y) (fabs.f64 z))) (fabs.f64 (+.f64 (fabs.f64 y) (fabs.f64 z))))
(*.f64 (fabs.f64 (-.f64 (neg.f64 y) z)) (fabs.f64 (-.f64 z y)))
(*.f64 (fabs.f64 (+.f64 (fabs.f64 y) z)) (fabs.f64 (-.f64 (fabs.f64 y) z)))
(*.f64 (fabs.f64 (-.f64 (fabs.f64 y) z)) (fabs.f64 (+.f64 (fabs.f64 y) z)))
(*.f64 (fabs.f64 (+.f64 (fabs.f64 z) y)) (fabs.f64 (-.f64 y (fabs.f64 z))))
(*.f64 (fabs.f64 (-.f64 y (fabs.f64 z))) (fabs.f64 (+.f64 (fabs.f64 z) y)))
(*.f64 (fabs.f64 (-.f64 (neg.f64 z) (fabs.f64 y))) (fabs.f64 (-.f64 z (fabs.f64 y))))
(*.f64 (fabs.f64 (-.f64 z (fabs.f64 y))) (fabs.f64 (-.f64 (neg.f64 z) (fabs.f64 y))))
(*.f64 (fabs.f64 (-.f64 z y)) (fabs.f64 (-.f64 (neg.f64 y) z)))
(*.f64 (-.f64 (fabs.f64 z) (fabs.f64 y)) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)))
(*.f64 (fabs.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))) (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))))
(*.f64 (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y))) (fabs.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))))
(fabs.f64 (*.f64 (+.f64 z y) (-.f64 z y)))
(fabs.f64 (*.f64 (+.f64 z y) (-.f64 y z)))
(+.f64 (.f64 (+.f64 z y) y) (.f64 (+.f64 z y) (neg.f64 z)))
(+.f64 (.f64 (+.f64 z y) (neg.f64 z)) (.f64 (+.f64 z y) y))
(+.f64 (.f64 (-.f64 z y) (neg.f64 y)) (.f64 (-.f64 z y) (neg.f64 z)))
(+.f64 (.f64 (-.f64 z y) (neg.f64 z)) (.f64 (-.f64 z y) (neg.f64 y)))
(+.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 y z) y))
(+.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 y z) z))
(+.f64 (.f64 (neg.f64 y) (-.f64 z y)) (.f64 (neg.f64 z) (-.f64 z y)))
(+.f64 (neg.f64 (.f64 z z)) (.f64 y y))
(+.f64 (.f64 (neg.f64 z) (-.f64 z y)) (.f64 (neg.f64 y) (-.f64 z y)))
(+.f64 (.f64 y y) (neg.f64 (.f64 z z)))
(+.f64 (.f64 (neg.f64 z) (+.f64 (fabs.f64 y) z)) (.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z)))
(+.f64 (.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z)) (.f64 (neg.f64 z) (+.f64 (fabs.f64 y) z)))
(+.f64 (.f64 (fabs.f64 z) (-.f64 (neg.f64 y) (fabs.f64 z))) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fabs.f64 z))))
(+.f64 (.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fabs.f64 z))) (.f64 (fabs.f64 z) (-.f64 (neg.f64 y) (fabs.f64 z))))
(+.f64 (.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) (fabs.f64 z))) (.f64 (fabs.f64 z) (-.f64 (fabs.f64 y) (fabs.f64 z))))
(+.f64 (.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 z))) (.f64 (neg.f64 (fabs.f64 z)) (+.f64 (fabs.f64 y) (fabs.f64 z))))
(+.f64 (.f64 (neg.f64 y) (-.f64 (fabs.f64 z) y)) (.f64 (neg.f64 (fabs.f64 z)) (-.f64 (fabs.f64 z) y)))
(+.f64 (.f64 (neg.f64 z) (-.f64 z (fabs.f64 y))) (.f64 (neg.f64 (fabs.f64 y)) (-.f64 z (fabs.f64 y))))
(+.f64 (.f64 y (-.f64 y (fabs.f64 z))) (.f64 (fabs.f64 z) (-.f64 y (fabs.f64 z))))
(+.f64 (.f64 (fabs.f64 z) (-.f64 y (fabs.f64 z))) (.f64 y (-.f64 y (fabs.f64 z))))
(+.f64 (.f64 y (+.f64 (fabs.f64 z) y)) (.f64 (neg.f64 (fabs.f64 z)) (+.f64 (fabs.f64 z) y)))
(+.f64 (.f64 z (-.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))
(+.f64 (.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)) (.f64 z (-.f64 (neg.f64 y) z)))
(+.f64 (.f64 z (-.f64 (fabs.f64 y) z)) (.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) z)))
(+.f64 (.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) z)) (.f64 z (-.f64 (fabs.f64 y) z)))
(+.f64 (.f64 z (-.f64 (neg.f64 z) (fabs.f64 y))) (.f64 (neg.f64 (fabs.f64 y)) (-.f64 (neg.f64 z) (fabs.f64 y))))
(+.f64 (.f64 (fabs.f64 z) (-.f64 (fabs.f64 y) (fabs.f64 z))) (.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) (fabs.f64 z))))
(+.f64 (.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z)) (.f64 (+.f64 (fabs.f64 y) z) (fabs.f64 y)))
(+.f64 (.f64 (+.f64 (fabs.f64 y) z) (fabs.f64 y)) (.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z)))
(+.f64 (.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (fabs.f64 z)) (.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 y)))
(+.f64 (.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 y)) (.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(+.f64 (.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y)) (.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(+.f64 (.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y)) (.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (neg.f64 (fabs.f64 z))))
(+.f64 (.f64 (-.f64 (fabs.f64 z) y) (neg.f64 y)) (.f64 (-.f64 (fabs.f64 z) y) (neg.f64 (fabs.f64 z))))
(+.f64 (.f64 (-.f64 z (fabs.f64 y)) (neg.f64 z)) (.f64 (-.f64 z (fabs.f64 y)) (neg.f64 (fabs.f64 y))))
(+.f64 (.f64 (-.f64 y (fabs.f64 z)) y) (.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z)))
(+.f64 (.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z)) (.f64 (-.f64 y (fabs.f64 z)) y))
(+.f64 (.f64 (+.f64 (fabs.f64 z) y) y) (.f64 (+.f64 (fabs.f64 z) y) (neg.f64 (fabs.f64 z))))
(+.f64 (.f64 (-.f64 (neg.f64 y) z) z) (.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(+.f64 (.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)) (.f64 (-.f64 (neg.f64 y) z) z))
(+.f64 (.f64 (-.f64 (fabs.f64 y) z) z) (.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y)))
(+.f64 (.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y)) (.f64 (-.f64 (fabs.f64 y) z) z))
(+.f64 (.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) z) (.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) (neg.f64 (fabs.f64 y))))
(+.f64 (.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 z)) (.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y)))
(+.f64 (.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (fabs.f64 z)) (.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (neg.f64 (fabs.f64 y))))
(+.f64 (.f64 (fabs.f64 z) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))) (.f64 (neg.f64 (fabs.f64 y)) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))))
(-.f64 (.f64 y y) (.f64 z z))
(-.f64 (neg.f64 (.f64 z z)) (neg.f64 (.f64 y y)))
(-.f64 (.f64 (+.f64 z y) y) (.f64 z (+.f64 z y)))
(-.f64 (.f64 (-.f64 y z) z) (.f64 (neg.f64 y) (-.f64 y z)))
(-.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 z y) y))
(-.f64 (.f64 (-.f64 y z) y) (.f64 (neg.f64 z) (-.f64 y z)))
(-.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 z y) z))
(-.f64 (.f64 (+.f64 z y) y) (neg.f64 (.f64 (+.f64 z y) (neg.f64 z))))
(-.f64 (.f64 (-.f64 y z) z) (neg.f64 (.f64 (-.f64 y z) y)))
(-.f64 (.f64 (-.f64 y z) y) (neg.f64 (.f64 (-.f64 y z) z)))
(-.f64 (.f64 (+.f64 z y) y) (.f64 (-.f64 (neg.f64 y) z) (neg.f64 z)))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(fma.f64 z (neg.f64 z) (*.f64 y y))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (neg.f64 (*.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 y y))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 y y (neg.f64 (*.f64 z z)))
(fma.f64 (+.f64 z y) y (*.f64 (+.f64 z y) (neg.f64 z)))
(fma.f64 (-.f64 y z) y (*.f64 (-.f64 y z) z))
(fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 y (+.f64 z y) (*.f64 (+.f64 z y) (neg.f64 z)))
(fma.f64 (neg.f64 z) (+.f64 z y) (*.f64 (+.f64 z y) y))
(fma.f64 (neg.f64 y) (-.f64 z y) (*.f64 (neg.f64 z) (-.f64 z y)))
(fma.f64 (neg.f64 z) (-.f64 z y) (*.f64 (neg.f64 y) (-.f64 z y)))
(fma.f64 z (-.f64 y z) (*.f64 (-.f64 y z) y))
(fma.f64 y (-.f64 y z) (*.f64 (-.f64 y z) z))
(fma.f64 (-.f64 z y) (neg.f64 y) (*.f64 (-.f64 z y) (neg.f64 z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 (-.f64 z y) (neg.f64 z) (*.f64 (-.f64 z y) (neg.f64 y)))
(fma.f64 (+.f64 z y) (neg.f64 z) (*.f64 (+.f64 z y) y))
(fma.f64 (-.f64 y (fabs.f64 z)) y (*.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z)))
(fma.f64 (+.f64 (fabs.f64 z) y) y (*.f64 (+.f64 (fabs.f64 z) y) (neg.f64 (fabs.f64 z))))
(fma.f64 (-.f64 (neg.f64 y) z) z (*.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(fma.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) z (*.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) (neg.f64 (fabs.f64 y))))
(fma.f64 (-.f64 (fabs.f64 y) z) z (*.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y)))
(fma.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y) (*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (neg.f64 (fabs.f64 z))))
(fma.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y) (*.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(fma.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y) (*.f64 (-.f64 (fabs.f64 y) z) z))
(fma.f64 (+.f64 (fabs.f64 y) z) (fabs.f64 y) (*.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z)))
(fma.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (fabs.f64 z) (*.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 y)))
(fma.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z) (*.f64 (-.f64 y (fabs.f64 z)) y))
(fma.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 z) (*.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y)))
(fma.f64 (-.f64 (neg.f64 y) z) (neg.f64 y) (*.f64 (-.f64 (neg.f64 y) z) z))
(fma.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (neg.f64 y) (*.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(fma.f64 (-.f64 (fabs.f64 z) y) (neg.f64 y) (*.f64 (-.f64 (fabs.f64 z) y) (neg.f64 (fabs.f64 z))))
(fma.f64 (-.f64 z (fabs.f64 y)) (neg.f64 z) (*.f64 (-.f64 z (fabs.f64 y)) (neg.f64 (fabs.f64 y))))
(fma.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z) (*.f64 (+.f64 (fabs.f64 y) z) (fabs.f64 y)))
(fma.f64 (neg.f64 z) (+.f64 (fabs.f64 y) z) (*.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z)))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z) (*.f64 (neg.f64 z) (+.f64 (fabs.f64 y) z)))
(fma.f64 z (-.f64 (fabs.f64 y) z) (*.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) z)))
(fma.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) z) (*.f64 z (-.f64 (fabs.f64 y) z)))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) (+.f64 (fabs.f64 y) (fabs.f64 z))))
(fma.f64 y (+.f64 (fabs.f64 z) y) (*.f64 (neg.f64 (fabs.f64 z)) (+.f64 (fabs.f64 z) y)))
(fma.f64 (neg.f64 y) (-.f64 (fabs.f64 z) y) (*.f64 (neg.f64 (fabs.f64 z)) (-.f64 (fabs.f64 z) y)))
(fma.f64 z (-.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))
(fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z (-.f64 (neg.f64 y) z)))
(fma.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) (fabs.f64 z)) (*.f64 (fabs.f64 z) (-.f64 (fabs.f64 y) (fabs.f64 z))))
(fma.f64 (fabs.f64 z) (-.f64 (fabs.f64 y) (fabs.f64 z)) (*.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) (fabs.f64 z))))
(fma.f64 (fabs.f64 z) (-.f64 (neg.f64 y) (fabs.f64 z)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fabs.f64 z))))
(fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (fabs.f64 z)) (*.f64 (fabs.f64 z) (-.f64 (neg.f64 y) (fabs.f64 z))))
(fma.f64 z (-.f64 (neg.f64 z) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (-.f64 (neg.f64 z) (fabs.f64 y))))
(fma.f64 y (-.f64 y (fabs.f64 z)) (*.f64 (fabs.f64 z) (-.f64 y (fabs.f64 z))))
(fma.f64 (fabs.f64 z) (-.f64 y (fabs.f64 z)) (*.f64 y (-.f64 y (fabs.f64 z))))
(fma.f64 (neg.f64 z) (-.f64 z (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (-.f64 z (fabs.f64 y))))
(fma.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (fabs.f64 z) (*.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (neg.f64 (fabs.f64 y))))
(fma.f64 (fabs.f64 z) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 y)) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z))))
(neg.f64 (*.f64 (+.f64 z y) (-.f64 z y)))
(pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(fabs.f64 (*.f64 y y))
(fabs.f64 (neg.f64 (*.f64 y y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(neg.f64 (neg.f64 (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
y
(neg.f64 (neg.f64 y))
(*.f64 z z)
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(fabs.f64 (*.f64 z z))
(fabs.f64 (neg.f64 (*.f64 z z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) z))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))))
(neg.f64 (neg.f64 (*.f64 z z)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (.f64 z z) (*.f64 z z)))
z
(neg.f64 (neg.f64 z))

eval33.0ms (0.4%)

Memory: -19.5MiB live, 26.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 810 to 1 111 computations (60.5% saved)

prune9.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	266	4	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	4	271

Accuracy

100.0%

Counts

271 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.0%	(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
▶	5.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
▶	1.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	12.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 47 to 47 computations (0% saved)

series884.0ms (10.5%)

Memory

-17.6MiB live, 79.7MiB allocated; 19ms collecting garbage

Counts

24 → 131

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))
(*.f64 (+.f64 z y) (-.f64 y z))
(+.f64 z y)
(-.f64 y z)

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))) -1/2 (/ (* x (pow z 2)) (pow y 2)) (* x (pow z 2)) (pow z 2) z 2 (pow y 2) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1 (* (sqrt (* (+ z y) (- y z))) x) (sqrt (* (+ z y) (- y z))) (* (+ z y) (- y z)) (+ z y) (- y z))
5.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))) -1/2 (/ (* x (pow z 2)) (pow y 2)) (* x (pow z 2)) (pow z 2) z 2 (pow y 2) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1 (* (sqrt (* (+ z y) (- y z))) x) (sqrt (* (+ z y) (- y z))) (* (+ z y) (- y z)) (+ z y) (- y z))
5.0ms	x	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))) -1/2 (/ (* x (pow z 2)) (pow y 2)) (* x (pow z 2)) (pow z 2) z 2 (pow y 2) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1 (* (sqrt (* (+ z y) (- y z))) x) (sqrt (* (+ z y) (- y z))) (* (+ z y) (- y z)) (+ z y) (- y z))
5.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))) -1/2 (/ (* x (pow z 2)) (pow y 2)) (* x (pow z 2)) (pow z 2) z 2 (pow y 2) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1 (* (sqrt (* (+ z y) (- y z))) x) (sqrt (* (+ z y) (- y z))) (* (+ z y) (- y z)) (+ z y) (- y z))
4.0ms	x	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))) -1/2 (/ (* x (pow z 2)) (pow y 2)) (* x (pow z 2)) (pow z 2) z 2 (pow y 2) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1 (* (sqrt (* (+ z y) (- y z))) x) (sqrt (* (+ z y) (- y z))) (* (+ z y) (- y z)) (+ z y) (- y z))

rewrite1.4s (16.4%)

Memory

7.0MiB live, 384.7MiB allocated; 89ms collecting garbage

Counts

24 → 768

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (- (* y y) (* z z))) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))
(*.f64 (+.f64 z y) (-.f64 y z))
(+.f64 z y)
(-.f64 y z)

Outputs
#s(approx (* (sqrt (- (* y y) (* z z))) x) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (neg.f64 #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 y))
(*.f64 y (neg.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 y))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
(.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y)
(.f64 y (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (.f64 x y))
(+.f64 (.f64 x y) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (neg.f64 (.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (.f64 (neg.f64 y) x))
(-.f64 (.f64 x y) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 z z)) #s(literal -1/2 binary64) (.f64 (.f64 x y) y)) y) (.f64 y y))
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(fma.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (neg.f64 #s(literal -1 binary64))) (neg.f64 (.f64 z z)))
(fma.f64 (.f64 y y) (fabs.f64 (neg.f64 #s(literal -1 binary64))) (neg.f64 (.f64 z z)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (neg.f64 #s(literal -1 binary64))) (neg.f64 (.f64 z z)))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 (-.f64 y z) y (*.f64 (-.f64 y z) z))
(fma.f64 y y (neg.f64 (*.f64 z z)))
(fma.f64 (+.f64 z y) y (*.f64 (+.f64 z y) (neg.f64 z)))
(fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y))
(fma.f64 (.f64 y y) (neg.f64 #s(literal -1 binary64)) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 (fabs.f64 #s(literal -1 binary64)) (.f64 y y) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 #s(literal -1 binary64)) (.f64 y y) (neg.f64 (.f64 z z)))
(fma.f64 (.f64 y y) (fabs.f64 #s(literal -1 binary64)) (neg.f64 (.f64 z z)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 (neg.f64 z) (+.f64 z y) (*.f64 (+.f64 z y) y))
(fma.f64 y (+.f64 z y) (*.f64 (+.f64 z y) (neg.f64 z)))
(fma.f64 y (-.f64 y z) (*.f64 (-.f64 y z) z))
(fma.f64 z (-.f64 y z) (*.f64 (-.f64 y z) y))
(fma.f64 (+.f64 z y) (neg.f64 z) (*.f64 (+.f64 z y) y))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (*.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) (neg.f64 (*.f64 z z)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y))) (fabs.f64 y) (neg.f64 (.f64 z z)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)) (neg.f64 (*.f64 z z)))
(fma.f64 (.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 z))) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(fma.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (*.f64 z z)))
(fma.f64 (fabs.f64 y) (.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64)) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 y)) (.f64 (neg.f64 (fabs.f64 y)) (neg.f64 #s(literal -1 binary64))) (neg.f64 (.f64 z z)))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (neg.f64 (fabs.f64 z))) (*.f64 y y))
(neg.f64 (*.f64 (+.f64 z y) (-.f64 z y)))
(pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))))
(+.f64 z y)
(+.f64 y z)
(-.f64 y (neg.f64 z))
(-.f64 z (neg.f64 y))
(-.f64 z (*.f64 (neg.f64 (neg.f64 #s(literal -1 binary64))) y))
(fma.f64 (neg.f64 #s(literal -1 binary64)) y z)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) z)
(fma.f64 y (neg.f64 #s(literal -1 binary64)) z)
(neg.f64 (-.f64 (neg.f64 y) z))
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))
(-.f64 y z)
(-.f64 (neg.f64 z) (neg.f64 y))
(fma.f64 (neg.f64 #s(literal -1 binary64)) y (neg.f64 z))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z))
(fma.f64 y (neg.f64 #s(literal -1 binary64)) (neg.f64 z))
(neg.f64 (-.f64 z y))

eval103.0ms (1.2%)

Memory: 34.9MiB live, 122.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 9 772 to 4 221 computations (56.8% saved)

prune68.0ms (0.8%)

Memory

-36.2MiB live, 20.6MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	903	2	905
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	905	4	909

Accuracy

100.0%

Counts

909 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.0%	(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
▶	5.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
▶	1.4%	#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
✓	12.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 44 to 44 computations (0% saved)

series381.0ms (4.5%)

Memory

40.0MiB live, 40.0MiB allocated; 0ms collecting garbage

Counts

14 → 68

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
(.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y)
(fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(.f64 x (.f64 z z))
x
(*.f64 z z)
z
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
y
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(neg.f64 y)

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

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	y	@	-inf	((* (sqrt (- (* y y) (* z z))) x) (* (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) y) (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) (* x (* z z)) x (* z z) z (/ -1/2 (* y y)) -1/2 (* y y) y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (neg y))
3.0ms	x	@	-inf	((* (sqrt (- (* y y) (* z z))) x) (* (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) y) (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) (* x (* z z)) x (* z z) z (/ -1/2 (* y y)) -1/2 (* y y) y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (neg y))
2.0ms	z	@	-inf	((* (sqrt (- (* y y) (* z z))) x) (* (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) y) (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) (* x (* z z)) x (* z z) z (/ -1/2 (* y y)) -1/2 (* y y) y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (neg y))
2.0ms	z	@	inf	((* (sqrt (- (* y y) (* z z))) x) (* (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) y) (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) (* x (* z z)) x (* z z) z (/ -1/2 (* y y)) -1/2 (* y y) y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (neg y))
2.0ms	x	@	inf	((* (sqrt (- (* y y) (* z z))) x) (* (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) y) (+ (* (* x (* z z)) (/ -1/2 (* y y))) x) (* x (* z z)) x (* z z) z (/ -1/2 (* y y)) -1/2 (* y y) y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (neg y))

rewrite2.0s (23.8%)

Memory

-33.7MiB live, 156.6MiB allocated; 16ms collecting garbage

Counts

14 → 868

Calls

Call 1

Inputs
#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
(.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y)
(fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x)
(.f64 x (.f64 z z))
x
(*.f64 z z)
z
(/.f64 #s(literal -1/2 binary64) (*.f64 y y))
#s(literal -1/2 binary64)
(*.f64 y y)
y
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(neg.f64 y)

Outputs
#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
(.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y)
(.f64 (.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y)) x) (/.f64 y (*.f64 y y)))
(.f64 (.f64 (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y)) x) (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 y y)))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z z) #s(literal 1 binary64)) (.f64 y x))
(.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y)))) (/.f64 y (fabs.f64 y)))
(.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x)) (neg.f64 y))
(.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y))) (/.f64 y y))
(.f64 (neg.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y)))) (/.f64 y (neg.f64 y)))
(.f64 x (fma.f64 (.f64 (.f64 z y) z) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) y))
(.f64 y (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x))
(.f64 (/.f64 y y) (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y))))
(.f64 (neg.f64 y) (neg.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x)))
(.f64 (/.f64 y (neg.f64 y)) (neg.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y)))))
(.f64 (/.f64 y (fabs.f64 y)) (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y)))))
(.f64 (neg.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y))))) (/.f64 y (neg.f64 (fabs.f64 y))))
(.f64 (.f64 y (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z z) #s(literal 1 binary64))) x)
(.f64 (/.f64 y (neg.f64 (fabs.f64 y))) (neg.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y))))))
(.f64 x (+.f64 y (/.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y) (*.f64 y y))))
(.f64 x (-.f64 (/.f64 (.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y) (*.f64 y y)) (neg.f64 y)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (.f64 y x))
(+.f64 (.f64 y x) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 y x) y) (.f64 y y)) y) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (*.f64 y y)))
(+.f64 (.f64 y (/.f64 (.f64 (.f64 y x) y) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (*.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y)) (neg.f64 (.f64 y x)))
(-.f64 (.f64 y x) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y) (.f64 y y))))
(/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) (*.f64 y y))
(/.f64 (.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y)))) y) (fabs.f64 y))
(/.f64 (.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y))) y) y)
(/.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) y) (neg.f64 (*.f64 y y)))
(/.f64 (.f64 (neg.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y)))) y) (neg.f64 y))
(/.f64 (.f64 y (.f64 (neg.f64 x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y)))) (neg.f64 (*.f64 y y)))
(/.f64 (.f64 y (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y)))) y)
(/.f64 (.f64 y (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y))))) (fabs.f64 y))
(/.f64 (.f64 y (neg.f64 (.f64 x (+.f64 y (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y))))) (neg.f64 y))
(/.f64 (fma.f64 (.f64 y x) (neg.f64 (.f64 y y)) (neg.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y))) (neg.f64 (*.f64 y y)))
(/.f64 (fma.f64 (neg.f64 (.f64 y y)) x (neg.f64 (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 z z)) y) y))) (neg.f64 y))
(/.f64 (fma.f64 (.f64 y y) x (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 z z)) y) y)) y)
(/.f64 (fma.f64 (.f64 y x) (fabs.f64 y) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (*.f64 z z)) y) (fabs.f64 y))) (fabs.f64 y))
(/.f64 (fma.f64 (.f64 y x) (.f64 y y) (.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) y)) (*.f64 y y))
(/.f64 (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) (fabs.f64 y)) (fabs.f64 y))
(/.f64 (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) y) y)
(/.f64 (/.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y))) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(/.f64 (neg.f64 (.f64 (.f64 y x) (fma.f64 (.f64 z #s(literal -1/2 binary64)) z (.f64 y y)))) (neg.f64 (*.f64 y y)))
(/.f64 (.f64 (neg.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y))))) y) (neg.f64 (fabs.f64 y)))
(/.f64 (.f64 y (neg.f64 (.f64 x (+.f64 (fabs.f64 y) (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) (fabs.f64 y)))))) (neg.f64 (fabs.f64 y)))
(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) (/.f64 y (.f64 y y)) (*.f64 y x))
(fma.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z z)) (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 y y)) (.f64 y x))
(fma.f64 (.f64 x (.f64 z z)) (/.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))
(fma.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) (/.f64 (.f64 z z) (.f64 y y)) (*.f64 y x))
(fma.f64 (.f64 (.f64 y x) (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (*.f64 y x))
(fma.f64 (.f64 (.f64 y x) z) (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))
(fma.f64 (.f64 (.f64 y x) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (.f64 z z) y) (.f64 y x))
(fma.f64 (/.f64 (.f64 x (.f64 z z)) y) (/.f64 (.f64 y #s(literal -1/2 binary64)) y) (.f64 y x))
(fma.f64 (.f64 (.f64 z y) z) (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y y)) (*.f64 y x))
(fma.f64 (/.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) z) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y x)) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z z) y) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 y x)) (.f64 y x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 (.f64 y x) (.f64 z z)) (*.f64 y x))
(fma.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) y) (/.f64 (.f64 x (.f64 z z)) y) (.f64 y x))
(fma.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 z y) z) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 z (.f64 y x)) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 x (.f64 z y)) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y)) (.f64 (.f64 y x) z) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z z) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (.f64 y x)) (*.f64 y x))
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eval94.0ms (1.1%)

Memory: 27.5MiB live, 71.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 063 to 3 400 computations (66.2% saved)

prune21.0ms (0.2%)

Memory

-27.5MiB live, 19.5MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	926	0	926
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	926	4	930

Accuracy

100.0%

Counts

930 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.0%	(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
✓	5.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
✓	1.4%	#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
✓	12.5%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 102 to 87 computations (14.7% saved)

regimes19.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Accuracy

Total -8.0b remaining (-14.3%)

Threshold costs -8b (-14.3%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
#s(approx (* (sqrt (- (* y y) (* z z))) x) (.f64 (fma.f64 (.f64 x (.f64 z z)) (/.f64 #s(literal -1/2 binary64) (.f64 y y)) x) y))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Calls

8 calls:

3.0ms	(*.f64 y y)
2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
12.5%	1	`(*.f64 z z)`
12.5%	1	`(*.f64 y y)`
12.5%	1	`(-.f64 (.f64 y y) (.f64 z z))`
12.5%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
12.5%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
12.5%	1	`x`
12.5%	1	`y`
12.5%	1	`z`

Compiler

Compiled 26 to 38 computations (-46.2% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess24.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Remove

(abs z)

(sort y z)

(negabs x)

Compiler

Compiled 158 to 158 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze147.0ms (1.7%)

sample1.2s (14.1%)

preprocess67.0ms (0.8%)

series305.0ms (3.6%)

rewrite1.7s (20.2%)

eval33.0ms (0.4%)

prune9.0ms (0.1%)

series884.0ms (10.5%)

rewrite1.4s (16.4%)

eval103.0ms (1.2%)

prune68.0ms (0.8%)

series381.0ms (4.5%)

rewrite2.0s (23.8%)

eval94.0ms (1.1%)

prune21.0ms (0.2%)

regimes19.0ms (0.2%)

derivations0.0ms (0%)

preprocess24.0ms (0.3%)

end0.0ms (0%)

Profiling