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

start0.0ms (0%)

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

analyze118.0ms (5.4%)

Memory

12.0MiB live, 253.2MiB allocated; 39ms 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 (56.1%)

Memory

14.1MiB live, 2 132.9MiB allocated; 471ms collecting garbage

Samples

649.0ms	8 256×	0	valid
190.0ms	2 497×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult!: 239.0ms (64.6% of total)

ival-sqrt: 91.0ms (24.6% of total)

ival-sub!: 38.0ms (10.3% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess67.0ms (3.1%)

Memory

-15.7MiB live, 86.3MiB allocated; 30ms 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
▶	3.3%	(.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)

series26.0ms (1.2%)

Memory

14.1MiB live, 59.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	1762

Stop Event

1×	iter-limit

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
2.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	x	@	inf	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)
1.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) x (sqrt (- (* y y) (* z z))) (- (* y y) (* z z)) (* y y) y (* z z) z)

rewrite224.0ms (10.3%)

Memory

32.4MiB live, 317.3MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	54	34
2	253	34
3	1163	34
4	2756	34
0	8298	34
1	13417	34

Stop Event

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

Counts

8 → 239

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 y z) (+.f64 z y))) x)
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
x
(pow.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y)))) (+.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 (fabs.f64 z) y))) (fabs.f64 (fabs.f64 (-.f64 y (fabs.f64 z)))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 y (fabs.f64 z)))) (fabs.f64 (fabs.f64 (+.f64 (fabs.f64 z) y))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 (fabs.f64 y) z))) (fabs.f64 (fabs.f64 (-.f64 (fabs.f64 y) z))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 (fabs.f64 y) z))) (fabs.f64 (fabs.f64 (+.f64 (fabs.f64 y) z))))
(*.f64 (fabs.f64 (fabs.f64 (-.f64 z y))) (fabs.f64 (fabs.f64 (+.f64 z y))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 z y))) (fabs.f64 (fabs.f64 (-.f64 z y))))
(*.f64 (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y))) (+.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (fabs.f64 (-.f64 z y)) (fabs.f64 (+.f64 z y)))
(*.f64 (fabs.f64 (-.f64 y (fabs.f64 z))) (fabs.f64 (+.f64 (fabs.f64 z) y)))
(*.f64 (fabs.f64 (+.f64 (fabs.f64 z) y)) (fabs.f64 (-.f64 y (fabs.f64 z))))
(*.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 z y)) (fabs.f64 (-.f64 z y)))
(*.f64 (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)) (-.f64 (fabs.f64 z) (fabs.f64 y)))
(*.f64 (-.f64 (fabs.f64 z) (fabs.f64 y)) (-.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 z)))
(*.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) (-.f64 z (fabs.f64 y)))
(*.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (+.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y)))))
(*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 (-.f64 (fabs.f64 z) (fabs.f64 y))))
(*.f64 (+.f64 (fabs.f64 y) (fabs.f64 z)) (-.f64 (fabs.f64 y) (fabs.f64 z)))
(*.f64 (+.f64 (fabs.f64 y) z) (-.f64 (fabs.f64 y) z))
(*.f64 (-.f64 (fabs.f64 y) z) (+.f64 (fabs.f64 y) z))
(*.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (-.f64 (fabs.f64 z) y))
(*.f64 (-.f64 z y) (-.f64 (neg.f64 y) z))
(*.f64 (-.f64 (neg.f64 y) z) (-.f64 z y))
(*.f64 (-.f64 y (fabs.f64 z)) (+.f64 (fabs.f64 z) y))
(*.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 z (fabs.f64 y)) (-.f64 (neg.f64 z) (fabs.f64 y)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y)))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 (+.f64 z y) (-.f64 y z))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))
(pow.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (-.f64 z y) (+.f64 z 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 (-.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) (fabs.f64 z)) (fabs.f64 y) (*.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(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 (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) z) (fabs.f64 y) (*.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z)))
(fma.f64 (+.f64 (fabs.f64 y) z) (neg.f64 z) (*.f64 (+.f64 (fabs.f64 y) z) (fabs.f64 y)))
(fma.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y) (*.f64 (-.f64 (fabs.f64 y) z) z))
(fma.f64 (-.f64 (fabs.f64 y) z) z (*.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y)))
(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 (neg.f64 y) (fabs.f64 z)) (neg.f64 y) (*.f64 (-.f64 (neg.f64 y) (fabs.f64 z)) (fabs.f64 z)))
(fma.f64 (-.f64 z y) (neg.f64 y) (*.f64 (-.f64 z y) (neg.f64 z)))
(fma.f64 (-.f64 z y) (neg.f64 z) (*.f64 (-.f64 z y) (neg.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) z) z (*.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(fma.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z) (*.f64 (-.f64 y (fabs.f64 z)) 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 (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 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 (fabs.f64 z)) (fabs.f64 z) (*.f64 y y))
(fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y))
(fma.f64 (-.f64 y z) y (*.f64 (-.f64 y z) z))
(fma.f64 (+.f64 z y) (neg.f64 z) (*.f64 (+.f64 z y) y))
(fma.f64 (+.f64 z y) y (*.f64 (+.f64 z y) (neg.f64 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 y) (+.f64 (fabs.f64 y) (fabs.f64 z)) (*.f64 (neg.f64 (fabs.f64 z)) (+.f64 (fabs.f64 y) (fabs.f64 z))))
(fma.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z) (*.f64 (neg.f64 z) (+.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) (fabs.f64 y) (*.f64 (neg.f64 z) z))
(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))))
(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 (fabs.f64 z) (-.f64 y (fabs.f64 z)) (*.f64 y (-.f64 y (fabs.f64 z))))
(fma.f64 (fabs.f64 z) (neg.f64 (fabs.f64 z)) (*.f64 y y))
(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 (neg.f64 y) (-.f64 z y) (*.f64 (neg.f64 z) (-.f64 z y)))
(fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z (-.f64 (neg.f64 y) z)))
(fma.f64 (neg.f64 y) (-.f64 (fabs.f64 z) y) (*.f64 (neg.f64 (fabs.f64 z)) (-.f64 (fabs.f64 z) y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 z) (+.f64 (fabs.f64 y) z) (*.f64 (fabs.f64 y) (+.f64 (fabs.f64 y) z)))
(fma.f64 (neg.f64 z) (-.f64 z y) (*.f64 (neg.f64 y) (-.f64 z y)))
(fma.f64 (neg.f64 z) (-.f64 z (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (-.f64 z (fabs.f64 y))))
(fma.f64 (neg.f64 z) (+.f64 z y) (*.f64 (+.f64 z y) y))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(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 z (-.f64 (fabs.f64 y) z) (*.f64 (fabs.f64 y) (-.f64 (fabs.f64 y) z)))
(fma.f64 z (-.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))
(fma.f64 z (-.f64 y z) (*.f64 (-.f64 y z) y))
(fma.f64 z (neg.f64 z) (*.f64 y y))
(fma.f64 y (-.f64 y (fabs.f64 z)) (*.f64 (fabs.f64 z) (-.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 y (-.f64 y z) (*.f64 (-.f64 y z) z))
(fma.f64 y (+.f64 z y) (*.f64 (+.f64 z y) (neg.f64 z)))
(fma.f64 y y (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))))
(-.f64 (.f64 (-.f64 y z) z) (.f64 (-.f64 z y) y))
(-.f64 (.f64 (-.f64 y z) z) (.f64 (neg.f64 y) (-.f64 y z)))
(-.f64 (.f64 (-.f64 y z) z) (neg.f64 (.f64 (-.f64 y z) y)))
(-.f64 (.f64 (-.f64 y z) y) (.f64 (-.f64 z y) z))
(-.f64 (.f64 (-.f64 y z) y) (.f64 (neg.f64 z) (-.f64 y z)))
(-.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)))
(-.f64 (.f64 (+.f64 z y) y) (.f64 z (+.f64 z y)))
(-.f64 (.f64 (+.f64 z y) y) (neg.f64 (.f64 (+.f64 z y) (neg.f64 z))))
(-.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 z z))
(fabs.f64 (-.f64 (.f64 (-.f64 z y) y) (.f64 (-.f64 y z) z)))
(fabs.f64 (-.f64 (.f64 (neg.f64 y) (-.f64 y z)) (.f64 (-.f64 y z) z)))
(fabs.f64 (-.f64 (neg.f64 (.f64 (-.f64 y z) y)) (.f64 (-.f64 y z) z)))
(fabs.f64 (-.f64 (.f64 (-.f64 z y) z) (.f64 (-.f64 y z) y)))
(fabs.f64 (-.f64 (.f64 (neg.f64 z) (-.f64 y z)) (.f64 (-.f64 y z) y)))
(fabs.f64 (-.f64 (neg.f64 (.f64 (-.f64 y z) z)) (.f64 (-.f64 y z) y)))
(fabs.f64 (-.f64 (.f64 (-.f64 (neg.f64 y) z) (neg.f64 z)) (.f64 (+.f64 z y) y)))
(fabs.f64 (-.f64 (.f64 z (+.f64 z y)) (.f64 (+.f64 z y) y)))
(fabs.f64 (-.f64 (neg.f64 (.f64 (+.f64 z y) (neg.f64 z))) (.f64 (+.f64 z y) y)))
(fabs.f64 (*.f64 (-.f64 z y) (+.f64 z y)))
(fabs.f64 (*.f64 (-.f64 y z) (+.f64 z 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 (-.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 z)) (.f64 (-.f64 (fabs.f64 y) (fabs.f64 z)) (fabs.f64 y)))
(+.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 y) z) (fabs.f64 y)) (.f64 (+.f64 (fabs.f64 y) z) (neg.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) z))
(+.f64 (.f64 (-.f64 (fabs.f64 y) z) z) (.f64 (-.f64 (fabs.f64 y) z) (fabs.f64 y)))
(+.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 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 (neg.f64 y) z) (neg.f64 y)) (.f64 (-.f64 (neg.f64 y) z) z))
(+.f64 (.f64 (-.f64 (neg.f64 y) z) z) (.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(+.f64 (.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z)) (.f64 (-.f64 y (fabs.f64 z)) y))
(+.f64 (.f64 (-.f64 y (fabs.f64 z)) y) (.f64 (-.f64 y (fabs.f64 z)) (fabs.f64 z)))
(+.f64 (.f64 (+.f64 (fabs.f64 z) y) y) (.f64 (+.f64 (fabs.f64 z) y) (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 (neg.f64 z) (fabs.f64 y)) z) (.f64 (-.f64 (neg.f64 z) (fabs.f64 y)) (neg.f64 (fabs.f64 y))))
(+.f64 (.f64 (-.f64 z (fabs.f64 y)) (neg.f64 z)) (.f64 (-.f64 z (fabs.f64 y)) (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 (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 z) (-.f64 (fabs.f64 y) (fabs.f64 z))) (.f64 (fabs.f64 y) (-.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 (fabs.f64 y) (+.f64 (fabs.f64 y) z)) (.f64 (neg.f64 z) (+.f64 (fabs.f64 y) 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 z (-.f64 (fabs.f64 y) z)))
(+.f64 (.f64 z (-.f64 (fabs.f64 y) z)) (.f64 (fabs.f64 y) (-.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 (neg.f64 y) (-.f64 z y)) (.f64 (neg.f64 z) (-.f64 z y)))
(+.f64 (.f64 (neg.f64 z) (-.f64 z y)) (.f64 (neg.f64 y) (-.f64 z y)))
(+.f64 (.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)) (.f64 z (-.f64 (neg.f64 y) z)))
(+.f64 (.f64 z (-.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)))
(+.f64 (.f64 (fabs.f64 z) (-.f64 y (fabs.f64 z))) (.f64 y (-.f64 y (fabs.f64 z))))
(+.f64 (.f64 y (-.f64 y (fabs.f64 z))) (.f64 (fabs.f64 z) (-.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 (neg.f64 y) (-.f64 (fabs.f64 z) y)) (.f64 (neg.f64 (fabs.f64 z)) (-.f64 (fabs.f64 z) y)))
(+.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 (neg.f64 z) (-.f64 z (fabs.f64 y))) (.f64 (neg.f64 (fabs.f64 y)) (-.f64 z (fabs.f64 y))))
(+.f64 (.f64 (+.f64 z y) (neg.f64 z)) (.f64 (+.f64 z y) 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 (+.f64 z y) y) (.f64 (+.f64 z y) (neg.f64 z)))
(+.f64 (.f64 (neg.f64 z) z) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 z) z))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (.f64 (.f64 (*.f64 y y) y) y))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y)))))
(fabs.f64 (neg.f64 (*.f64 y (neg.f64 (fabs.f64 y)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 y) (fabs.f64 y))))
(fabs.f64 (neg.f64 (*.f64 y (fabs.f64 y))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 y) (neg.f64 y))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) y)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 y) y)))
(fabs.f64 (*.f64 (neg.f64 y) (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 y (neg.f64 (fabs.f64 y))))
(fabs.f64 (*.f64 (neg.f64 y) (fabs.f64 y)))
(fabs.f64 (*.f64 y (fabs.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 y)))
(fabs.f64 (*.f64 (fabs.f64 y) (neg.f64 y)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 y)) y))
(fabs.f64 (*.f64 (fabs.f64 y) y))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
y
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 z z) z) z) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 z)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (.f64 (.f64 (*.f64 z z) z) z))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z)))))
(fabs.f64 (neg.f64 (*.f64 z (neg.f64 (fabs.f64 z)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 z) (fabs.f64 z))))
(fabs.f64 (neg.f64 (*.f64 z (fabs.f64 z))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 z) (neg.f64 z))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 z)) z)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 z) z)))
(fabs.f64 (*.f64 (neg.f64 z) (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 z (neg.f64 (fabs.f64 z))))
(fabs.f64 (*.f64 (neg.f64 z) (fabs.f64 z)))
(fabs.f64 (*.f64 z (fabs.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 z)))
(fabs.f64 (*.f64 (fabs.f64 z) (neg.f64 z)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 z)) z))
(fabs.f64 (*.f64 (fabs.f64 z) z))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
z

eval36.0ms (1.7%)

Memory: -15.8MiB live, 76.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 981 to 1 209 computations (59.4% saved)

prune6.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	2	292

Accuracy

99.5%

Counts

292 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (*.f64 #s(literal -1 binary64) y)))
▶	14.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 21 to 21 computations (0% saved)

series18.0ms (0.8%)

Memory

-9.1MiB live, 38.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1645

Stop Event

1×	iter-limit

Counts

8 → 50

Calls

Call 1

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

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 (* 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 (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 (* 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 (* 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) (.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 (* 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 (* 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
2.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1)
2.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1)
1.0ms	x	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1)
1.0ms	x	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1)
1.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) x y (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* -1 y) -1)

rewrite169.0ms (7.8%)

Memory

9.2MiB live, 249.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	17	46
1	62	46
2	270	46
3	1281	46
4	3498	46
0	8159	46
1	16080	46

Stop Event

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

Counts

8 → 112

Calls

Call 1

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

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(.f64 (.f64 x #s(literal 1 binary64)) y)
(.f64 (.f64 x #s(literal -1 binary64)) (neg.f64 y))
(.f64 (.f64 x (neg.f64 y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 y (.f64 #s(literal 1 binary64) x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(neg.f64 (*.f64 x (neg.f64 y)))
x
y
(.f64 #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)) x)
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)))
#s(approx (sqrt (- (* y y) (* z z))) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 y) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 2 binary64))
(neg.f64 y)
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) #s(literal 4 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) #s(literal -2 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
(+.f64 (.f64 (neg.f64 y) #s(literal 1/2 binary64)) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(+.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 0 binary64)))
(+.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))
#s(literal -1 binary64)

eval16.0ms (0.7%)

Memory: -9.8MiB live, 36.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 526 to 632 computations (58.6% saved)

prune5.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	159	2	161

Accuracy

99.5%

Counts

161 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(.f64 #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)) x)
✓	14.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 20 to 20 computations (0% saved)

series14.0ms (0.7%)

Memory

-14.3MiB live, 32.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1651

Stop Event

1×	iter-limit

Counts

5 → 50

Calls

Call 1

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

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 x)
#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 (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 y 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 (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 (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 (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 (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
2.0ms	x	@	0	((* (sqrt (- (* y y) (* z z))) x) (sqrt (- (* y y) (* z z))) (neg y) y x)
1.0ms	x	@	-inf	((* (sqrt (- (* y y) (* z z))) x) (sqrt (- (* y y) (* z z))) (neg y) y x)
1.0ms	x	@	inf	((* (sqrt (- (* y y) (* z z))) x) (sqrt (- (* y y) (* z z))) (neg y) y x)
0.0ms	y	@	-inf	((* (sqrt (- (* y y) (* z z))) x) (sqrt (- (* y y) (* z z))) (neg y) y x)
0.0ms	y	@	inf	((* (sqrt (- (* y y) (* z z))) x) (sqrt (- (* y y) (* z z))) (neg y) y x)

rewrite169.0ms (7.8%)

Memory

-4.2MiB live, 234.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	12	28
1	52	28
2	251	28
3	1162	28
4	2750	28
0	8290	28
1	13412	28

Stop Event

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

Counts

5 → 6

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 910 to 274 computations (69.9% saved)

prune2.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Accuracy

99.5%

Counts

53 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.4%	(.f64 #s(approx (sqrt (- ( y y) (* z z))) (neg.f64 y)) x)
✓	14.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 50 to 42 computations (16% saved)

regimes20.0ms (0.9%)

Memory

1.7MiB live, 44.8MiB allocated; 6ms collecting garbage

Accuracy

Total -7.3b remaining (-13.3%)

Threshold costs -7.3b (-13.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 z z)
1.0ms	(-.f64 (.f64 y y) (.f64 z z))

Results

Accuracy	Segments	Branch
14.6%	1	`(*.f64 z z)`
14.6%	1	`(*.f64 y y)`
14.6%	1	`(-.f64 (.f64 y y) (.f64 z z))`
14.6%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
14.6%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
14.6%	1	`x`
14.6%	1	`y`
14.6%	1	`z`

Compiler

Compiled 26 to 38 computations (-46.2% saved)

derivations1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess60.0ms (2.7%)

Memory

1.3MiB live, 74.0MiB allocated; 43ms 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%)

analyze118.0ms (5.4%)

sample1.2s (56.1%)

preprocess67.0ms (3.1%)

series26.0ms (1.2%)

rewrite224.0ms (10.3%)

eval36.0ms (1.7%)

prune6.0ms (0.3%)

series18.0ms (0.8%)

rewrite169.0ms (7.8%)

eval16.0ms (0.7%)

prune5.0ms (0.2%)

series14.0ms (0.7%)

rewrite169.0ms (7.8%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

regimes20.0ms (0.9%)

derivations1.0ms (0%)

preprocess60.0ms (2.7%)

end0.0ms (0%)

Profiling