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

start0.0ms (0%)

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

analyze53.0ms (1.5%)

Memory

-1.6MiB live, 53.9MiB allocated; 23ms 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
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample822.0ms (22.8%)

Memory

22.1MiB live, 1 350.4MiB allocated; 259ms collecting garbage

Samples

543.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-mult!: 190.0ms (58.6% of total)

ival-div!: 88.0ms (27.2% of total)

ival-sub!: 28.0ms (8.6% of total)

ival-add!: 16.0ms (4.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess29.0ms (0.8%)

Memory

17.1MiB live, 61.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	153
1	217	134
2	1381	134

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Symmetry

(abs x)

(abs z)

(negabs y)

Compiler

Compiled 30 to 22 computations (26.7% saved)

series24.0ms (0.7%)

Memory

15.2MiB live, 59.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	665

Stop Event

1×	iter-limit

Counts

11 → 31

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
6.0ms	y	inf
2.0ms	y	0
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	x	0

rewrite197.0ms (5.5%)

Memory

-18.8MiB live, 293.0MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	59	49
2	312	47
3	2077	47
0	4631	45

Stop Event

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

Counts

11 → 859

Calls

Call 1

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

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

eval126.0ms (3.5%)

Memory: -8.9MiB live, 298.7MiB allocated; 77ms collecting garbage
Compiler: Compiled 19 983 to 2 380 computations (88.1% saved)

prune40.0ms (1.1%)

Memory

6.3MiB live, 62.6MiB allocated; 30ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	873	8	881
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	874	8	882

Accuracy

100.0%

Counts

882 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.6%	(fma.f64 z (/.f64 z (.f64 #s(literal -2 binary64) y)) (.f64 (+.f64 y (/.f64 (*.f64 x x) y)) #s(literal 1/2 binary64)))
▶	93.3%	(fma.f64 x (/.f64 x (+.f64 y y)) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 2 binary64)))
▶	76.1%	(/.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (+.f64 y y))
	56.4%	(/.f64 (.f64 (fma.f64 (.f64 x x) y (.f64 (.f64 (+.f64 z y) (-.f64 y z)) y)) #s(literal 1 binary64)) (.f64 (.f64 y y) #s(literal 2 binary64)))
	76.0%	(.f64 (fma.f64 (+.f64 x z) (-.f64 x z) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))
	86.9%	(.f64 (+.f64 y (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y)) #s(literal 1/2 binary64))
▶	71.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	27.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 294 to 206 computations (29.9% saved)

series71.0ms (2%)

Memory

-4.2MiB live, 133.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	494	3419

Stop Event

1×	iter-limit

Counts

36 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
9.0ms	x	inf
8.0ms	z	inf
7.0ms	y	0
5.0ms	y	-inf
5.0ms	y	inf

rewrite147.0ms (4.1%)

Memory

35.8MiB live, 224.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	262
0	73	260
1	230	258
2	1223	258
0	4122	253

Stop Event

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

Counts

36 → 1 598

Calls

Call 1

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

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

eval189.0ms (5.3%)

Memory: -33.9MiB live, 346.9MiB allocated; 79ms collecting garbage
Compiler: Compiled 36 868 to 5 107 computations (86.1% saved)

prune26.0ms (0.7%)

Memory

6.4MiB live, 58.1MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 361	6	1 367
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	1 368	7	1 375

Accuracy

100.0%

Counts

1 375 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z y)))
▶	65.9%	(fma.f64 z (/.f64 z (.f64 #s(literal -2 binary64) y)) (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal 1/2 binary64)))
	56.4%	(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) y (.f64 y (.f64 (.f64 z #s(literal -1/2 binary64)) z))) (.f64 y y))
▶	64.7%	(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 y y))
▶	73.8%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
▶	84.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 y y))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	27.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 265 to 178 computations (32.8% saved)

series76.0ms (2.1%)

Memory

14.9MiB live, 151.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	808	5381

Stop Event

1×	iter-limit

Counts

36 → 188

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
8.0ms	x	0
6.0ms	z	inf
5.0ms	x	-inf
5.0ms	y	0
4.0ms	y	-inf

rewrite207.0ms (5.8%)

Memory

11.0MiB live, 299.7MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	269
0	81	265
1	230	263
2	1060	261
0	4071	261

Stop Event

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

Counts

36 → 1 345

Calls

Call 1

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

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

eval221.0ms (6.1%)

Memory: -21.5MiB live, 399.3MiB allocated; 55ms collecting garbage
Compiler: Compiled 40 779 to 5 262 computations (87.1% saved)

prune29.0ms (0.8%)

Memory

33.8MiB live, 79.3MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 510	5	1 515
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	1 513	9	1 522

Accuracy

100.0%

Counts

1 522 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.7%	(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z y)))
▶	65.9%	(fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal 1/2 binary64)))
▶	56.4%	(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) #s(literal 1/2 binary64)) y (.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) z) y)) (.f64 y y))
✓	64.7%	(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 y y))
▶	44.2%	(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 #s(approx (+ x z) z) (-.f64 x z))) (+.f64 y y))
▶	64.6%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 z x) (-.f64 x z))))
▶	50.0%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (fma.f64 (/.f64 z y) (.f64 y y) (.f64 y x)) (.f64 y (.f64 y y)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	84.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 y y))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	27.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 345 to 217 computations (37.1% saved)

series113.0ms (3.2%)

Memory

-26.9MiB live, 163.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	770	5969

Stop Event

1×	iter-limit

Counts

38 → 187

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (/ z y) z) -1/2) (* (+ y (/ (* x x) y)) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ (* (* (/ z y) z) -1/2) (* (+ y (/ (* x x) y)) 1/2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (* (+ y (/ (* x x) y)) 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (+ y (/ (* x x) y)) 1/2) (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (+ y (/ (* x x) y)) y)
#s(approx (+ y (/ (* x x) y)) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z y) (/.f64 z y))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))))
#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y) (.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 z y) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (+.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* (+ x z) (- x z)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (+ x z) (- x z)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z)))))
#s(approx (* (+ x z) (- x z)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))))))
#s(approx (+ x z) z)
#s(approx (+ x z) (+.f64 x z))
#s(approx (- x z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- x z) (-.f64 x z))
#s(approx x x)
#s(approx (/ (+ (* (* (+ (* y y) (* x x)) 1/2) y) (* (* (* -1/2 z) z) y)) (* y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* (* (+ (* y y) (* x x)) 1/2) y) (* (* (* -1/2 z) z) y)) (fma.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)))))
#s(approx (+ (* (* (+ (* y y) (* x x)) 1/2) y) (* (* (* -1/2 z) z) y)) (fma.f64 #s(literal -1/2 binary64) (.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64))))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ (* y y) (* x x)) 1/2) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* y y) (* x x)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* y y) (* x x)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (* (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (.f64 y (+.f64 #s(literal 1/2 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 y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (.f64 y (+.f64 #s(literal 1/2 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 y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 y (+.f64 #s(literal 1/2 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 y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (+.f64 #s(literal 1/2 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 y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (+.f64 #s(literal 1/2 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 1/2 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))))
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#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) #s(literal 1/2 binary64))
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#s(approx (* -1/2 z) (*.f64 #s(literal -1/2 binary64) z))
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#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))))
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#s(approx (+ (* (* (/ z y) z) -1/2) (* (+ y (/ (* x x) y)) 1/2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(approx (+ (* (* (/ z y) z) -1/2) (* (+ y (/ (* x x) y)) 1/2)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x z)) #s(literal 1 binary64))))
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#s(approx (+ x z) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))
#s(approx (- x z) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
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#s(approx (* (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (*.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 y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
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#s(approx (+ (* (/ z y) (* y y)) (* y x)) (.f64 z (+.f64 y (/.f64 (.f64 x y) z))))
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#s(approx (/ (+ (* (+ x z) (- x z)) (* y y)) (+ y y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) z)) #s(literal 1 binary64))))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z)))) z)) #s(literal 1 binary64))))
#s(approx (* (+ x z) (- x z)) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64))))
#s(approx (+ x z) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (- x z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))
#s(approx (* (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (* (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) y) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) z) (.f64 #s(literal 1/2 binary64) (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) 1/2) 1/2) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) z) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* (- x z) (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ (+ (* (/ z y) (* y y)) (* y x)) (* y (* y y))) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (+ (* (/ z y) (* y y)) (* y x)) (.f64 #s(literal -1 binary64) (.f64 z (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable	Point
17.0ms	y	-inf
7.0ms	x	inf
5.0ms	y	inf
4.0ms	y	0
4.0ms	z	inf

rewrite176.0ms (4.9%)

Memory

24.9MiB live, 224.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	388
0	85	373
1	249	363
2	1237	351
0	4018	340

Stop Event

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

Counts

38 → 1 112

Calls

Call 1

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

Outputs
(neg.f64 (-.f64 (.f64 #s(approx (+ y (/ ( x x) y)) y) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)))
(fma.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z) (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ (* x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)) (neg.f64 (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 z (.f64 (/.f64 z y) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ (* x x) y)) y)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) z)) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ ( x x) y)) y))) #s(literal 1/2 binary64)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) z)) (neg.f64 (.f64 #s(approx (+ y (/ ( x x) y)) y) #s(literal -1/2 binary64))))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -1/2 binary64) z)) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)))
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)) (.f64 #s(approx (+ y (/ ( x x) y)) y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z y) z)))
(-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)) (.f64 (neg.f64 (.f64 (/.f64 z y) z)) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)) (.f64 (neg.f64 (/.f64 z y)) (.f64 #s(literal -1/2 binary64) z)))
(-.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)) (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)) (.f64 (neg.f64 (neg.f64 #s(approx (+ y (/ ( x x) y)) y))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)) (neg.f64 (.f64 #s(approx (+ y (/ ( x x) y)) y) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)) (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z)))
(*.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) y))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 z y))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 z z) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 z #s(literal 1 binary64)) y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 z y)
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
z
y
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) #s(approx (+ y (/ ( x x) y)) y))
(.f64 #s(approx (+ y (/ ( x x) y)) y) #s(literal 1/2 binary64))
#s(approx (+ y (/ (* x x) y)) y)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) y) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))))
(.f64 (neg.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z)))) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
(.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (.f64 (-.f64 x z) #s(approx (+ x z) z)))))) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 2 binary64)) y)
(/.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))))) (+.f64 y y))
(/.f64 (neg.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (.f64 (-.f64 x z) #s(approx (+ x z) z)))) (.f64 #s(literal -2 binary64) y))
(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) (+.f64 y y))
(neg.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (.f64 (-.f64 x z) #s(approx (+ x z) z))) (.f64 #s(literal -2 binary64) y)))
#s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z)))
(*.f64 (-.f64 x z) #s(approx (+ x z) z))
(*.f64 #s(approx (+ x z) z) (-.f64 x z))
(neg.f64 (*.f64 (-.f64 z x) #s(approx (+ x z) z)))
(neg.f64 (*.f64 #s(approx (+ x z) z) (-.f64 z x)))
(fma.f64 #s(approx (+ x z) z) x (*.f64 #s(approx (+ x z) z) (neg.f64 z)))
(fma.f64 x #s(approx (+ x z) z) (*.f64 (neg.f64 z) #s(approx (+ x z) z)))
(+.f64 (.f64 #s(approx (+ x z) z) x) (.f64 #s(approx (+ x z) z) (neg.f64 z)))
(+.f64 (.f64 x #s(approx (+ x z) z)) (.f64 (neg.f64 z) #s(approx (+ x z) z)))
#s(approx (+ x z) z)
(neg.f64 (-.f64 z x))
(-.f64 x (neg.f64 (neg.f64 z)))
(-.f64 x z)
(+.f64 (neg.f64 z) x)
(+.f64 x (neg.f64 z))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 y (neg.f64 y))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) y))
(+.f64 y (neg.f64 (neg.f64 y)))
(+.f64 y y)
(.f64 (.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))))
(.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z)))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) y))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z)))) (+.f64 y y))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) (+.f64 x z)))) (neg.f64 y))
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(fma.f64 (/.f64 z y) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (.f64 y y)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (.f64 y y)) (/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (.f64 y y)) (.f64 x (/.f64 y (.f64 (.f64 y y) y))))
(fma.f64 (/.f64 z y) (/.f64 (/.f64 (.f64 y y) y) (.f64 y y)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (*.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 (/.f64 (.f64 y y) y) (.f64 y y)) (/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (*.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 (/.f64 (.f64 y y) y) (.f64 y y)) (.f64 x (/.f64 y (.f64 (*.f64 y y) y))))
(fma.f64 (/.f64 z y) (/.f64 y (.f64 y y)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 y (.f64 y y)) (/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 y (.f64 y y)) (.f64 x (/.f64 y (.f64 (.f64 y y) y))))
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (*.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (*.f64 y y) y)))
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (.f64 (*.f64 y y) y))))
(fma.f64 y (/.f64 x (.f64 (.f64 y y) y)) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)))
(-.f64 (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (neg.f64 x) y) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (/.f64 (.f64 x y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) y) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (/.f64 (.f64 x y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 z y)) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (/.f64 (.f64 x y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (neg.f64 (/.f64 z y)) (.f64 y y)) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (/.f64 (.f64 x y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (neg.f64 (.f64 (.f64 z #s(literal 1 binary64)) y)) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) y) (.f64 (*.f64 y y) y)))
(-.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (/.f64 z y)) (.f64 (*.f64 y y) y)))
(-.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (.f64 (neg.f64 (/.f64 z y)) (.f64 y y)) (.f64 (*.f64 y y) y)))
(-.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (neg.f64 (.f64 (.f64 z #s(literal 1 binary64)) y)) (.f64 (*.f64 y y) y)))
(-.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (.f64 (*.f64 (neg.f64 y) y) y)))
(-.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (/.f64 (/.f64 (.f64 (neg.f64 x) y) y) (.f64 y y)))
(-.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (neg.f64 (.f64 x (/.f64 y (.f64 (*.f64 y y) y)))))
(-.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (/.f64 (.f64 (neg.f64 x) y) (.f64 (*.f64 y y) y)))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 x (/.f64 y (.f64 (.f64 y y) y))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 y y) y))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 x y)) (.f64 (.f64 (.f64 y y) y) (.f64 (*.f64 y y) y))))
(+.f64 (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(+.f64 (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 x y) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(+.f64 (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (.f64 x (/.f64 y (.f64 (*.f64 y y) y))))
(+.f64 (/.f64 (.f64 x y) (neg.f64 (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y))))
(+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 z #s(literal 1 binary64)) (*.f64 y y)))
(+.f64 (.f64 x (/.f64 y (.f64 (.f64 y y) y))) (/.f64 (.f64 z #s(literal 1 binary64)) (*.f64 y y)))
(+.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (/.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (*.f64 y y) y)))
(+.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (*.f64 y y) y)))
(+.f64 (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 y y)) (.f64 x (/.f64 y (.f64 (*.f64 y y) y))))
(*.f64 y (fma.f64 z #s(literal 1 binary64) x))
(.f64 y (+.f64 x (.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) y (.f64 (*.f64 y y) z))) (neg.f64 y))
(/.f64 (fma.f64 (.f64 x y) y (.f64 (*.f64 y y) z)) y)
(neg.f64 (neg.f64 (*.f64 y (fma.f64 z #s(literal 1 binary64) x))))
(fma.f64 (.f64 (/.f64 z y) (fabs.f64 y)) (fabs.f64 y) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (.f64 (/.f64 z y) (fabs.f64 y)) (fabs.f64 y) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (.f64 (/.f64 z y) (fabs.f64 y)) (fabs.f64 y) (.f64 x y))
(fma.f64 (.f64 (/.f64 z y) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (.f64 (/.f64 z y) (neg.f64 y)) (neg.f64 y) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (.f64 (/.f64 z y) (neg.f64 y)) (neg.f64 y) (.f64 x y))
(fma.f64 (.f64 z #s(literal 1 binary64)) y (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (.f64 z #s(literal 1 binary64)) y (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (.f64 z #s(literal 1 binary64)) y (.f64 x y))
(fma.f64 (.f64 (.f64 y y) z) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (.f64 (.f64 y y) z) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 (.f64 (.f64 y y) z) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (/.f64 z y)) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (/.f64 z y)) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (/.f64 z y)) (.f64 x y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (/.f64 z y)) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (/.f64 z y)) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (/.f64 z y)) (.f64 x y))
(fma.f64 (.f64 y y) (/.f64 z y) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (.f64 y y) (/.f64 z y) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (.f64 y y) (/.f64 z y) (.f64 x y))
(fma.f64 x y (.f64 (.f64 z #s(literal 1 binary64)) y))
(fma.f64 (/.f64 z y) (.f64 y y) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (/.f64 z y) (.f64 y y) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 (/.f64 z y) (.f64 y y) (.f64 x y))
(fma.f64 y (.f64 z #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 y (.f64 z #s(literal 1 binary64)) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 y (.f64 z #s(literal 1 binary64)) (.f64 x y))
(fma.f64 y x (.f64 (.f64 z #s(literal 1 binary64)) y))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (*.f64 x y))
(fma.f64 z (/.f64 (.f64 y y) y) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z (/.f64 (.f64 y y) y) (neg.f64 (.f64 (neg.f64 x) y)))
(fma.f64 z (/.f64 (.f64 y y) y) (.f64 x y))
(-.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (*.f64 (neg.f64 x) y))
(-.f64 (.f64 x y) (.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) y))
(-.f64 (.f64 x y) (.f64 (*.f64 (neg.f64 y) y) (/.f64 z y)))
(-.f64 (.f64 x y) (.f64 (neg.f64 (/.f64 z y)) (*.f64 y y)))
(-.f64 (.f64 x y) (neg.f64 (.f64 (*.f64 z #s(literal 1 binary64)) y)))
(+.f64 (/.f64 (.f64 (.f64 x y) y) y) (.f64 (.f64 z #s(literal 1 binary64)) y))
(+.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (neg.f64 (*.f64 (neg.f64 x) y)))
(+.f64 (.f64 (.f64 z #s(literal 1 binary64)) y) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 (*.f64 z #s(literal 1 binary64)) y))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 y (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (neg.f64 y) y) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) y))
(.f64 (.f64 y y) y)
(.f64 y (.f64 y y))
(pow.f64 y #s(literal 3 binary64))

eval207.0ms (5.7%)

Memory: 3.5MiB live, 286.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 49 921 to 5 862 computations (88.3% saved)

prune31.0ms (0.8%)

Memory

-15.5MiB live, 75.4MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 319	4	1 323
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1 321	11	1 332

Accuracy

100.0%

Counts

1 332 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.7%	(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z y)))
✓	65.9%	(fma.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (.f64 #s(approx (+ y (/ (* x x) y)) y) #s(literal 1/2 binary64)))
	44.2%	(/.f64 (/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))) #s(literal 2 binary64)) y)
✓	64.7%	(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 y y))
✓	44.2%	(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 #s(approx (+ x z) z) (-.f64 x z))) (+.f64 y y))
	25.1%	(/.f64 #s(approx (+ (* (* (+ (* y y) (* x x)) 1/2) y) (* (* (* -1/2 z) z) y)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 y y))
	44.3%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (-.f64 x z) #s(approx (+ x z) z))))
✓	64.6%	(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 z x) (-.f64 x z))))
✓	84.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 y y))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
	60.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 #s(approx (+ (* (/ z y) (* y y)) (* y x)) (.f64 y z)) (.f64 y (*.f64 y y)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	27.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 282 to 179 computations (36.5% saved)

regimes173.0ms (4.8%)

Memory

-13.6MiB live, 334.3MiB allocated; 119ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

4 → 2

5 → 2

6 → 2

8 → 2

13 → 2

14 → 3

24 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

Outputs

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

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

Call 4

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

Outputs

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

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

Call 5

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

Outputs

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

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

Call 6

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

Outputs

(/.f64 #s(approx (+ (* (+ x z) (- x z)) (* y y)) (*.f64 (+.f64 x z) (-.f64 x z))) (+.f64 y y))

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

Call 7

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

Outputs

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

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

Call 8

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

Outputs

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

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

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

Call 9

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

Outputs
(.f64 (+.f64 y (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y)) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64) (.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z y)))

Calls

39 calls:

41.0ms	z
11.0ms	y
8.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
27.6%	1	`(*.f64 x x)`
27.6%	1	`x`
27.6%	1	`y`
27.6%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
27.6%	1	`(*.f64 z z)`
27.6%	1	`z`
61.4%	2	`(*.f64 z z)`
61.4%	2	`z`
62.8%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
61.4%	2	`(*.f64 z z)`
59.4%	2	`y`
61.4%	2	`z`
46.2%	2	`x`
44.3%	1	`(*.f64 x x)`
71.6%	2	`x`
71.6%	2	`(*.f64 x x)`
65.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
71.6%	2	`(*.f64 x x)`
71.6%	2	`x`
70.1%	2	`y`
73.1%	4	`(*.f64 z z)`
72.8%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
77.3%	6	`z`
83.1%	2	`(*.f64 x x)`
83.1%	2	`x`
84.8%	2	`y`
91.6%	2	`y`
92.5%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
90.1%	2	`(*.f64 z z)`
93.0%	3	`(*.f64 x x)`
93.0%	3	`x`
92.8%	3	`z`
95.6%	3	`y`
95.3%	2	`(*.f64 z z)`
96.6%	2	`(*.f64 x x)`
93.3%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
96.6%	2	`x`
98.5%	2	`y`
98.4%	3	`z`

Compiler

Compiled 689 to 325 computations (52.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.4824400551230418e+61	1.4979711257854996e+61

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch12.0ms (0.3%)

Memory

29.3MiB live, 29.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.099054969515091e+150	8.116296957734648e+150
4.0ms	2.349681476460852e-31	2.983712858036944e-31

Samples

6.0ms

128×

valid

Compiler

Compiled 403 to 288 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (65.1% of total)

ival-div!: 1.0ms (32.5% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Memory

-29.8MiB live, 16.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.484223777880845e+127	6.110379342985847e+127

Samples

4.0ms

80×

valid

Compiler

Compiled 173 to 142 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (51.9% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory

28.5MiB live, 28.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.855525130023644e+76	6.444323436528311e+76

Samples

4.0ms

80×

valid

Compiler

Compiled 223 to 162 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (52% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3011659685742024e+288	1.4051668244416017e+288

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3011659685742024e+288	1.4051668244416017e+288

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch32.0ms (0.9%)

Memory

-1.3MiB live, 50.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.05457461711629736	6216.748852158693

Samples

7.0ms

144×

valid

Compiler

Compiled 414 to 296 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult!: 2.0ms (56.9% of total)

ival-div!: 1.0ms (28.4% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory

-41.9MiB live, 5.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.05457461711629736	6216.748852158693

Compiler

Compiled 414 to 287 computations (30.7% saved)

derivations303.0ms (8.4%)

Memory

8.3MiB live, 339.2MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 396 to 86 computations (78.3% saved)

preprocess271.0ms (7.5%)

Memory

37.4MiB live, 643.5MiB allocated; 115ms collecting garbage

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 3 929 to 2 165 computations (44.9% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze53.0ms (1.5%)

sample822.0ms (22.8%)

preprocess29.0ms (0.8%)

series24.0ms (0.7%)

rewrite197.0ms (5.5%)

eval126.0ms (3.5%)

prune40.0ms (1.1%)

series71.0ms (2%)

rewrite147.0ms (4.1%)

eval189.0ms (5.3%)

prune26.0ms (0.7%)

series76.0ms (2.1%)

rewrite207.0ms (5.8%)

eval221.0ms (6.1%)

prune29.0ms (0.8%)

series113.0ms (3.2%)

rewrite176.0ms (4.9%)

eval207.0ms (5.7%)

prune31.0ms (0.8%)

regimes173.0ms (4.8%)

bsearch0.0ms (0%)

bsearch12.0ms (0.3%)

bsearch10.0ms (0.3%)

bsearch8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch32.0ms (0.9%)

bsearch7.0ms (0.2%)

derivations303.0ms (8.4%)

preprocess271.0ms (7.5%)

end0.0ms (0%)

Profiling