Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

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

analyze43.0ms (1.7%)

Memory

2.1MiB live, 45.9MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.0s (42.2%)

Memory

31.1MiB live, 728.2MiB allocated; 173ms collecting garbage

Samples

482.0ms	8 256×	0	valid
185.0ms	2 064×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-mult!: 160.0ms (44.8% of total)

ival-add!: 117.0ms (32.8% of total)

ival-sqrt: 79.0ms (22.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess52.0ms (2.1%)

Memory

-17.3MiB live, 67.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	84
1	145	82
2	562	82
3	3666	82

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 20 to 20 computations (0% saved)

series9.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

10 → 28

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	x	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms	x	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

rewrite66.0ms (2.6%)

Memory

20.8MiB live, 74.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	476
0	115	433
0	331	415
0	1730	383

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

38 → 98

Calls

Call 1

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

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

eval12.0ms (0.5%)

Memory: -28.7MiB live, 16.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 669 to 285 computations (57.4% saved)

prune6.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	8	86

Accuracy

100.0%

Counts

86 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
	88.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	91.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
▶	81.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
	50.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
▶	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 214 to 212 computations (0.9% saved)

series256.0ms (10.3%)

Memory

12.2MiB live, 96.5MiB allocated; 14ms collecting garbage

Counts

27 → 116

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(/.f64 x z)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x (.f64 y (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))
(.f64 y (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 x))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* y (* (pow z 1/4) (pow z 1/4))) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z)))
#s(approx (pow z 1/4) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (* (pow z 1/4) (pow z 1/4))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (pow z 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))

Calls

9 calls:

Time	Variable		Point	Expression
190.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z) (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) (/ 1 2) 2 (+ x (* y (* (pow z 1/4) (pow z 1/4)))) (* y (* (pow z 1/4) (pow z 1/4))) (* (pow z 1/4) (pow z 1/4)) (pow z 1/4) 1/4)
44.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z) (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) (/ 1 2) 2 (+ x (* y (* (pow z 1/4) (pow z 1/4)))) (* y (* (pow z 1/4) (pow z 1/4))) (* (pow z 1/4) (pow z 1/4)) (pow z 1/4) 1/4)
8.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z) (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) (/ 1 2) 2 (+ x (* y (* (pow z 1/4) (pow z 1/4)))) (* y (* (pow z 1/4) (pow z 1/4))) (* (pow z 1/4) (pow z 1/4)) (pow z 1/4) 1/4)
3.0ms	x	@	inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z) (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) (/ 1 2) 2 (+ x (* y (* (pow z 1/4) (pow z 1/4)))) (* y (* (pow z 1/4) (pow z 1/4))) (* (pow z 1/4) (pow z 1/4)) (pow z 1/4) 1/4)
2.0ms	x	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z) (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) (/ 1 2) 2 (+ x (* y (* (pow z 1/4) (pow z 1/4)))) (* y (* (pow z 1/4) (pow z 1/4))) (* (pow z 1/4) (pow z 1/4)) (pow z 1/4) 1/4)

rewrite103.0ms (4.2%)

Memory

-16.7MiB live, 127.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	2457
0	294	2061
0	682	1924
0	3454	1913

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

143 → 484

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(/.f64 x z)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x (.f64 y (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))
(.f64 y (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 x))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* y (sqrt z))))
#s(approx y #s(hole binary64 y))
#s(approx (* y (* (pow z 1/4) (pow z 1/4))) #s(hole binary64 (* y (sqrt z))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (sqrt z)))
#s(approx (pow z 1/4) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (* (pow z 1/4) (pow z 1/4))))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (* (pow z 1/4) (pow z 1/4)))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (* (pow z 1/4) (pow z 1/4))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (pow z 1/4) (pow z 1/4)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (pow z 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))

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

eval32.0ms (1.3%)

Memory: 24.0MiB live, 69.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 700 to 1 177 computations (56.4% saved)

prune24.0ms (1%)

Memory

-46.1MiB live, 24.7MiB allocated; 29ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	298	6	304
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	303	9	312

Accuracy

100.0%

Counts

312 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	99.5%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	50.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	78.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (.f64 z (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64))))
▶	81.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64)) z))
▶	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 232 to 224 computations (3.4% saved)

series157.0ms (6.3%)

Memory

10.6MiB live, 146.8MiB allocated; 15ms collecting garbage

Counts

29 → 131

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 x))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt (sqrt z))) #s(hole binary64 (* (pow (* 1 z) 1/4) y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (/ y (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt (sqrt z))) #s(hole binary64 (* (pow (* -1 z) 1/4) (* y (sqrt (sqrt -1))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	((* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) (* y (sqrt (sqrt z))) y (sqrt (sqrt z)) (sqrt z) z x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
37.0ms	z	@	-inf	((* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) (* y (sqrt (sqrt z))) y (sqrt (sqrt z)) (sqrt z) z x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
36.0ms	y	@	inf	((* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) (* y (sqrt (sqrt z))) y (sqrt (sqrt z)) (sqrt z) z x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
16.0ms	z	@	0	((* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) (* y (sqrt (sqrt z))) y (sqrt (sqrt z)) (sqrt z) z x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)
11.0ms	y	@	-inf	((* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) (* y (sqrt (sqrt z))) y (sqrt (sqrt z)) (sqrt z) z x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ (+ (* (sqrt z) y) x) z) (+ (* (sqrt z) y) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1)

rewrite93.0ms (3.7%)

Memory

35.0MiB live, 35.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2920
0	339	2667
0	788	2342
0	3664	2337

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

160 → 356

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) x))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
y
(sqrt.f64 (sqrt.f64 z))
(sqrt.f64 z)
z
x
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z)
(.f64 #s(approx (+ ( (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64)) z))
(.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64)) z)
(.f64 #s(approx (+ ( (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z))
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(fma.f64 (sqrt.f64 z) y x)
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 x))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ x z))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ x z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* y (sqrt (sqrt z))) #s(hole binary64 (* (pow (* 1 z) 1/4) y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z))))
#s(approx (/ y (sqrt z)) #s(hole binary64 (* y (sqrt (/ 1 z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z)))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z))))))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z))))
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (/ (+ x (* y (sqrt z))) z)))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (* y (sqrt (sqrt z))) (sqrt (sqrt z))) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* y (sqrt (sqrt z))) #s(hole binary64 (* (pow (* -1 z) 1/4) (* y (sqrt (sqrt -1))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (* (* (+ (* (/ 1 (sqrt z)) y) (/ x z)) 1/2) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
#s(approx (/ (+ (* (sqrt z) y) x) z) #s(hole binary64 (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (/ x z))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))

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

eval87.0ms (3.5%)

Memory: -0.8MiB live, 49.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 3 127 to 1 394 computations (55.4% saved)

prune24.0ms (1%)

Memory

-23.2MiB live, 19.7MiB allocated; 8ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	318	2	320
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	320	9	329

Accuracy

100.0%

Counts

329 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	88.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)))
✓	88.4%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	50.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)))))
✓	50.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	78.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (.f64 z (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64))))
✓	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 125 to 122 computations (2.4% saved)

series90.0ms (3.6%)

Memory

6.6MiB live, 145.4MiB allocated; 32ms collecting garbage

Counts

24 → 79

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (/ x z) z) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x z) z) #s(hole binary64 x))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* z (* y 1/2)) #s(hole binary64 (* 1/2 (* y z))))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (sqrt (sqrt z)) y) #s(hole binary64 (* (pow (* 1 z) 1/4) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt (sqrt z)) y) #s(hole binary64 (* (pow (* -1 z) 1/4) (* y (sqrt (sqrt -1))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) (* z (* y 1/2)) z (* y 1/2) y 1/2 (/ 1 (sqrt z)) 1 (sqrt z) (* (* (/ x z) z) 1/2) (* (/ x z) z) (/ x z) x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (* (sqrt (sqrt z)) y) (sqrt (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x))
20.0ms	z	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) (* z (* y 1/2)) z (* y 1/2) y 1/2 (/ 1 (sqrt z)) 1 (sqrt z) (* (* (/ x z) z) 1/2) (* (/ x z) z) (/ x z) x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (* (sqrt (sqrt z)) y) (sqrt (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x))
15.0ms	y	@	0	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) (* z (* y 1/2)) z (* y 1/2) y 1/2 (/ 1 (sqrt z)) 1 (sqrt z) (* (* (/ x z) z) 1/2) (* (/ x z) z) (/ x z) x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (* (sqrt (sqrt z)) y) (sqrt (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x))
10.0ms	y	@	-inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) (* z (* y 1/2)) z (* y 1/2) y 1/2 (/ 1 (sqrt z)) 1 (sqrt z) (* (* (/ x z) z) 1/2) (* (/ x z) z) (/ x z) x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (* (sqrt (sqrt z)) y) (sqrt (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x))
9.0ms	y	@	inf	((* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) (* z (* y 1/2)) z (* y 1/2) y 1/2 (/ 1 (sqrt z)) 1 (sqrt z) (* (* (/ x z) z) 1/2) (* (/ x z) z) (/ x z) x (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) (* (sqrt (sqrt z)) y) (sqrt (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x))

rewrite79.0ms (3.2%)

Memory

38.9MiB live, 120.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1640
0	249	1526
0	594	1339
0	2681	1273

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

103 → 280

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (.f64 z (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64))))
(fma.f64 (.f64 z (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64)))
(.f64 z (.f64 y #s(literal 1/2 binary64)))
z
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
(.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64))
(*.f64 (/.f64 x z) z)
(/.f64 x z)
x
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)))))
#s(approx (+ x (* y (sqrt z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) y)
(sqrt.f64 (sqrt.f64 z))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (* (* (/ x z) z) 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x z) z) #s(hole binary64 x))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (+ x (* y (sqrt z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* (/ y x) (sqrt z))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x)))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* (/ 1 x) (sqrt z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 x))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (+ 1 (* (/ y x) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))))
#s(approx (* z (* y 1/2)) #s(hole binary64 (* 1/2 (* y z))))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) #s(hole binary64 (* y (sqrt z))))
#s(approx (* (sqrt (sqrt z)) y) #s(hole binary64 (* (pow (* 1 z) 1/4) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (pow (* 1 z) 1/4)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ (* (* z (* y 1/2)) (/ 1 (sqrt z))) (* (* (/ x z) z) 1/2)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (* (* (sqrt (sqrt z)) y) (sqrt (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (sqrt (sqrt z)) y) #s(hole binary64 (* (pow (* -1 z) 1/4) (* y (sqrt (sqrt -1))))))
#s(approx (sqrt (sqrt z)) #s(hole binary64 (* (pow (* -1 z) 1/4) (sqrt (sqrt -1)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))))
#s(approx (* (+ (* (/ (sqrt z) x) y) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))))
#s(approx (+ (* (/ (sqrt z) x) y) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))))
#s(approx (/ (sqrt z) x) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))))

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

eval31.0ms (1.3%)

Memory: -35.6MiB live, 70.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 2 312 to 1 049 computations (54.6% saved)

prune9.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	257	8	265

Accuracy

100.0%

Counts

265 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	88.0%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)))
✓	50.3%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)))))
✓	50.5%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	93.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 z))))
✓	46.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
✓	51.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 254 to 191 computations (24.8% saved)

regimes42.0ms (1.7%)

Memory

-18.0MiB live, 72.0MiB allocated; 10ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) z))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 z)) y) (sqrt.f64 (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 #s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) #s(literal 1/2 binary64)) z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) z) (sqrt.f64 z))))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) #s(literal 1/2 binary64)) z))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (.f64 z (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (.f64 (/.f64 x z) z) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))

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

Calls

7 calls:

8.0ms	y
8.0ms	(*.f64 y (sqrt.f64 z))
5.0ms	x
5.0ms	(sqrt.f64 z)
5.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`(sqrt.f64 z)`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes16.0ms (0.6%)

Memory

-12.7MiB live, 33.6MiB allocated; 3ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	z
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`(sqrt.f64 z)`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes11.0ms (0.4%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	z
1.0ms	x
1.0ms	(sqrt.f64 z)
1.0ms	(*.f64 y (sqrt.f64 z))

Results

Accuracy	Segments	Branch
67.5%	2	`(sqrt.f64 z)`
78.3%	3	`(*.f64 y (sqrt.f64 z))`
61.1%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.1%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
79.7%	3	`x`
76.2%	3	`y`
67.5%	2	`z`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes7.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	y
1.0ms	(sqrt.f64 z)
1.0ms	x

Results

Accuracy	Segments	Branch
51.1%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
51.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
51.1%	1	`(sqrt.f64 z)`
51.1%	1	`z`
51.1%	1	`y`
51.1%	1	`(*.f64 y (sqrt.f64 z))`
51.1%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch109.0ms (4.4%)

Memory

-44.5MiB live, 36.8MiB allocated; 135ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.859975293798064e-20	4.7846694677595575e-17
97.0ms	-3.4178518299259933e-6	-9.095491529202644e-11

Samples

87.0ms

256×

valid

Compiler

Compiled 461 to 496 computations (-7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult!: 79.0ms (96.3% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-add!: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

derivations48.0ms (1.9%)

Memory

-29.5MiB live, 19.1MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 28 computations (20% saved)

preprocess33.0ms (1.3%)

Memory: 5.2MiB live, 51.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze43.0ms (1.7%)

sample1.0s (42.2%)

preprocess52.0ms (2.1%)

series9.0ms (0.3%)

rewrite66.0ms (2.6%)

eval12.0ms (0.5%)

prune6.0ms (0.2%)

series256.0ms (10.3%)

rewrite103.0ms (4.2%)

eval32.0ms (1.3%)

prune24.0ms (1%)

series157.0ms (6.3%)

rewrite93.0ms (3.7%)

eval87.0ms (3.5%)

prune24.0ms (1%)

series90.0ms (3.6%)

rewrite79.0ms (3.2%)

eval31.0ms (1.3%)

prune9.0ms (0.4%)

regimes42.0ms (1.7%)

regimes16.0ms (0.6%)

regimes11.0ms (0.4%)

regimes7.0ms (0.3%)

bsearch109.0ms (4.4%)

derivations48.0ms (1.9%)

preprocess33.0ms (1.3%)

end0.0ms (0%)

Profiling