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

start0.0ms (0%)

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

analyze56.0ms (1.9%)

Memory

26.9MiB live, 76.7MiB allocated; 23ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample977.0ms (32.5%)

Memory

15.0MiB live, 1 593.8MiB allocated; 309ms collecting garbage

Samples

549.0ms	8 256×	0	valid
133.0ms	2 146×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-mult!: 119.0ms (50.6% of total)

ival-sqrt: 84.0ms (35.7% of total)

ival-add!: 30.0ms (12.8% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess29.0ms (1%)

Memory

6.9MiB live, 49.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	84
1	162	82
2	699	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)

series79.0ms (2.6%)

Memory

-42.9MiB live, 45.9MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	439

Stop Event

1×	iter-limit

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

Calls

9 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	z	-inf
1.0ms	x	-inf
1.0ms	y	inf
1.0ms	z	inf

rewrite120.0ms (4%)

Memory

19.1MiB live, 210.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	52	26
2	202	26
3	515	26
4	1359	26
0	4232	24

Stop Event

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

Counts

10 → 97

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
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) x) (.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 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (.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 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.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 (.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 (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)) (fma.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 (.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 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(/.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 #s(literal -1/2 binary64) (.f64 (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 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))))
(/.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 (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))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y 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 (.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 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (.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 (neg.f64 (sqrt.f64 z)) (.f64 #s(literal -1/2 binary64) y) (.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 (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 (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 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (sqrt.f64 z) y))) (*.f64 (sqrt.f64 z) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 z) y) x)) x)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 z) y)) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 z) y) (fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))))
(/.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 (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 (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))))))
(/.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 (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)))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) x)
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 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 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))
y
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 z) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 z #s(literal 0 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #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 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(pow.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) (pow.f64 z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
z

eval14.0ms (0.5%)

Memory: -4.4MiB live, 40.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 027 to 448 computations (77.9% saved)

prune7.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Accuracy

100.0%

Counts

119 → 10

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))
	36.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.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)))))
	71.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (*.f64 z z) #s(literal 1/4 binary64)))))
	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (/.f64 (pow.f64 z #s(literal 1 binary64)) (sqrt.f64 z)))))
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
▶	87.0%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z)))))
▶	51.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
▶	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 348 to 278 computations (20.1% saved)

series188.0ms (6.3%)

Memory

-0.3MiB live, 413.3MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1274

Stop Event

1×	iter-limit

Counts

30 → 68

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
44.0ms	z	0
29.0ms	y	0
27.0ms	y	inf
27.0ms	z	-inf
12.0ms	x	0

rewrite156.0ms (5.2%)

Memory

-23.0MiB live, 274.7MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	188
0	58	168
1	220	168
2	694	168
3	2368	164
0	4518	152

Stop Event

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

Counts

30 → 1 589

Calls

Call 1

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

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
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(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
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(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 z))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 0 binary64)))
(+.f64 (sqrt.f64 z) (*.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) #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 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 z (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))) (pow.f64 z (/.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))))
(hypot.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 0 binary64) (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)

eval200.0ms (6.7%)

Memory: 10.4MiB live, 478.6MiB allocated; 40ms collecting garbage
Compiler: Compiled 41 997 to 6 287 computations (85% saved)

prune43.0ms (1.4%)

Memory

-12.1MiB live, 93.3MiB allocated; 27ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 565	8	1 573
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	1 573	10	1 583

Accuracy

100.0%

Counts

1 583 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y x) #s(literal 1/2 binary64))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
▶	51.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	51.8%	#s(approx (* (/ 1 2) (+ x (* y (/ 1 (pow z -1/2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
▶	46.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (.f64 (*.f64 #s(literal 1/2 binary64) z) y)))
	51.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) z) (*.f64 #s(literal 1/2 binary64) y)))
▶	47.1%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) z)))
	39.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 297 to 258 computations (13.1% saved)

series92.0ms (3%)

Memory

1.1MiB live, 191.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	919

Stop Event

1×	iter-limit

Counts

25 → 52

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
15.0ms	y	-inf
12.0ms	y	inf
12.0ms	z	inf
12.0ms	y	0
10.0ms	z	-inf

rewrite209.0ms (6.9%)

Memory

50.9MiB live, 458.3MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	172
0	55	158
1	218	142
2	642	130
3	2186	130
0	4247	130

Stop Event

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

Counts

25 → 2 536

Calls

Call 1

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

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

eval287.0ms (9.5%)

Memory: 7.0MiB live, 560.4MiB allocated; 183ms collecting garbage
Compiler: Compiled 40 157 to 5 175 computations (87.1% saved)

prune31.0ms (1%)

Memory

-6.3MiB live, 87.5MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 797	4	1 801
Fresh	2	1	3
Picked	4	1	5
Done	0	2	2
Total	1 803	8	1 811

Accuracy

100.0%

Counts

1 811 → 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))
▶	46.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	47.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	51.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
▶	46.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 y z)))
▶	39.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
▶	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))

Compiler

Compiled 228 to 187 computations (18% saved)

series27.0ms (0.9%)

Memory

6.1MiB live, 56.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	642

Stop Event

1×	iter-limit

Counts

27 → 46

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
4.0ms	z	-inf
3.0ms	y	-inf
3.0ms	z	inf
3.0ms	y	inf
2.0ms	z	0

rewrite168.0ms (5.6%)

Memory

4.9MiB live, 216.1MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	208
0	57	204
1	191	204
2	576	184
3	1809	171
0	4092	160

Stop Event

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

Counts

27 → 1 159

Calls

Call 1

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

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

eval185.0ms (6.1%)

Memory: 23.1MiB live, 338.1MiB allocated; 82ms collecting garbage
Compiler: Compiled 36 881 to 5 729 computations (84.5% saved)

prune33.0ms (1.1%)

Memory

0.8MiB live, 50.6MiB allocated; 21ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 274	0	1 274
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	1 274	8	1 282

Accuracy

100.0%

Counts

1 282 → 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))
✓	46.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	47.2%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64))
✓	51.8%	(.f64 #s(approx (+ ( (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64))
✓	46.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (.f64 y z)))
✓	39.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 z x) (/.f64 #s(literal 1/2 binary64) z)))
✓	49.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	51.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(approx (* (* (/ 1 (sqrt z)) y) (* 1/2 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))

Compiler

Compiled 131 to 109 computations (16.8% saved)

regimes68.0ms (2.3%)

Memory

-27.9MiB live, 112.7MiB allocated; 9ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 3

23 → 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))

Call 2

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

Outputs

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

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

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

Call 3

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

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

Calls

21 calls:

7.0ms	z
7.0ms	(*.f64 y (sqrt.f64 z))
6.0ms	y
6.0ms	x
6.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
49.4%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
49.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
49.4%	1	`(sqrt.f64 z)`
49.4%	1	`z`
49.4%	1	`x`
49.4%	1	`y`
49.4%	1	`(*.f64 y (sqrt.f64 z))`
65.9%	2	`(sqrt.f64 z)`
79.6%	3	`(*.f64 y (sqrt.f64 z))`
62.7%	5	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
62.7%	5	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.1%	3	`x`
76.9%	3	`y`
65.9%	2	`z`
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 476 to 226 computations (52.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9304107073658782e-120	6.398955273871694e-117
0.0ms	-1.1186420371782983e-52	-3.441473074345486e-56

Compiler

Compiled 13 to 16 computations (-23.1% saved)

derivations15.0ms (0.5%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess22.0ms (0.7%)

Memory: -9.3MiB live, 38.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 93 to 35 computations (62.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze56.0ms (1.9%)

sample977.0ms (32.5%)

preprocess29.0ms (1%)

series79.0ms (2.6%)

rewrite120.0ms (4%)

eval14.0ms (0.5%)

prune7.0ms (0.2%)

series188.0ms (6.3%)

rewrite156.0ms (5.2%)

eval200.0ms (6.7%)

prune43.0ms (1.4%)

series92.0ms (3%)

rewrite209.0ms (6.9%)

eval287.0ms (9.5%)

prune31.0ms (1%)

series27.0ms (0.9%)

rewrite168.0ms (5.6%)

eval185.0ms (6.1%)

prune33.0ms (1.1%)

regimes68.0ms (2.3%)

bsearch1.0ms (0%)

derivations15.0ms (0.5%)

preprocess22.0ms (0.7%)

end0.0ms (0%)

Profiling