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

analyze43.0ms (1.6%)

Memory

15.7MiB live, 60.6MiB allocated; 7ms 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)

sample905.0ms (34.4%)

Memory

-6.4MiB live, 1 574.1MiB allocated; 373ms collecting garbage

Samples

500.0ms	8 256×	0	valid
123.0ms	1 998×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult!: 173.0ms (52.8% of total)

ival-sqrt: 118.0ms (36% of total)

ival-add!: 35.0ms (10.7% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess32.0ms (1.2%)

Memory

-30.7MiB live, 68.8MiB allocated; 15ms 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
▶	99.9%	(.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)

series17.0ms (0.7%)

Memory

3.5MiB live, 49.5MiB allocated; 4ms 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	x	inf

rewrite95.0ms (3.6%)

Memory

37.8MiB live, 179.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	36	26
2	92	26
3	247	26
4	739	26
0	4046	24

Stop Event

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

Counts

10 → 106

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

eval13.0ms (0.5%)

Memory: -13.6MiB live, 33.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 713 to 309 computations (82% saved)

prune14.0ms (0.5%)

Memory

-24.9MiB live, 22.0MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Accuracy

100.0%

Counts

128 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.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 #s(approx (sqrt z) (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
	77.4%	#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)))))
▶	91.4%	#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)))))
▶	48.5%	#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))))))
▶	48.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
▶	52.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 250 to 210 computations (16% saved)

series32.0ms (1.2%)

Memory

46.9MiB live, 93.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	723

Stop Event

1×	iter-limit

Counts

24 → 44

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

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

Calls

9 calls:

Time	Variable	Point
6.0ms	z	-inf
4.0ms	z	0
3.0ms	x	inf
3.0ms	y	-inf
3.0ms	y	0

rewrite179.0ms (6.8%)

Memory

-13.6MiB live, 315.9MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	46	157
1	103	155
2	267	155
3	1071	151
0	4240	151

Stop Event

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

Counts

24 → 1 318

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

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

eval171.0ms (6.5%)

Memory: 19.6MiB live, 298.9MiB allocated; 64ms collecting garbage
Compiler: Compiled 31 118 to 5 435 computations (82.5% saved)

prune32.0ms (1.2%)

Memory

-16.7MiB live, 75.7MiB allocated; 9ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 288	6	1 294
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	1 291	10	1 301

Accuracy

100.0%

Counts

1 301 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(.f64 (fma.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) x x) #s(literal 1/2 binary64))
	83.2%	(.f64 (fma.f64 (.f64 x (sqrt.f64 z)) (/.f64 y x) x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	43.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (.f64 (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x) x))
▶	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (sqrt.f64 z) x) (.f64 y (*.f64 #s(literal 1/2 binary64) x))))
▶	42.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
▶	39.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (sqrt.f64 z) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))
✓	48.5%	#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))))))
✓	48.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	52.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 271 to 227 computations (16.2% saved)

series68.0ms (2.6%)

Memory

-7.2MiB live, 95.7MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	729

Stop Event

1×	iter-limit

Counts

29 → 45

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
31.0ms	z	-inf
12.0ms	y	inf
4.0ms	y	-inf
3.0ms	y	0
3.0ms	x	-inf

rewrite209.0ms (8%)

Memory

42.6MiB live, 410.8MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	207
0	56	215
1	132	179
2	396	173
3	2227	173
0	4758	167

Stop Event

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

Counts

29 → 2 876

Calls

Call 1

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

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

eval423.0ms (16.1%)

Memory: -10.1MiB live, 662.2MiB allocated; 199ms collecting garbage
Compiler: Compiled 54 978 to 7 520 computations (86.3% saved)

prune54.0ms (2.1%)

Memory

3.3MiB live, 146.2MiB allocated; 16ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	2 111	1	2 112
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	2 112	10	2 122

Accuracy

100.0%

Counts

2 122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(.f64 (fma.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) x x) #s(literal 1/2 binary64))
▶	83.2%	(.f64 (fma.f64 (/.f64 y x) (.f64 x (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	43.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (.f64 (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x) x))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (sqrt.f64 z) x) (.f64 y (*.f64 #s(literal 1/2 binary64) x))))
✓	42.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
✓	39.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (sqrt.f64 z) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))
✓	48.5%	#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))))))
✓	48.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	52.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 165 to 140 computations (15.2% saved)

series15.0ms (0.6%)

Memory

-2.3MiB live, 41.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	549

Stop Event

1×	iter-limit

Counts

9 → 32

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
4.0ms	y	inf
1.0ms	x	-inf
1.0ms	y	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite130.0ms (4.9%)

Memory

12.8MiB live, 232.4MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	32	33
2	111	27
3	538	27
4	2676	27
0	4577	25

Stop Event

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

Counts

9 → 274

Calls

Call 1

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

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

eval70.0ms (2.7%)

Memory: -31.2MiB live, 79.9MiB allocated; 68ms collecting garbage
Compiler: Compiled 4 793 to 987 computations (79.4% saved)

prune7.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	297	10	307

Accuracy

100.0%

Counts

307 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.4%	(.f64 (fma.f64 (/.f64 (.f64 y (sqrt.f64 z)) x) x x) #s(literal 1/2 binary64))
✓	83.2%	(.f64 (fma.f64 (/.f64 y x) (.f64 x (sqrt.f64 z)) x) #s(literal 1/2 binary64))
✓	99.9%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	43.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (.f64 (.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) x) x))
✓	39.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (/.f64 (sqrt.f64 z) x) (.f64 y (*.f64 #s(literal 1/2 binary64) x))))
✓	42.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z))
✓	39.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (sqrt.f64 z) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))
✓	48.5%	#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))))))
✓	48.5%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))))
✓	52.2%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 165 to 140 computations (15.2% saved)

regimes52.0ms (2%)

Memory

26.4MiB live, 118.4MiB allocated; 7ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 3

15 → 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))))

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

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

Calls

21 calls:

7.0ms	x
4.0ms	z
4.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
4.0ms	(sqrt.f64 z)
4.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
52.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
52.2%	1	`(sqrt.f64 z)`
52.2%	1	`z`
52.2%	1	`y`
52.2%	1	`x`
52.2%	1	`(*.f64 y (sqrt.f64 z))`
63.4%	2	`(sqrt.f64 z)`
77.7%	3	`(*.f64 y (sqrt.f64 z))`
61.4%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
61.4%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
76.4%	3	`x`
75.9%	3	`y`
63.4%	2	`z`
99.9%	1	`(sqrt.f64 z)`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 327 to 170 computations (48% saved)

bsearch23.0ms (0.9%)

Memory

-20.1MiB live, 31.7MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.09337324041683873	0.29690321623673027
16.0ms	-2.2934931546284425e+74	-6.023945982925467e+65

Samples

7.0ms

224×

valid

Compiler

Compiled 405 to 408 computations (-0.7% saved)

Precisions

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

ival-add!: 1.0ms (56.7% of total)

ival-mult!: 1.0ms (56.7% of total)

adjust: 0.0ms (0% of total)

derivations28.0ms (1.1%)

Memory

-22.9MiB live, 24.8MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 83 to 25 computations (69.9% saved)

preprocess22.0ms (0.8%)

Memory: 9.8MiB live, 56.6MiB allocated; 3ms 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%)

analyze43.0ms (1.6%)

sample905.0ms (34.4%)

preprocess32.0ms (1.2%)

series17.0ms (0.7%)

rewrite95.0ms (3.6%)

eval13.0ms (0.5%)

prune14.0ms (0.5%)

series32.0ms (1.2%)

rewrite179.0ms (6.8%)

eval171.0ms (6.5%)

prune32.0ms (1.2%)

series68.0ms (2.6%)

rewrite209.0ms (8%)

eval423.0ms (16.1%)

prune54.0ms (2.1%)

series15.0ms (0.6%)

rewrite130.0ms (4.9%)

eval70.0ms (2.7%)

prune7.0ms (0.3%)

regimes52.0ms (2%)

bsearch23.0ms (0.9%)

derivations28.0ms (1.1%)

preprocess22.0ms (0.8%)

end0.0ms (0%)

Profiling