Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, C

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample976.0ms (80.3%)

Memory

-15.5MiB live, 1 315.7MiB allocated; 435ms collecting garbage

Samples

354.0ms	5 664×	0	valid
273.0ms	2 537×	1	valid
6.0ms	55×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult!: 215.0ms (60.1% of total)

adjust: 63.0ms (17.6% of total)

ival-sub!: 49.0ms (13.7% of total)

ival-add!: 31.0ms (8.7% of total)

Bogosity

preprocess38.0ms (3.1%)

Memory

-8.6MiB live, 37.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	128
1	228	100
2	934	90
3	2805	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Symmetry

(negabs y)

Compiler

Compiled 30 to 18 computations (40% saved)

series17.0ms (1.4%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	570

Stop Event

1×	iter-limit

Counts

9 → 30

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 y y))
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 y z)
z

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

Calls

9 calls:

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

rewrite79.0ms (6.5%)

Memory

-8.0MiB live, 92.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	39
1	44	35
2	172	33
3	593	31
4	1521	29
5	3773	29
0	4025	29

Stop Event

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

Counts

9 → 289

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 y y))
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 y z)
z

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

eval31.0ms (2.6%)

Memory: -5.9MiB live, 85.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 940 to 873 computations (82.3% saved)

prune6.0ms (0.5%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	2	314

Accuracy

100.0%

Counts

314 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(-.f64 (.f64 y x) (.f64 z y))
▶	100.0%	(*.f64 (-.f64 x z) y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

series15.0ms (1.3%)

Memory

-22.4MiB live, 30.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	278

Stop Event

1×	iter-limit

Counts

8 → 23

Calls

Call 1

Inputs
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(-.f64 (.f64 y x) (.f64 z y))
(*.f64 y x)
(*.f64 z y)

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

Calls

9 calls:

Time	Variable	Point
4.0ms	x	inf
2.0ms	z	-inf
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	y	inf

rewrite9.0ms (0.7%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	22
1	26	22
2	55	22
3	115	22
4	172	22
0	172	22

Stop Event

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

Counts

8 → 52

Calls

Call 1

Inputs
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(-.f64 (.f64 y x) (.f64 z y))
(*.f64 y x)
(*.f64 z y)

Outputs
(*.f64 (neg.f64 y) (-.f64 z x))
(*.f64 (-.f64 z x) (neg.f64 y))
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(neg.f64 (*.f64 (-.f64 z x) y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 y) z (*.f64 y x))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 z) y (*.f64 y x))
(fma.f64 y (neg.f64 z) (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 z) y))
(fma.f64 z (neg.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 (neg.f64 z) y))
(-.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 y z))
(+.f64 (.f64 (neg.f64 z) y) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) y))
(neg.f64 (-.f64 z x))
(-.f64 (neg.f64 z) (neg.f64 x))
(-.f64 x z)
(+.f64 (neg.f64 z) x)
(+.f64 x (neg.f64 z))
x
z
y
(*.f64 (neg.f64 y) (-.f64 z x))
(*.f64 (-.f64 z x) (neg.f64 y))
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
(neg.f64 (*.f64 (-.f64 z x) y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 y) z (*.f64 y x))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 z) y))
(fma.f64 (neg.f64 z) y (*.f64 y x))
(fma.f64 y (neg.f64 z) (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 z) y))
(fma.f64 z (neg.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 (neg.f64 z) y))
(-.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 y z))
(+.f64 (.f64 (neg.f64 z) y) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 y z)
(*.f64 z y)
(neg.f64 (*.f64 (neg.f64 z) y))

eval9.0ms (0.7%)

Memory: -27.4MiB live, 16.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 549 to 146 computations (73.4% saved)

prune2.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	54	2	56

Accuracy

100.0%

Counts

56 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(-.f64 (.f64 y x) (.f64 z y))
✓	100.0%	(*.f64 (-.f64 x z) y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0.5%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Accuracy

Total -22.9b remaining (-293618.2%)

Threshold costs -22.9b (-293618.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (-.f64 x z) y)
(-.f64 (.f64 y x) (.f64 z y))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Outputs
(*.f64 (-.f64 x z) y)

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 45 to 32 computations (28.9% saved)

derivations17.0ms (1.4%)

Memory

-41.7MiB live, 3.9MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess9.0ms (0.8%)

Memory: 27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Remove: (negabs y)
Compiler: Compiled 30 to 24 computations (20% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample976.0ms (80.3%)

preprocess38.0ms (3.1%)

series17.0ms (1.4%)

rewrite79.0ms (6.5%)

eval31.0ms (2.6%)

prune6.0ms (0.5%)

series15.0ms (1.3%)

rewrite9.0ms (0.7%)

eval9.0ms (0.7%)

prune2.0ms (0.2%)

regimes6.0ms (0.5%)

derivations17.0ms (1.4%)

preprocess9.0ms (0.8%)

end0.0ms (0%)

Profiling