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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.4s (59.8%)

Memory

-35.7MiB live, 643.9MiB allocated; 345ms collecting garbage

Samples

517.0ms	2 575×	1	valid
467.0ms	5 618×	0	valid
9.0ms	63×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-mult!: 318.0ms (66.4% of total)

adjust: 85.0ms (17.7% of total)

ival-sub!: 50.0ms (10.4% of total)

ival-add!: 26.0ms (5.4% of total)

Bogosity

preprocess85.0ms (3.6%)

Memory

-16.6MiB live, 38.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	128
1	228	100
2	934	90
3	2805	70
4	4754	70

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(-.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)

series180.0ms (7.7%)

Memory

29.1MiB live, 76.5MiB allocated; 13ms collecting garbage

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
3.0ms	y	inf
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	0
2.0ms	y	0

rewrite217.0ms (9.3%)

Memory

-22.0MiB live, 67.4MiB allocated; 34ms collecting garbage

Counts

9 → 35

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

eval5.0ms (0.2%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 167 to 227 computations (80.5% saved)

prune2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Accuracy

100.0%

Counts

59 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
▶	100.0%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series201.0ms (8.6%)

Memory

-16.6MiB live, 47.1MiB allocated; 86ms collecting garbage

Counts

10 → 23

Calls

Call 1

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

Calls

9 calls:

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

rewrite224.0ms (9.6%)

Memory

22.0MiB live, 110.2MiB allocated; 30ms collecting garbage

Counts

10 → 22

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 972 to 160 computations (83.5% saved)

prune2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	38	2	40

Accuracy

100.0%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
✓	100.0%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

regimes6.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total -24.2b remaining (-309129.8%)

Threshold costs -24.2b (-309129.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

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 77 to 38 computations (50.6% saved)

derivations0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 12 computations (42.9% saved)

preprocess11.0ms (0.5%)

Memory: -34.4MiB live, 11.7MiB allocated; 3ms collecting garbage
Remove: (negabs y)
Compiler: Compiled 78 to 45 computations (42.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.4s (59.8%)

preprocess85.0ms (3.6%)

series180.0ms (7.7%)

rewrite217.0ms (9.3%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series201.0ms (8.6%)

rewrite224.0ms (9.6%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes6.0ms (0.3%)

derivations0.0ms (0%)

preprocess11.0ms (0.5%)

end0.0ms (0%)

Profiling