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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample1.2s (49.1%)

Memory

30.4MiB live, 1 138.1MiB allocated; 351ms collecting garbage

Samples

542.0ms	5 703×	0	valid
332.0ms	2 553×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 494.0ms

ival-mult!: 286.0ms (57.9% of total)

ival-sub!: 105.0ms (21.3% of total)

adjust: 79.0ms (16% of total)

ival-add!: 24.0ms (4.9% of total)

Bogosity

preprocess68.0ms (2.7%)

Memory

11.2MiB live, 54.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	139
1	387	97
2	3685	97

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.8%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 30 to 18 computations (40% saved)

series263.0ms (10.4%)

Memory

-24.3MiB live, 65.9MiB allocated; 19ms collecting garbage

Counts

9 → 21

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
(-.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 y)) (* y z)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (-.f64 (.f64 x y) (.f64 y z)))
#s(approx (+ (- (* x y) (* y y)) (* y y)) (*.f64 x y))
#s(approx (- (* x y) (* y y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (* x y) (* y y)) (-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx x x)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- (* x y) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.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)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y (-.f64 x z)))
#s(approx (- (* x y) (* y y)) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) y))))
#s(approx y y)
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (* y z) (*.f64 y z))
#s(approx (- (* x y) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.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 y)) (* y z)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)))
#s(approx z z)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) y)))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.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
9.0ms	y	inf
3.0ms	y	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	0

rewrite306.0ms (12.2%)

Memory

-1.3MiB live, 192.1MiB allocated; 31ms collecting garbage

Counts

9 → 34

Calls

Call 1

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

Outputs
(*.f64 y (+.f64 (-.f64 y z) (-.f64 x y)))
(*.f64 y (+.f64 (-.f64 y z) (+.f64 y x)))
(*.f64 y (+.f64 (+.f64 y x) (-.f64 y z)))
(*.f64 y (+.f64 (-.f64 x y) (-.f64 y z)))
(*.f64 y (-.f64 (-.f64 x #s(literal 0 binary64)) z))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x #s(literal 0 binary64)) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(*.f64 (+.f64 y x) y)
(*.f64 (-.f64 x y) (neg.f64 y))
(*.f64 (-.f64 x y) y)
(*.f64 (neg.f64 y) (-.f64 x y))
(*.f64 (neg.f64 y) (+.f64 y x))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 x #s(literal 0 binary64)) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
x
y
(neg.f64 (neg.f64 y))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (fabs.f64 y) y)
(*.f64 (fabs.f64 y) (neg.f64 y))
(*.f64 (neg.f64 y) y)
(*.f64 y z)
(*.f64 z y)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (neg.f64 z) y)
z

eval8.0ms (0.3%)

Memory: 14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 810 to 181 computations (77.7% saved)

prune3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Accuracy

100.0%

Counts

46 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (.f64 y x) (.f64 y z))
▶	100.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series223.0ms (8.8%)

Memory

-16.6MiB live, 141.7MiB allocated; 30ms collecting garbage

Counts

9 → 23

Calls

Call 1

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

Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (-.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 (* y x) (*.f64 x y))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.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 y)) (* y z)) (.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 y)) (* y z)) (*.f64 y (-.f64 x z)))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (.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 y)) (* y z)) (.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 y)) (* y z)) (.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	y	-inf
2.0ms	x	-inf
2.0ms	y	inf
1.0ms	z	-inf
1.0ms	x	inf

rewrite388.0ms (15.4%)

Memory

5.0MiB live, 188.2MiB allocated; 107ms collecting garbage

Counts

9 → 30

Calls

Call 1

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

Outputs
#s(approx (* y (- x z)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(*.f64 (+.f64 z x) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 y) (+.f64 z x))
(*.f64 y (+.f64 z x))
y
(neg.f64 (neg.f64 y))
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (+.f64 z x)))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (fma.f64 (.f64 x x) x (.f64 (.f64 z z) z))) (fma.f64 z (-.f64 z x) (.f64 x x)))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 x z)) (*.f64 (+.f64 z x) (-.f64 x z))) (-.f64 x z))
(.f64 (fma.f64 (+.f64 z x) z (.f64 x x)) (/.f64 (-.f64 x z) (fma.f64 (+.f64 z x) z (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 z z) z)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (+.f64 z x) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 z x) z) (-.f64 (.f64 (+.f64 z x) z) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
x
z
(*.f64 y (-.f64 x z))
(*.f64 (+.f64 z x) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 y) (+.f64 z x))
(*.f64 y (+.f64 z x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (-.f64 x #s(literal 0 binary64)) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(*.f64 y z)
(*.f64 z y)
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) z))
(*.f64 (neg.f64 z) y)

eval4.0ms (0.2%)

Memory: 6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 016 to 192 computations (81.1% saved)

prune2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	45	2	47

Accuracy

100.0%

Counts

47 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (.f64 y x) (.f64 y z))
✓	100.0%	#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes6.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Accuracy

Total -20.0b remaining (-511187.3%)

Threshold costs -20b (-511187.3%)

Counts

3 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 61 to 38 computations (37.7% 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)

preprocess9.0ms (0.4%)

Memory: -35.0MiB live, 10.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 36 to 21 computations (41.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (49.1%)

preprocess68.0ms (2.7%)

series263.0ms (10.4%)

rewrite306.0ms (12.2%)

eval8.0ms (0.3%)

prune3.0ms (0.1%)

series223.0ms (8.8%)

rewrite388.0ms (15.4%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes6.0ms (0.3%)

derivations0.0ms (0%)

preprocess9.0ms (0.4%)

end0.0ms (0%)

Profiling