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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample1.1s (53%)

Memory

-4.0MiB live, 1 028.0MiB allocated; 365ms collecting garbage

Samples

370.0ms	5 627×	0	valid
337.0ms	2 629×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-mult!: 249.0ms (58.5% of total)

ival-sub!: 85.0ms (20% of total)

adjust: 68.0ms (16% of total)

ival-add!: 24.0ms (5.6% of total)

Bogosity

preprocess111.0ms (5.2%)

Memory

-0.3MiB live, 49.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	136
1	214	92
2	989	56
3	4198	52
4	7971	52

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Symmetry

(negabs y)

Compiler

Compiled 30 to 18 computations (40% saved)

series179.0ms (8.5%)

Memory

23.8MiB live, 68.3MiB allocated; 10ms 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
4.0ms	y	inf
3.0ms	y	-inf
3.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	0

rewrite206.0ms (9.8%)

Memory

16.7MiB live, 154.6MiB allocated; 47ms collecting garbage

Counts

9 → 35

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

eval9.0ms (0.4%)

Memory: -30.9MiB live, 12.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 897 to 179 computations (80% saved)

prune1.0ms (0.1%)

Memory

3.5MiB live, 3.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Accuracy

100.0%

Counts

50 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

series224.0ms (10.6%)

Memory

28.1MiB live, 123.9MiB allocated; 59ms collecting garbage

Counts

10 → 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 #s(approx (+ (- (* x y) (* y y)) (* y y)) (.f64 x y)) (.f64 y z))
#s(approx (+ (- (* x y) (* y y)) (* y y)) (*.f64 x y))
(*.f64 x y)
(*.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 (+ (- (* x y) (* y y)) (* y y)) (*.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
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	z	-inf
1.0ms	y	inf
1.0ms	x	inf

rewrite230.0ms (10.9%)

Memory

0.5MiB live, 136.5MiB allocated; 63ms collecting garbage

Counts

10 → 15

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

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

eval3.0ms (0.1%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 793 to 140 computations (82.3% saved)

prune2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	32	2	34

Accuracy

100.0%

Counts

34 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes16.0ms (0.8%)

Memory

-38.0MiB live, 13.5MiB allocated; 12ms collecting garbage

Accuracy

Total -19.8b remaining (-252861.9%)

Threshold costs -19.8b (-252861.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(-.f64 #s(approx (+ (- (* x y) (* y y)) (* y y)) (*.f64 x y)) (*.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	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
1.0ms	x

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 73 to 38 computations (47.9% saved)

derivations0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 12 computations (42.9% saved)

preprocess10.0ms (0.5%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms 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%)

sample1.1s (53%)

preprocess111.0ms (5.2%)

series179.0ms (8.5%)

rewrite206.0ms (9.8%)

eval9.0ms (0.4%)

prune1.0ms (0.1%)

series224.0ms (10.6%)

rewrite230.0ms (10.9%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes16.0ms (0.8%)

derivations0.0ms (0%)

preprocess10.0ms (0.5%)

end0.0ms (0%)

Profiling