Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze0.0ms (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 11 to 9 computations (18.2% saved)

sample729.0ms (50.6%)

Memory

-60.9MiB live, 1 092.0MiB allocated; 292ms collecting garbage

Samples

493.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult!: 186.0ms (90.7% of total)

ival-add!: 17.0ms (8.3% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess115.0ms (8%)

Memory

-15.7MiB live, 75.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	106	42
2	455	42
3	1690	42
4	6180	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series115.0ms (8%)

Memory

-2.6MiB live, 102.4MiB allocated; 40ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

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

Calls

6 calls:

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

rewrite157.0ms (10.9%)

Memory

20.1MiB live, 159.6MiB allocated; 39ms collecting garbage

Counts

7 → 28

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y

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

eval4.0ms (0.2%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 488 to 119 computations (75.6% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	3	39

Accuracy

100.0%

Counts

39 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64))
▶	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 x y)))
▶	55.4%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))

Compiler

Compiled 28 to 21 computations (25% saved)

series115.0ms (7.9%)

Memory

-24.1MiB live, 113.6MiB allocated; 26ms collecting garbage

Counts

11 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite157.0ms (10.9%)

Memory

-3.7MiB live, 188.5MiB allocated; 21ms collecting garbage

Counts

11 → 53

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 636 to 158 computations (75.2% saved)

prune3.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64))
✓	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 x y)))
✓	55.4%	(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))

Compiler

Compiled 28 to 21 computations (25% saved)

regimes17.0ms (1.2%)

Memory

-11.2MiB live, 40.0MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))

Outputs
(.f64 #s(literal 2 binary64) #s(approx (+ ( x x) (* x y)) (*.f64 x y)))

Call 2

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

Outputs
(.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64))

Calls

8 calls:

3.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x x) (.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.4%	1	`(+.f64 (.f64 x x) (.f64 x y))`
55.4%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
55.4%	1	`x`
55.4%	1	`y`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`
100.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 73 to 49 computations (32.9% saved)

derivations1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess24.0ms (1.7%)

Memory: 7.9MiB live, 54.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 29 to 19 computations (34.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample729.0ms (50.6%)

preprocess115.0ms (8%)

series115.0ms (8%)

rewrite157.0ms (10.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series115.0ms (7.9%)

rewrite157.0ms (10.9%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

regimes17.0ms (1.2%)

derivations1.0ms (0.1%)

preprocess24.0ms (1.7%)

end0.0ms (0%)

Profiling