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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.1s (53.4%)

Memory

6.5MiB live, 811.3MiB allocated; 412ms collecting garbage

Samples

625.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult!: 195.0ms (73.2% of total)

ival-sub!: 70.0ms (26.3% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess75.0ms (3.8%)

Memory

-8.5MiB live, 39.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	93	42
2	366	42
3	1284	42
4	4265	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series176.0ms (8.8%)

Memory

3.8MiB live, 49.7MiB allocated; 24ms collecting garbage

Counts

7 → 17

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

Calls

6 calls:

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

rewrite250.0ms (12.5%)

Memory

31.0MiB live, 77.4MiB allocated; 5ms collecting garbage

Counts

7 → 25

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

eval3.0ms (0.2%)

Memory: 3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 485 to 120 computations (75.3% saved)

prune3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))
▶	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 x) y)))
✓	94.5%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	55.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 x y)))

Compiler

Compiled 40 to 31 computations (22.5% saved)

series182.0ms (9.1%)

Memory

-30.6MiB live, 95.9MiB allocated; 35ms collecting garbage

Counts

14 → 25

Calls

Call 1

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

Calls

6 calls:

Time	Variable	Point
26.0ms	y	0
2.0ms	x	-inf
2.0ms	y	-inf
2.0ms	x	inf
2.0ms	x	0

rewrite205.0ms (10.3%)

Memory

-17.2MiB live, 124.4MiB allocated; 38ms collecting garbage

Counts

14 → 64

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 787 to 202 computations (74.3% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	59	4	63

Accuracy

100.0%

Counts

63 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 x (-.f64 x y)) #s(literal 2 binary64))
✓	96.5%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 x) y)))
✓	94.5%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	55.8%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 x y)))

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes13.0ms (0.7%)

Memory

-20.4MiB live, 27.1MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 1

Calls

Call 1

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

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

Call 2

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

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

Calls

8 calls:

3.0ms	(-.f64 (.f64 x x) (.f64 x y))
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
2.0ms	y
1.0ms	y

Results

Accuracy	Segments	Branch
55.8%	1	`(-.f64 (.f64 x x) (.f64 x y))`
55.8%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
55.8%	1	`x`
55.8%	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 76 to 54 computations (28.9% saved)

derivations0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 15 computations (31.8% saved)

preprocess13.0ms (0.7%)

Memory: 27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 31 to 22 computations (29% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (53.4%)

preprocess75.0ms (3.8%)

series176.0ms (8.8%)

rewrite250.0ms (12.5%)

eval3.0ms (0.2%)

prune3.0ms (0.1%)

series182.0ms (9.1%)

rewrite205.0ms (10.3%)

eval5.0ms (0.3%)

prune3.0ms (0.2%)

regimes13.0ms (0.7%)

derivations0.0ms (0%)

preprocess13.0ms (0.7%)

end0.0ms (0%)

Profiling