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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 (48.7%)

Memory

53.8MiB live, 1 448.0MiB allocated; 301ms collecting garbage

Samples

376.0ms	5 619×	0	valid
291.0ms	2 574×	1	valid
9.0ms	63×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-mult!: 200.0ms (51.3% of total)

adjust: 79.0ms (20.3% of total)

ival-add!: 61.0ms (15.6% of total)

ival-sub!: 49.0ms (12.6% of total)

Bogosity

preprocess201.0ms (9.3%)

Memory

-26.7MiB live, 83.9MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	156
1	220	74
2	1019	52
3	3925	52
4	7286	52

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 z)) (.f64 y y)) (.f64 y y))

Symmetry

(negabs y)

Compiler

Compiled 30 to 18 computations (40% saved)

series196.0ms (9.1%)

Memory

21.0MiB live, 162.3MiB allocated; 62ms collecting garbage

Counts

9 → 27

Calls

Call 1

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

Outputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
#s(approx (- (- (* x y) (* y z)) (* y y)) (*.f64 #s(literal -1 binary64) (fma.f64 y z (pow.f64 y #s(literal 2 binary64)))))
#s(approx (- (- (* x y) (* y z)) (* y y)) (-.f64 (*.f64 x y) (fma.f64 y z (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- (- (* x y) (* y z)) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y z (pow.f64 y #s(literal 2 binary64))) x)))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (+.f64 (/.f64 (*.f64 y z) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))
#s(approx (- (- (* x y) (* y z)) (* y y)) (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) y)) z)))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx (- (- (* x y) (* y z)) (* y y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (- (* x y) (* y z)) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)) #s(literal 1 binary64))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)))
#s(approx (- (- (* x y) (* y z)) (* y y)) (-.f64 (*.f64 x y) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (- (* x y) (* y z)) (* y y)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))))
#s(approx z z)
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) y)))
#s(approx (- (- (* x y) (* y z)) (* y y)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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	inf
2.0ms	y	0

rewrite247.0ms (11.4%)

Memory

22.5MiB live, 160.9MiB allocated; 29ms collecting garbage

Counts

9 → 32

Calls

Call 1

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

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

eval32.0ms (1.5%)

Memory: -18.6MiB live, 31.6MiB allocated; 38ms collecting garbage
Compiler: Compiled 1 057 to 200 computations (81.1% saved)

prune5.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Accuracy

100.0%

Counts

52 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

series166.0ms (7.7%)

Memory

-5.5MiB live, 185.5MiB allocated; 21ms collecting garbage

Counts

10 → 23

Calls

Call 1

Inputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (* 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 z)) (* y y)) (* 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 z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (* y y)) (* 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 z)) (* y y)) (* 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
6.0ms	x	-inf
2.0ms	x	inf
2.0ms	x	0
1.0ms	y	-inf
1.0ms	y	inf

rewrite235.0ms (10.9%)

Memory

-15.4MiB live, 195.0MiB allocated; 176ms collecting garbage

Counts

10 → 22

Calls

Call 1

Inputs
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* 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 z)) (- (* y y) (* 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 (- (- (* x y) (* y z)) (- (* y y) (* 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: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 976 to 158 computations (83.8% saved)

prune2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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 z)) (* y y)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
✓	100.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

regimes13.0ms (0.6%)

Memory

-30.2MiB live, 18.7MiB allocated; 9ms 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 z)) (* y y)) (* y y)) (*.f64 y (-.f64 x z)))

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

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

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

Calls

4 calls:

2.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

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

Compiler

Compiled 77 to 37 computations (51.9% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 21 to 12 computations (42.9% saved)

preprocess10.0ms (0.5%)

Memory: 27.4MiB live, 27.4MiB 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%)

analyze0.0ms (0%)

sample1.1s (48.7%)

preprocess201.0ms (9.3%)

series196.0ms (9.1%)

rewrite247.0ms (11.4%)

eval32.0ms (1.5%)

prune5.0ms (0.2%)

series166.0ms (7.7%)

rewrite235.0ms (10.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

regimes13.0ms (0.6%)

derivations0.0ms (0%)

preprocess10.0ms (0.5%)

end0.0ms (0%)

Profiling