Metrics for Linear.V2:$cdot from linear-1.19.1.3, A

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample748.0ms (75.9%)

Memory

47.7MiB live, 1 876.4MiB allocated; 368ms collecting garbage

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult!: 169.0ms (89.9% of total)

ival-add!: 17.0ms (9% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess39.0ms (4%)

Memory

22.8MiB live, 66.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	99	105
2	218	105
3	330	105
4	330	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x y) (.f64 z t))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

series86.0ms (8.7%)

Memory

-63.3MiB live, 54.9MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
6.0ms	x	inf
1.0ms	z	-inf
1.0ms	x	-inf
1.0ms	y	-inf
1.0ms	t	-inf

rewrite10.0ms (1%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	18	17
2	42	17
3	82	17
4	122	17
0	122	16

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

7 → 27

Calls

Call 1

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

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

eval10.0ms (1%)

Memory: -35.9MiB live, 12.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 390 to 99 computations (74.6% saved)

prune1.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z t (*.f64 y x))
▶	45.7%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 17 to 15 computations (11.8% saved)

series8.0ms (0.8%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	190

Stop Event

1×	iter-limit

Counts

8 → 15

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	t	-inf
1.0ms	z	-inf
0.0ms	x	inf

rewrite8.0ms (0.8%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	14	26
1	28	26
2	60	26
3	95	26
4	121	26
0	121	26

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

8 → 28

Calls

Call 1

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

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

eval10.0ms (1%)

Memory: -31.0MiB live, 13.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 406 to 100 computations (75.4% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	36	2	38

Accuracy

100.0%

Counts

38 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 z t (*.f64 y x))
✓	45.7%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes41.0ms (4.1%)

Memory

-18.4MiB live, 77.4MiB allocated; 15ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

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

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

Call 2

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

Outputs
(fma.f64 z t (*.f64 y x))

Calls

14 calls:

16.0ms	(+.f64 (.f64 x y) (.f64 z t))
9.0ms	(*.f64 z t)
2.0ms	t
2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
45.7%	1	`(*.f64 z t)`
45.7%	1	`(*.f64 x y)`
45.7%	1	`(+.f64 (.f64 x y) (.f64 z t))`
45.7%	1	`x`
45.7%	1	`y`
45.7%	1	`z`
45.7%	1	`t`
99.6%	1	`(*.f64 z t)`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`

Compiler

Compiled 58 to 80 computations (-37.9% saved)

derivations2.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 11 computations (35.3% saved)

preprocess20.0ms (2%)

Memory

23.6MiB live, 69.4MiB allocated; 5ms collecting garbage

Remove

(sort z t)

(sort x y)

Compiler

Compiled 92 to 78 computations (15.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample748.0ms (75.9%)

preprocess39.0ms (4%)

series86.0ms (8.7%)

rewrite10.0ms (1%)

eval10.0ms (1%)

prune1.0ms (0.1%)

series8.0ms (0.8%)

rewrite8.0ms (0.8%)

eval10.0ms (1%)

prune2.0ms (0.2%)

regimes41.0ms (4.1%)

derivations2.0ms (0.2%)

preprocess20.0ms (2%)

end0.0ms (0%)

Profiling