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

analyze0.0ms (0%)

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 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (80.5%)

Results

1.3s	6323×	256	valid
237.0ms	1932×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

Operation ival-add, time spent: 203.0ms, 57.0% of total-time

Operation ival-mult, time spent: 147.0ms, 41.0% of total-time

Operation const, time spent: 9.0ms, 3.0% of total-time

Bogosity

preprocess305.0ms (15.2%)

Algorithm

1×	egg-herbie

Rules

226×	`fma-define`
118×	`fma-neg`
68×	`unsub-neg`
50×	`associate-r`
43×	`distribute-lft-neg-out`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`z`
-	-	`(*.f64 z t)`
-	-	`(+.f64 (.f64 x y) (.f64 z t))`
-	-	`t`
-	-	`y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-mult, time spent: 8.0ms, 72.0% of total-time

Operation ival-add, time spent: 3.0ms, 27.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize46.0ms (2.3%)

Compiler: Compiled 22 to 8 computations (63.6% saved)
Precisions: Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 4.0ms, 69.0% of total-time
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	17	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess28.0ms (1.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 132 to 84 computations (36.4% saved)

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464

analyze0.0ms (0%)

sample1.6s (80.5%)

preprocess305.0ms (15.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify9.0ms (0.5%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess28.0ms (1.4%)

Profiling

Iter	Nodes	Cost
0	45	464
1	96	464
2	170	464
3	374	464
4	603	464
5	813	464
6	968	464
7	990	464
8	994	464