Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

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 8 computations (27.3% saved)

Precisions

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

Operation ival-sub, 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

sample881.0ms (67.5%)

Results

561.0ms	7162×	256	valid
87.0ms	1093×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

Operation ival-mult, time spent: 132.0ms, 68.0% of total-time

Operation ival-sub, time spent: 50.0ms, 26.0% of total-time

Operation const, time spent: 13.0ms, 7.0% of total-time

Bogosity

preprocess203.0ms (15.5%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-define`
412×	`fma-neg`
184×	`cancel-sign-sub-inv`
178×	`associate-r`
170×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(-.f64 x (.f64 (.f64 y 4) z))`
-	-	`(.f64 (.f64 y 4) z)`
-	-	`4`
-	-	`y`
-	-	`(*.f64 y 4)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 (neg.f64 x) (.f64 (.f64 y 4) z))
(-.f64 x (.f64 (.f64 (neg.f64 y) 4) z))
(-.f64 x (.f64 (.f64 y 4) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y 4) z)))
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) 4) z)))
(neg.f64 (-.f64 x (.f64 (.f64 y 4) (neg.f64 z))))
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 x (.f64 (.f64 z 4) y))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 z (.f64 y -4)))
(fma.f64 y (*.f64 z -4) x)
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 z (.f64 y -4)))
(fma.f64 y (*.f64 z -4) x)
(-.f64 (neg.f64 x) (.f64 (.f64 y 4) z))
(-.f64 (neg.f64 x) (.f64 y (.f64 4 z)))
(fma.f64 -1 x (.f64 z (.f64 y -4)))
(-.f64 (.f64 z (.f64 y -4)) x)
(-.f64 (.f64 y (.f64 z -4)) x)
(-.f64 x (.f64 (.f64 (neg.f64 y) 4) z))
(-.f64 x (.f64 z (.f64 4 (neg.f64 y))))
(+.f64 x (.f64 y (.f64 4 z)))
(fma.f64 y (*.f64 4 z) x)
(-.f64 x (.f64 (.f64 y 4) (neg.f64 z)))
(-.f64 x (.f64 z (.f64 4 (neg.f64 y))))
(+.f64 x (.f64 y (.f64 4 z)))
(fma.f64 y (*.f64 4 z) x)
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y 4) z)))
(-.f64 x (.f64 z (.f64 4 (neg.f64 y))))
(+.f64 x (.f64 y (.f64 4 z)))
(fma.f64 y (*.f64 4 z) x)
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) 4) z)))
(-.f64 (neg.f64 x) (.f64 y (.f64 4 z)))
(fma.f64 -1 x (.f64 z (.f64 y -4)))
(-.f64 (.f64 z (.f64 y -4)) x)
(-.f64 (.f64 y (.f64 z -4)) x)
(neg.f64 (-.f64 x (.f64 (.f64 y 4) (neg.f64 z))))
(-.f64 (neg.f64 x) (.f64 y (.f64 4 z)))
(fma.f64 -1 x (.f64 z (.f64 y -4)))
(-.f64 (.f64 z (.f64 y -4)) x)
(-.f64 (.f64 y (.f64 z -4)) x)
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 y (.f64 x (.f64 4 z)))
(+.f64 y (.f64 z (.f64 x -4)))
(fma.f64 x (*.f64 z -4) y)
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 z (.f64 x (.f64 y 4)))
(+.f64 z (.f64 x (.f64 y -4)))
(fma.f64 x (*.f64 y -4) z)
(-.f64 x (.f64 (.f64 z 4) y))
(-.f64 x (.f64 y (.f64 4 z)))
(+.f64 x (.f64 z (.f64 y -4)))
(fma.f64 y (*.f64 z -4) x)

Symmetry

(sort y z)

Results

59.0ms	451×	256	valid
10.0ms	60×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-mult, time spent: 24.0ms, 83.0% of total-time

Operation ival-sub, time spent: 3.0ms, 10.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 23 to 14 computations (39.1% saved)

prune2.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize189.0ms (14.5%)

Results

175.0ms	225×	256	valid
3.0ms	30×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 9.0ms, 76.0% of total-time

Operation ival-sub, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 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 x (.f64 (.f64 y 4) z))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`sub-neg`
12×	`+-commutative`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	21	28
2	39	28
3	49	28
4	57	28
5	60	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y 4) z))

Outputs
(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (1.9%)

Remove: (sort y z)
Compiler: Compiled 80 to 56 computations (30% saved)

analyze0.0ms (0%)

sample881.0ms (67.5%)

preprocess203.0ms (15.5%)

eval1.0ms (0%)

prune2.0ms (0.2%)

localize189.0ms (14.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (1.9%)

Profiling