Metrics for Expression 2, p15

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 13 to 8 computations (38.5% 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 ival-and, time spent: 0.0ms, 0.0% of total-time

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

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

sample2.1s (75.4%)

Results

1.2s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

Operation ival-add, time spent: 235.0ms, 43.0% of total-time

Operation ival-<=, time spent: 186.0ms, 34.0% of total-time

Operation ival-mult, time spent: 97.0ms, 18.0% of total-time

Operation const, time spent: 18.0ms, 3.0% of total-time

Operation ival-and, time spent: 13.0ms, 2.0% of total-time

Bogosity

preprocess217.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

406×	`fma-def`
50×	`associate-r`
50×	`unsub-neg`
42×	`distribute-lft-neg-in`
38×	`sub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(+.f64 x (*.f64 x x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	33	76
2	99	74
3	304	74
4	504	74
5	624	74
6	629	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(+.f64 x (*.f64 x x))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 x))))

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-add, time spent: 8.0ms, 58.0% of total-time

Operation ival-mult, time spent: 5.0ms, 36.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 10 to 5 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 x x))
▶	100.0%	(*.f64 (+.f64 x 1) x)

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize379.0ms (13.6%)

Compiler: Compiled 21 to 10 computations (52.4% saved)
Precisions: Click to see histograms. Total time spent on operations: 296.0ms
Operation ival-add, time spent: 190.0ms, 64.0% of total-time
Operation ival-mult, time spent: 100.0ms, 34.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	0	0
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 x x))
✓	100.0%	(*.f64 (+.f64 x 1) x)

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes5.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 x 1) x)
(+.f64 x (*.f64 x x))

Outputs
(+.f64 x (*.f64 x x))

Calls

2 calls:

3.0ms	(+.f64 x (*.f64 x x))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 x (*.f64 x x))`

Compiler

Compiled 8 to 4 computations (50% saved)

regimes8.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (+.f64 x 1) x)

Outputs
(*.f64 (+.f64 x 1) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	19	41

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x 1) x)

Outputs
(+.f64 x (*.f64 x x))
(*.f64 (+.f64 x 1) x)
(*.f64 x (+.f64 x 1))

Compiler

Compiled 12 to 7 computations (41.7% saved)

soundness31.0ms (1.1%)

Rules

406×	`fma-def`
50×	`associate-r`
50×	`unsub-neg`
42×	`distribute-lft-neg-in`
38×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	33	76
2	99	74
3	304	74
4	504	74
5	624	74
6	629	74

Stop Event

1×

saturated

Compiler

Compiled 11 to 6 computations (45.5% saved)

end0.0ms (0%)

preprocess38.0ms (1.4%)

Compiler: Compiled 46 to 26 computations (43.5% saved)

analyze0.0ms (0%)

sample2.1s (75.4%)

preprocess217.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize379.0ms (13.6%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes5.0ms (0.2%)

regimes8.0ms (0.3%)

simplify3.0ms (0.1%)

soundness31.0ms (1.1%)

end0.0ms (0%)

preprocess38.0ms (1.4%)

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