Metrics for simple fma test

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 16 to 10 computations (37.5% saved)

sample1.8s (62%)

Results

357.0ms	3087×	256	valid
848.0ms	2693×	1024	valid
251.0ms	1336×	512	valid
369.0ms	1140×	2048	valid

Bogosity

preprocess583.0ms (19.7%)

Algorithm

1×	egg-herbie

Rules

5206×	`fma-define`
1822×	`fma-neg`
1652×	`unsub-neg`
952×	`sub-neg`
582×	`distribute-neg-in`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
211	5	(1.767453085989687e-157 5.44663903551989e-17 19377023.08218274)	-	`(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))`
0	0	-	-	`(+.f64 1 (+.f64 (*.f64 x y) z))`
0	0	-	-	`x`
0	0	-	-	`y`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`z`
0	0	-	-	`(fma.f64 x y z)`
0	0	-	-	`(+.f64 (*.f64 x y) z)`
0	0	-	-	`1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	553
1	137	541
2	378	11
3	1534	11
4	3599	11
5	5046	11
6	5988	11
7	7022	11
8	7660	11
9	7744	11
10	7744	11
11	7852	11
12	7939	11
13	7960	11
14	7972	11
15	7978	11
16	7978	11

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 93 to 35 computations (62.4% saved)

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	-1

Compiler

Compiled 4 to 4 computations (0% saved)

localize11.0ms (0.4%)

Compiler: Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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%	-1

Compiler

Compiled 20 to 14 computations (30% saved)

regimes70.0ms (2.4%)

Accuracy

Total -51.2b remaining (-∞%)

Threshold costs -51.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

Outputs
-1

Calls

4 calls:

62.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
3.0ms	z
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
-1

Outputs
-1

Compiler

Compiled 4 to 4 computations (0% saved)

soundness410.0ms (13.8%)

Rules

5206×	`fma-define`
1822×	`fma-neg`
1652×	`unsub-neg`
952×	`sub-neg`
582×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	553
1	137	541
2	378	11
3	1534	11
4	3599	11
5	5046	11
6	5988	11
7	7022	11
8	7660	11
9	7744	11
10	7744	11
11	7852	11
12	7939	11
13	7960	11
14	7972	11
15	7978	11
16	7978	11

Stop Event

1×	node limit

Compiler

Compiled 58 to 22 computations (62.1% saved)

end0.0ms (0%)

preprocess46.0ms (1.6%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 110 to 98 computations (10.9% saved)

analyze0.0ms (0%)

sample1.8s (62%)

preprocess583.0ms (19.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes70.0ms (2.4%)

simplify2.0ms (0.1%)

soundness410.0ms (13.8%)

end0.0ms (0%)

preprocess46.0ms (1.6%)

Profiling