Metrics for simple fma test

analyze1.0ms (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)

Precisions

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

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

compiled-spec: 0.0ms (0% of total)

sample18.4s (95.9%)

Results

13.0s	23890×	5	exit
734.0ms	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 12.5s

ival-mult: 3.6s (28.7% of total)

compiled-spec: 3.2s (25.7% of total)

backward-pass: 2.4s (19.6% of total)

ival-add: 2.2s (17.3% of total)

ival-sub: 993.0ms (7.9% of total)

const: 102.0ms (0.8% of total)

Bogosity

preprocess230.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1984×	`fmsub-define`
1846×	`sum3-define`
1806×	`fmm-def`
1790×	`fnmsub-define`
1700×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	119
1	126	110
2	396	10
3	1785	10
4	6246	10
0	8	11
1	22	11
2	73	1
3	273	1
4	731	1
5	2883	1
6	7185	1
0	8109	1

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))

Outputs
(- (+ (* x y) z) (+ 1 (+ (* x y) z)))
#s(literal -1 binary64)

Call 2

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

Outputs
(- (fma x y z) (+ 1 (+ (* x y) z)))
#s(literal -1 binary64)
(- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z)))
#s(literal -1 binary64)
(- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z)))
#s(literal -1 binary64)
(- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z))))
#s(literal -1 binary64)
(neg (- (fma (neg x) y z) (+ 1 (+ (* (neg x) y) z))))
#s(literal 1 binary64)
(neg (- (fma x (neg y) z) (+ 1 (+ (* x (neg y)) z))))
#s(literal 1 binary64)
(neg (- (fma x y (neg z)) (+ 1 (+ (* x y) (neg z)))))
#s(literal 1 binary64)
(- (fma y x z) (+ 1 (+ (* y x) z)))
#s(literal -1 binary64)
(- (fma z y x) (+ 1 (+ (* z y) x)))
#s(literal -1 binary64)
(- (fma x z y) (+ 1 (+ (* x z) y)))
#s(literal -1 binary64)

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain269.0ms (1.4%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`
0	-	-	`(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(fma.f64 x y z)`
0	-	-	`(+.f64 (*.f64 x y) z)`
5	(1.2947937184668129e-148 8.508418867910113e-141 1128.177469329677)	-	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`

Results

183.0ms	260×	5	exit
22.0ms	250×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 93 to 29 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

backward-pass: 39.0ms (32% of total)

ival-mult: 27.0ms (22.2% of total)

ival-add: 24.0ms (19.7% of total)

compiled-spec: 21.0ms (17.2% of total)

ival-sub: 9.0ms (7.4% of total)

const: 1.0ms (0.8% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -1 binary64)

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
-1

Outputs
-1
#s(literal -1 binary64)

localize11.0ms (0.1%)

Results

9.0ms

256×

valid

Compiler

Compiled 5 to 5 computations (0% saved)

Precisions

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite21.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

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%	#s(literal -1 binary64)

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0%)

Accuracy

Total -29.6b remaining (-∞%)

Threshold costs -29.6b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Outputs
#s(literal -1 binary64)

Calls

4 calls:

3.0ms	y
2.0ms	x
2.0ms	z
1.0ms	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

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 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

soundness184.0ms (1%)

Rules

1700×	`+-lowering-+.f64`
1700×	`+-lowering-+.f32`
1384×	`fnmadd-define`
1324×	`fma-define`
1252×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	22	11
2	73	1
3	273	1
4	731	1
5	2883	1
6	7185	1
0	8109	1

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 8 to 8 computations (0% saved)

preprocess44.0ms (0.2%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 110 to 98 computations (10.9% saved)

simple fma test

analyze1.0ms (0%)

sample18.4s (95.9%)

preprocess230.0ms (1.2%)

explain269.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize11.0ms (0.1%)

series0.0ms (0%)

rewrite21.0ms (0.1%)

simplify3.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0%)

simplify7.0ms (0%)

soundness184.0ms (1%)

preprocess44.0ms (0.2%)

end0.0ms (0%)

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