Metrics for ReportTypes:explainFloat from gipeda-0.1.2.1

analyze1.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

ival-div: 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)

sample523.0ms (76.3%)

Results

322.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-div: 62.0ms (38.5% of total)

ival-sub: 55.0ms (34.1% of total)

ival-mult: 31.0ms (19.2% of total)

const: 10.0ms (6.2% of total)

backward-pass: 3.0ms (1.9% of total)

Bogosity

preprocess17.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

34×	`fnmadd-define`
32×	`fnmsub-define`
32×	`fmsub-define`
24×	`fma-define`
22×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	39	3
2	89	3
3	121	3
4	157	3
5	184	3
6	198	3
7	200	3
8	224	3
9	240	3
0	5	3
1	12	1
2	24	1
3	27	1
4	29	1
5	35	1
6	39	1
7	45	1
8	48	1
0	48	1

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 100 (/ (- x x) x))

Outputs
(* 100 (/ (- x x) x))
#s(literal 0 binary64)

Call 2

Inputs
(* 100 (/ (- x x) x))
(* 100 (/ (- (neg x) (neg x)) (neg x)))
(neg (* 100 (/ (- (neg x) (neg x)) (neg x))))

Outputs
(* 100 (/ (- x x) x))
#s(literal 0 binary64)
(* 100 (/ (- (neg x) (neg x)) (neg x)))
#s(literal 0 binary64)
(neg (* 100 (/ (- (neg x) (neg x)) (neg x))))
#s(literal 0 binary64)

Symmetry

(abs x)

(negabs x)

explain50.0ms (7.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 100 binary64)`
-	-	`x`
-	-	`(/.f64 (-.f64 x x) x)`
-	-	`(-.f64 x x)`
-	-	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 x x) x))`

Results

27.0ms

512×

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

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

ival-sub: 6.0ms (51.3% of total)

ival-div: 3.0ms (25.7% of total)

ival-mult: 2.0ms (17.1% of total)

const: 1.0ms (8.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal 0 binary64)

Compiler

Compiled 2 to 2 computations (0% saved)

simplify3.0ms (0.5%)

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
0

Outputs
0
#s(literal 0 binary64)

localize11.0ms (1.5%)

Results

8.0ms

256×

valid

Compiler

Compiled 3 to 3 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

rewrite26.0ms (3.8%)

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 (0.5%)

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 1 to 1 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%	#s(literal 0 binary64)

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 x x) x))

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x x) x)
1.0ms	(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 x x) x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 x x) x))`
100.0%	1	`(/.f64 (-.f64 x x) x)`

Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify6.0ms (0.9%)

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 0 binary64)

Outputs
#s(literal 0 binary64)

soundness4.0ms (0.6%)

Rules

10×	`sub-neg`
8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	12	1
2	24	1
3	27	1
4	29	1
5	35	1
6	39	1
7	45	1
8	48	1
0	48	1

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess35.0ms (5.1%)

Remove

(negabs x)

(abs x)

Compiler

Compiled 40 to 34 computations (15% saved)

ReportTypes:explainFloat from gipeda-0.1.2.1

analyze1.0ms (0.2%)

sample523.0ms (76.3%)

preprocess17.0ms (2.5%)

explain50.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.5%)

localize11.0ms (1.5%)

series0.0ms (0%)

rewrite26.0ms (3.8%)

simplify3.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes4.0ms (0.5%)

simplify6.0ms (0.9%)

soundness4.0ms (0.6%)

preprocess35.0ms (5.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	9
1	39	3
2	89	3
3	121	3
4	157	3
5	184	3
6	198	3
7	200	3
8	224	3
9	240	3
0	5	3
1	12	1
2	24	1
3	27	1
4	29	1
5	35	1
6	39	1
7	45	1
8	48	1
0	48	1

Iter	Nodes	Cost
0	10	9
1	39	3
2	89	3
3	121	3
4	157	3
5	184	3
6	198	3
7	200	3
8	224	3
9	240	3
0	5	3
1	12	1
2	24	1
3	27	1
4	29	1
5	35	1
6	39	1
7	45	1
8	48	1
0	48	1

Iter	Nodes	Cost
0	10	9
1	39	3
2	89	3
3	121	3
4	157	3
5	184	3
6	198	3
7	200	3
8	224	3
9	240	3
0	5	3
1	12	1
2	24	1
3	27	1
4	29	1
5	35	1
6	39	1
7	45	1
8	48	1
0	48	1