Metrics for Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0.1%)

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 7 computations (22.2% 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-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample798.0ms (60.5%)

Results

561.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-add: 63.0ms (31.7% of total)

ival-div: 61.0ms (30.7% of total)

ival-sub: 55.0ms (27.7% of total)

const: 16.0ms (8.1% of total)

backward-pass: 4.0ms (2% of total)

Bogosity

preprocess0.0ms (0%)

explain131.0ms (10%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`
-	-	`(+.f64 x #s(literal 1 binary64))`

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

110.0ms

512×

256

valid

Compiler

Compiled 50 to 36 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sub: 29.0ms (71.7% of total)

ival-add: 6.0ms (14.8% of total)

ival-div: 4.0ms (9.9% of total)

const: 2.0ms (4.9% of total)

localize35.0ms (2.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

25.0ms

256×

256

valid

Compiler

Compiled 17 to 12 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (34.5% of total)

ival-add: 3.0ms (34.5% of total)

ival-div: 2.0ms (23% of total)

const: 1.0ms (11.5% of total)

rewrite295.0ms (22.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2974×	`/-lowering-/.f32`
2974×	`/-lowering-/.f64`
2752×	`accelerator-lowering-fma.f32`
2752×	`accelerator-lowering-fma.f64`
2188×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	42	16
2	295	16
3	4107	1
0	10017	1

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/ (+ x 1) (- 1 x))

Outputs
#s(literal 1 binary64)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	1	1
Fresh	0	0
Picked	1	1
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 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	45.0%	#s(literal 1 binary64)

Compiler

Compiled 10 to 8 computations (20% saved)

localize13.0ms (1%)

Results

10.0ms

256×

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)

rewrite13.0ms (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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	45.0%	#s(literal 1 binary64)

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes2.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
45.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 9 to 7 computations (22.2% saved)

preprocess25.0ms (1.9%)

Compiler: Compiled 34 to 26 computations (23.5% saved)

Prelude:atanh from fay-base-0.20.0.1

analyze1.0ms (0.1%)

sample798.0ms (60.5%)

preprocess0.0ms (0%)

explain131.0ms (10%)

localize35.0ms (2.6%)

rewrite295.0ms (22.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize13.0ms (1%)

rewrite13.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes2.0ms (0.2%)

regimes1.0ms (0%)

soundness0.0ms (0%)

preprocess25.0ms (1.9%)

end0.0ms (0%)

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