Metrics for sqrt sqr

analyze3.0ms (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 14 to 9 computations (35.7% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	128	46	0.0ms
ival-div	128	46	0.0ms
ival-mult	128	46	0.0ms
ival-sqrt	128	23	0.0ms
ival-sub	128	23	0.0ms

sample2.2s (86.5%)

Results

1.6s	4158×	body	1024	valid
636.0ms	4098×	body	256	valid

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	1852	4158	3.0ms
const	1024	4158	4.0ms
const	800-900	4158	4.0ms
const	512	4158	4.0ms
const	256	16512	18.0ms
ival-div	1852	8316	95.0ms
ival-div	800-900	8316	85.0ms
ival-div	256	16512	158.0ms
ival-mult	1852	8316	73.0ms
ival-mult	800-900	8316	69.0ms
ival-mult	256	16512	143.0ms
ival-sqrt	1852	4158	65.0ms
ival-sqrt	800-900	4158	62.0ms
ival-sqrt	256	8256	121.0ms
ival-sub	1024	4158	28.0ms
ival-sub	512	4158	32.0ms
ival-sub	256	8256	61.0ms

Bogosity

preprocess195.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-def`
138×	`div-sub`
128×	`times-frac`
106×	`fma-neg`
100×	`associate-/l*`

Problems

144×	No Errors
112×	`(sqrt.f64 (*.f64 x x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	128
1	62	100
2	137	92
3	285	92
4	567	92
5	850	92
6	1019	92
7	1123	92
8	1137	92
9	1149	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))
(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 x))))))

Outputs
(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))
(-.f64 1 (*.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))
(-.f64 1 (*.f64 (/.f64 1 x) (fabs.f64 x)))
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 x)))))
(-.f64 1 (/.f64 (*.f64 1 (fabs.f64 x)) (neg.f64 x)))
(-.f64 1 (neg.f64 (/.f64 (fabs.f64 x) x)))
(+.f64 1 (/.f64 (fabs.f64 x) x))
(neg.f64 (-.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 1 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (-.f64 1 (/.f64 (*.f64 1 (fabs.f64 x)) (neg.f64 x))))
(+.f64 -1 (neg.f64 (/.f64 (fabs.f64 x) x)))
(-.f64 -1 (/.f64 (fabs.f64 x) x))

Compiler

Compiled 50 to 23 computations (54% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	1852	131	0.0ms
const	1024	524	0.0ms
const	800-900	131	0.0ms
const	512	524	0.0ms
const	256	1280	1.0ms
ival-div	1852	262	2.0ms
ival-div	1024	262	2.0ms
ival-div	800-900	262	2.0ms
ival-div	512	262	2.0ms
ival-div	256	1024	42.0ms
ival-mult	1852	262	6.0ms
ival-mult	1024	131	1.0ms
ival-mult	800-900	262	2.0ms
ival-mult	512	131	1.0ms
ival-mult	256	768	6.0ms
ival-sqrt	1852	131	2.0ms
ival-sqrt	800-900	131	2.0ms
ival-sqrt	256	256	4.0ms
ival-sub	1024	131	1.0ms
ival-sub	512	131	1.0ms
ival-sub	256	256	3.0ms

eval0.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 1 (/.f64 (fabs.f64 x) x))
▶	100.0%	(-.f64 1 (/.f64 (fabs.f64 x) x))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize31.0ms (1.2%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	256	768	1.0ms
ival-div	256	256	2.0ms
ival-fabs	256	256	1.0ms
ival-sub	256	256	1.0ms

eval0.0ms (0%)

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

prune3.0ms (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%	(-.f64 1 (/.f64 (fabs.f64 x) x))

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.2%)

Accuracy

Total -29.4b remaining (-∞%)

Threshold costs -29.4b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (fabs.f64 x) x))
(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))

Outputs
(-.f64 1 (/.f64 (fabs.f64 x) x))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (/.f64 x x) (.f64 (/.f64 1 x) (sqrt.f64 (.f64 x x))))`

Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`neg-mul-1`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	14	23
2	20	23
3	24	23
4	27	23
5	28	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (fabs.f64 x) x))

Outputs
(-.f64 1 (/.f64 (fabs.f64 x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness72.0ms (2.8%)

Rules

484×	`fma-def`
138×	`div-sub`
128×	`times-frac`
106×	`fma-neg`
100×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	128
1	62	100
2	137	92
3	285	92
4	567	92
5	850	92
6	1019	92
7	1123	92
8	1137	92
9	1149	92

Stop Event

1×

saturated

Compiler

Compiled 127 to 50 computations (60.6% saved)

end0.0ms (0%)

preprocess35.0ms (1.4%)

Compiler: Compiled 54 to 38 computations (29.6% saved)

analyze3.0ms (0.1%)

sample2.2s (86.5%)

preprocess195.0ms (7.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (1.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes6.0ms (0.2%)

simplify2.0ms (0.1%)

soundness72.0ms (2.8%)

end0.0ms (0%)

preprocess35.0ms (1.4%)

Profiling