Details

analyze11.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify156.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	166	17
1	166	17

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

3 → 103

Calls

3 calls:

1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
10.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
216.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series4.1s

Counts

3 → 9

Calls

3 calls:

48.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1.9s	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.1s	(/.f64 (-.f64 1 x) (+.f64 1 x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	22985	9
1	22985	9
0	22985	9
1	22985	9
0	1	3
1	1	3
0	32142	9
0	32142	9
0	1	3
1	1	3
0	61	9
1	61	9
0	61	9
1	61	9
0	1	3
1	1	3

simplify124.0ms

Counts

112 → 112

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4975	1973
1	4975	1973

prune84.0ms

Filtered

71 candidates to 112 candidates (-57.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Merged error: 0b

Counts

113 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

98×	`sqrt-prod_binary64`
91×	`*-un-lft-identity_binary64`
71×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
42×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
11×	`distribute-lft-out_binary64`
9×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
8×	`sqrt-div_binary64`
7×	`associate-/r*_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `sqrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 141

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (+.f64 1 x))
4.0ms	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
13.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

series2.1s

Counts

4 → 12

Calls

4 calls:

469.0ms	(sqrt.f64 (-.f64 1 x))
363.0ms	(sqrt.f64 (+.f64 1 x))
47.0ms	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
1.2s	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	17031	9
1	17031	9
0	17031	9
1	17031	9
0	1	3
1	1	3
0	56	9
1	56	9
0	56	9
1	56	9
0	1	3
1	1	3
0	4439	9
1	4439	9
0	4439	9
1	4439	9
0	1	3
1	1	3
0	6808	9
1	6808	9
0	6808	9
1	6808	9
0	1	3
1	1	3

simplify105.0ms

Counts

153 → 153

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4938	2957
1	4938	2957

prune96.0ms

Filtered

82 candidates to 153 candidates (-86.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	2	155

Merged error: 0b

Counts

155 → 2

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample484.0ms

Algorithm

intervals

Results

383.0ms

8000×

body

valid

Details

analyze11.0ms

sample20.0ms

simplify156.0ms

prune13.0ms

localize9.0ms

rewrite234.0ms

series4.1s

simplify124.0ms

prune84.0ms

localize9.0ms

rewrite33.0ms

series2.1s

simplify105.0ms

prune96.0ms

regimes44.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample484.0ms

Profiling