Details

sample71.0ms

Algorithm

intervals

Results

41.0ms	738×	body	80	nan
7.0ms	256×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune4.0ms

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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

11.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify1.5s

Counts

37 → 37

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	99	427
1	230	396
2	691	382
3	2527	382
done	5000	382

prune68.0ms

Filtered

25 candidates to 37 candidates (-48.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0b

Counts

3 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

76×	`pow1`
64×	`sqrt-pow1`
44×	`pow-prod-down`
37×	`add-sqr-sqrt`
30×	`pow1/2`
28×	`sqrt-div` `sqrt-prod`
20×	`associate-l`
19×	`*-un-lft-identity`
18×	`associate-*l/`
16×	`associate-r`
15×	`add-cube-cbrt`
14×	`pow-prod-up`
9×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
8×	`flip3--` `pow-sqr` `flip--`
4×	`frac-times` `swap-sqr`
3×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

3 → 133

Calls

3 calls:

20.0ms	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))
9.0ms	(* (sqrt (- x 1.0)) (sqrt x))
13.0ms	(* (sqrt (- x 1.0)) (sqrt x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))
8.0ms	(* (sqrt (- x 1.0)) (sqrt x))
7.0ms	(* (sqrt (- x 1.0)) (sqrt x))

simplify3.1s

Counts

142 → 142

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	167	2018
1	343	1479
2	1077	1405
3	4961	1377
done	5000	1377

prune209.0ms

Filtered

86 candidates to 142 candidates (-65.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x 1.0)))
0.1b	(sqrt (sqrt (- x 1.0)))
0.3b	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
0.3b	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
40×	`add-sqr-sqrt`
36×	`sqrt-div`
24×	`*-un-lft-identity`
22×	`associate-l`
20×	`pow1`
16×	`add-cube-cbrt`
13×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `associate-*l/`
9×	`flip3--` `pow1/2` `flip--`
7×	`associate-r`
6×	`unswap-sqr`
4×	`frac-times` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`sqrt-unprod`
2×	`associate-r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

5.0ms	(sqrt (sqrt (- x 1.0)))
5.0ms	(sqrt (sqrt (- x 1.0)))
17.0ms	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
11.0ms	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (sqrt (- x 1.0)))
7.0ms	(sqrt (sqrt (- x 1.0)))
7.0ms	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
24.0ms	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

simplify765.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	274	2211
1	703	1884
2	2198	1699
done	5000	1699

prune247.0ms

Filtered

91 candidates to 134 candidates (-47.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes71.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

714.0ms	23424×	body	80	nan
230.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid

Details

sample71.0ms

simplify11.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series17.0ms

simplify1.5s

prune68.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune6.0ms

localize8.0ms

rewrite48.0ms

series22.0ms

simplify3.1s

prune209.0ms

localize8.0ms

rewrite44.0ms

series45.0ms

simplify765.0ms

prune247.0ms

regimes71.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling