Details

sample283.0ms

Algorithm

intervals

Results

19.0ms	796×	body	80	nan
6.0ms	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 36

Calls

1 calls:

15.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	85	403
1	192	372
2	603	354
3	2368	351
done	5000	350

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

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

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))

series417.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
97.0ms	(cbrt (- x 1.0))
95.0ms	(cbrt (- x 1.0))
100.0ms	(cbrt (- x 1.0))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: 3 (602.0ms)

Iter	Nodes	Cost
0	171	1613
1	389	1464
2	1314	1384
3	4917	1286
done	5000	1286

prune345.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

29.8b

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

10.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify2.0s

Counts

18 → 18

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	53	168
1	120	151
2	311	141
3	944	139
4	3291	138
done	5001	137

prune38.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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
1	7	7
done	7	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

565.0ms	24219×	body	80	nan
150.0ms	7991×	body	80	valid
0.0ms	9×	body	160	valid