Details

sample284.0ms

Algorithm

intervals

Results

19.0ms	796×	body	80	nan
6.0ms	256×	body	80	valid

simplify12.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

16.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify1.7s

Counts

37 → 37

Iterations

Useful iterations: 4 (746.0ms)

Iter	Nodes	Cost
0	83	387
1	182	354
2	451	338
3	1080	335
4	2597	334
done	5000	334

prune71.0ms

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

localize11.0ms

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))

rewrite31.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 101

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))

series433.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
98.0ms	(cbrt (- x 1.0))
102.0ms	(cbrt (- x 1.0))
105.0ms	(cbrt (- x 1.0))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: 3 (420.0ms)

Iter	Nodes	Cost
0	167	1563
1	370	1421
2	1021	1353
3	2939	1256
done	5001	1256

prune336.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

29.8b

(pow (* x (- x 1.0)) (/ 1 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
2×	`pow-pow` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `pow-prod-down` `prod-exp` `add-cbrt-cube` `div-inv` `add-log-exp` `sqr-pow`

Counts

1 → 27

Calls

1 calls:

5.0ms

(pow (* x (- x 1.0)) (/ 1 2))

series98.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(pow (* x (- x 1.0)) (/ 1 2))

simplify543.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (190.0ms)

Iter	Nodes	Cost
0	87	410
1	221	316
2	454	294
3	1323	266
done	5001	266

prune60.0ms

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

sample1.1s

Algorithm

intervals

Results

608.0ms	24219×	body	80	nan
162.0ms	7991×	body	80	valid
0.0ms	9×	body	160	valid