Details

sample210.0ms

Algorithm

intervals

Results

50.0ms	786×	body	80	nan
12.0ms	256×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite49.0ms

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:

47.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify3.2s

Counts

37 → 37

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	83	387
1	181	354
2	435	338
3	983	335
4	2401	334
done	5001	332

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

30.4b

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify4.2s

Counts

16 → 16

Iterations

Useful iterations: 4 (840.0ms)

Iter	Nodes	Cost
0	51	154
1	113	138
2	252	128
3	564	126
4	1365	125
5	3387	125
done	5001	125

prune47.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	23954×	body	80	nan
884.0ms	7993×	body	80	valid
1.0ms	7×	body	160	valid