Details

sample326.0ms

Algorithm

intervals

Results

46.0ms	801×	body	80	nan
13.0ms	256×	body	80	valid

simplify14.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- x 1.0))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

8.0ms	(sqrt (- x 1.0))
31.0ms	(* (sqrt (- x 1.0)) (sqrt x))

series218.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(sqrt (- x 1.0))
141.0ms	(* (sqrt (- x 1.0)) (sqrt x))

simplify3.4s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	107	580
1	238	532
2	835	502
3	4398	495
done	5001	495

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

31.7b

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

rewrite14.0ms

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:

13.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.2s

Counts

16 → 16

Iterations

Useful iterations: 3 (420.0ms)

Iter	Nodes	Cost
0	51	154
1	113	138
2	364	128
3	1806	126
done	5001	126

prune45.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.0s	24436×	body	80	nan
531.0ms	7996×	body	80	valid
0.0ms	4×	body	160	valid