Details

sample102.0ms

Algorithm

intervals

Results

27.0ms	700×	body	80	nan
9.0ms	256×	body	80	valid

simplify81.0ms

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: 0.5b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite62.0ms

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:

58.0ms

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

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

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

simplify2.7s

Counts

37 → 37

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	83	387
1	190	360
2	673	340
3	3653	337
done	5001	335

prune140.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

30.5b

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
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:

9.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify1.3s

Counts

16 → 16

Iterations

Useful iterations: 3 (382.0ms)

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

prune35.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s	23875×	body	80	nan
425.0ms	7994×	body	80	valid
0.0ms	6×	body	160	valid