Details

sample286.0ms

Algorithm

intervals

Results

59.0ms	804×	body	80	nan
16.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify59.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	6

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize119.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`sqrt-prod`
10×	`associate-l`
8×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/` `difference-of-squares`
1×	`flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

80.0ms

(* (sqrt (- x 1)) (sqrt x))

series149.0ms

Counts

1 → 3

Calls

1 calls:

149.0ms

(* (sqrt (- x 1)) (sqrt x))

simplify5.0s

Counts

40 → 40

Iterations

Iter	Nodes
5	4591
4	1986
3	920
2	390
1	184
0	85

prune302.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (- -1/2 (/ 1/8 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
2×	`associate-+r+` `sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out--`

Counts

1 → 18

Calls

1 calls:

15.0ms

(+ x (- -1/2 (/ 1/8 x)))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (- -1/2 (/ 1/8 x)))

simplify1.8s

Counts

21 → 21

Iterations

Iter	Nodes
4	4275
3	1196
2	270
1	95
0	39

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

34.3b

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
2×	`pow-pow` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `add-cbrt-cube` `pow-prod-down` `prod-exp` `insert-posit16` `div-inv` `add-log-exp` `sqr-pow`

Counts

1 → 28

Calls

1 calls:

18.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify3.5s

Counts

31 → 31

Iterations

Iter	Nodes
4	4378
3	1741
2	595
1	226
0	78

prune190.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.7s	24010×	body	80	nan
826.0ms	7991×	body	80	valid
1.0ms	9×	body	160	valid