Details

sample218.0ms

Algorithm

intervals

Results

117.0ms	803×	body	80	nan
17.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1)) (sqrt x))

rewrite26.0ms

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:

24.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

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

simplify2.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
4	3389
3	1119
2	429
1	190
0	85

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `sum-log` `sub-neg` `flip3-+` `times-frac` `flip3--` `add-cbrt-cube` `associate--l+` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `flip--` `distribute-lft-out`

Counts

1 → 21

Calls

1 calls:

46.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify1.8s

Counts

24 → 24

Iterations

Iter	Nodes
done	5009
3	2683
2	579
1	167
0	67

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 1 expressions with local error:

31.2b

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

rewrite17.0ms

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:

17.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify1.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5010
3	1977
2	625
1	228
0	78

prune102.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.8s	24555×	body	80	nan
714.0ms	7991×	body	80	valid
1.0ms	9×	body	160	valid