Details

sample433.0ms

Algorithm

intervals

Results

53.0ms	756×	body	80	nan
14.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify70.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 1 expressions with local error:

0.6b	(* (sqrt (- x 1)) (sqrt x))

rewrite39.0ms

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:

36.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify706.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2006
3	1119
2	429
1	190
0	85

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

33.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify885.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	2001
3	1291
2	278
1	102
0	41

prune52.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

32.4b

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `flip--` `add-log-exp`

Counts

1 → 14

Calls

1 calls:

7.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify820.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	2000
4	1443
3	574
2	238
1	110
0	51

prune46.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.7s	23859×	body	80	nan
568.0ms	7995×	body	80	valid
1.0ms	5×	body	160	valid