Details

sample123.0ms

Algorithm

intervals

Results

21.0ms	642×	body	80	nan
7.0ms	256×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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:

55.0ms

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

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify71.0ms

Counts: 37 → 37

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.125 (/ 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

15.0ms

(* 0.125 (/ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* 0.125 (/ 1 x))

simplify73.0ms

Counts: 39 → 39

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

29.8b

(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))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify147.0ms

Counts: 16 → 16

prune29.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.5s	23598×	body	80	nan
246.0ms	7993×	body	80	valid
0.0ms	7×	body	160	valid