Details

sample95.0ms

Algorithm

intervals

Results

25.0ms	736×	body	80	nan
8.0ms	256×	body	80	valid

simplify74.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- x 1.0))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

10.0ms	(sqrt (- x 1.0))
61.0ms	(* (sqrt (- x 1.0)) (sqrt x))

series159.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(sqrt (- x 1.0))
108.0ms	(* (sqrt (- x 1.0)) (sqrt x))

simplify1.5s

Counts: 57 → 57

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) x)
31.3b	(pow (* (- x 1.0) x) 1/2)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-l`
4×	`add-cbrt-cube`
3×	`pow-unpow` `associate-r`
2×	`pow-pow` `pow-prod-down` `associate-*l/` `pow-exp` `prod-exp` `add-log-exp`
1×	`pow-to-exp` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unpow1/2` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

2 → 40

Calls

2 calls:

22.0ms	(* (- x 1.0) x)
13.0ms	(pow (* (- x 1.0) x) 1/2)

series251.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (- x 1.0) x)
176.0ms	(pow (* (- x 1.0) x) 1/2)

simplify1.9s

Counts: 46 → 46

prune128.0ms

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

simplify4.4s

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	24086×	body	80	nan
716.0ms	7993×	body	80	valid
0.0ms	7×	body	160	valid