Details

sample341.0ms

Algorithm

intervals

Results

45.0ms	768×	body	80	nan
15.0ms	256×	body	80	valid

simplify32.0ms

Counts: 1 → 1

prune113.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite88.0ms

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:

85.0ms

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

series219.0ms

Counts

1 → 3

Calls

1 calls:

218.0ms

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

simplify1.3s

Counts: 37 → 37

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify15.0ms

Counts: 0 → 0

prune5.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x 1.0)))
0.1b	(sqrt (sqrt (- x 1.0)))
0.2b	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
0.3b	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
40×	`add-sqr-sqrt`
36×	`sqrt-div`
24×	`*-un-lft-identity`
22×	`associate-l`
20×	`pow1`
16×	`add-cube-cbrt`
13×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `associate-*l/`
9×	`flip3--` `pow1/2` `flip--`
7×	`associate-r`
6×	`unswap-sqr`
4×	`frac-times` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`sqrt-unprod`
2×	`associate-r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

12.0ms	(sqrt (sqrt (- x 1.0)))
9.0ms	(sqrt (sqrt (- x 1.0)))
121.0ms	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
49.0ms	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

series743.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (sqrt (- x 1.0)))
131.0ms	(sqrt (sqrt (- x 1.0)))
113.0ms	(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
349.0ms	(* (sqrt (sqrt (- x 1.0))) (sqrt x))

simplify1.1s

Counts: 134 → 134

prune494.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

-0% (0.4b remaining)

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

bsearch0.0ms

simplify5.4s

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	24053×	body	80	nan
391.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid