Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	234×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify9.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

34.0ms

(+ x (/ (- x y) 2.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(+ x (/ (- x y) 2.0))

simplify82.0ms

Counts: 16 → 16

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite129.0ms

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` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

128.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

simplify44.0ms

Counts: 23 → 23

prune56.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

198.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
26.0ms	(cbrt (+ x (/ (- x y) 2.0)))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
34.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.4s

Counts

4 → 12

Calls

4 calls:

726.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
515.0ms	(cbrt (+ x (/ (- x y) 2.0)))
558.0ms	(cbrt (+ x (/ (- x y) 2.0)))
557.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify47.0ms

Counts: 107 → 107

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
30.0ms	(cbrt (+ x (/ (- x y) 2.0)))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

560.0ms	(cbrt (+ x (/ (- x y) 2.0)))
537.0ms	(cbrt (+ x (/ (- x y) 2.0)))
542.0ms	(cbrt (+ x (/ (- x y) 2.0)))
536.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify81.0ms

Counts: 68 → 68

prune308.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

end0.0ms

sample669.0ms

Algorithm

intervals

Results

306.0ms	7367×	body	80	valid
31.0ms	248×	body	1280	valid
16.0ms	162×	body	640	valid
12.0ms	79×	body	2560	valid
7.0ms	92×	body	320	valid
3.0ms	56×	body	160	valid