Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	241×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid

simplify128.0ms

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))

rewrite32.0ms

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:

32.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify1.1s

Counts: 16 → 16

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

10.0ms

(- (* 1.5 x) (* 0.5 y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (* 1.5 x) (* 0.5 y))

simplify1.1s

Counts: 15 → 15

prune37.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite260.0ms

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:

193.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
23.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

506.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
572.0ms	(cbrt (+ x (/ (- x y) 2.0)))
552.0ms	(cbrt (+ x (/ (- x y) 2.0)))
467.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify914.0ms

Counts: 107 → 107

prune357.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite107.0ms

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:

29.0ms	(cbrt (+ x (/ (- x y) 2.0)))
29.0ms	(cbrt (+ x (/ (- x y) 2.0)))
28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

561.0ms	(cbrt (+ x (/ (- x y) 2.0)))
540.0ms	(cbrt (+ x (/ (- x y) 2.0)))
526.0ms	(cbrt (+ x (/ (- x y) 2.0)))
530.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify949.0ms

Counts: 68 → 68

prune256.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample633.0ms

Algorithm

intervals

Results

282.0ms	7405×	body	80	valid
39.0ms	87×	body	2560	valid
27.0ms	223×	body	1280	valid
16.0ms	160×	body	640	valid
6.0ms	85×	body	320	valid
2.0ms	41×	body	160	valid