Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify88.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.1s

Counts: 16 → 16

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

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:

153.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

543.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
480.0ms	(cbrt (+ x (/ (- x y) 2.0)))
568.0ms	(cbrt (+ x (/ (- x y) 2.0)))
520.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify942.0ms

Counts: 107 → 107

prune258.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

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)))
28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

569.0ms	(cbrt (+ x (/ (- x y) 2.0)))
493.0ms	(cbrt (+ x (/ (- x y) 2.0)))
485.0ms	(cbrt (+ x (/ (- x y) 2.0)))
495.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.2s

Counts: 68 → 68

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

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:

32.0ms	(cbrt (+ x (/ (- x y) 2.0)))
28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
36.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

583.0ms	(cbrt (+ x (/ (- x y) 2.0)))
560.0ms	(cbrt (+ x (/ (- x y) 2.0)))
476.0ms	(cbrt (+ x (/ (- x y) 2.0)))
520.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.2s

Counts: 68 → 68

prune383.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify103.0ms

end0.0ms

sample710.0ms

Algorithm

intervals

Results

315.0ms	7352×	body	80	valid
64.0ms	229×	body	1280	valid
18.0ms	160×	body	640	valid
16.0ms	96×	body	2560	valid
9.0ms	104×	body	320	valid
4.0ms	62×	body	160	valid