Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	232×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	5×	body	2560	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

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))

rewrite22.0ms

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:

22.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify2.0s

Counts

16 → 16

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite225.0ms

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:

160.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
24.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
587.0ms	(cbrt (+ x (/ (- x y) 2.0)))
524.0ms	(cbrt (+ x (/ (- x y) 2.0)))
495.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify6.8s

Counts

107 → 107

Iterations

Useful iterations: done (6.8s)

Iter	Nodes	Cost
0	129	2124
1	285	1959
2	887	1841
3	4678	1659
done	5000	1643

prune387.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite120.0ms

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:

28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (+ x (/ (- x y) 2.0)))
31.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.4s

Counts

4 → 12

Calls

4 calls:

520.0ms	(cbrt (+ x (/ (- x y) 2.0)))
497.0ms	(cbrt (+ x (/ (- x y) 2.0)))
917.0ms	(cbrt (+ x (/ (- x y) 2.0)))
506.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.9s

Counts

68 → 68

Iterations

Useful iterations: 4 (800.0ms)

Iter	Nodes	Cost
0	68	1040
1	145	1004
2	326	936
3	913	908
4	4281	860
done	5001	860

prune327.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite79.0ms

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:

18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

492.0ms	(cbrt (+ x (/ (- x y) 2.0)))
464.0ms	(cbrt (+ x (/ (- x y) 2.0)))
439.0ms	(cbrt (+ x (/ (- x y) 2.0)))
424.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: 4 (773.0ms)

Iter	Nodes	Cost
0	68	1040
1	145	1004
2	326	936
3	913	908
4	4281	860
done	5001	860

prune301.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample646.0ms

Algorithm

intervals

Results

296.0ms	7396×	body	80	valid
58.0ms	219×	body	1280	valid
18.0ms	161×	body	640	valid
14.0ms	92×	body	2560	valid
7.0ms	84×	body	320	valid
3.0ms	49×	body	160	valid