Details

sample17.0ms

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

simplify220.0ms

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	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

26.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify2.3s

Counts

16 → 16

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	244	157
3	682	157
4	3238	157
done	5002	157

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite305.0ms

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:

218.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
23.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.4s

Counts

4 → 12

Calls

4 calls:

563.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
617.0ms	(cbrt (+ x (/ (- x y) 2.0)))
600.0ms	(cbrt (+ x (/ (- x y) 2.0)))
615.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify3.4s

Counts

107 → 107

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	129	2124
1	263	1959
2	634	1841
3	1497	1650
4	4886	1594
done	5001	1535

prune332.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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 y) 2.0) x))

rewrite119.0ms

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:

34.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
28.0ms	(cbrt (+ x (/ (- x y) 2.0)))
35.0ms	(cbrt (+ (/ (- x y) 2.0) x))

series2.1s

Counts

4 → 12

Calls

4 calls:

473.0ms	(cbrt (+ x (/ (- x y) 2.0)))
510.0ms	(cbrt (+ x (/ (- x y) 2.0)))
536.0ms	(cbrt (+ x (/ (- x y) 2.0)))
567.0ms	(cbrt (+ (/ (- x y) 2.0) x))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: 4 (830.0ms)

Iter	Nodes	Cost
0	90	1040
1	177	1008
2	367	936
3	857	908
4	3014	860
done	5000	860

prune399.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite102.0ms

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)))
31.0ms	(cbrt (+ x (/ (- x y) 2.0)))
24.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.3s

Counts

4 → 12

Calls

4 calls:

584.0ms	(cbrt (+ x (/ (- x y) 2.0)))
528.0ms	(cbrt (+ x (/ (- x y) 2.0)))
528.0ms	(cbrt (+ x (/ (- x y) 2.0)))
612.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.5s

Counts

68 → 68

Iterations

Useful iterations: 4 (575.0ms)

Iter	Nodes	Cost
0	68	1040
1	145	1004
2	318	936
3	780	908
4	2595	860
done	5001	860

prune433.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample901.0ms

Algorithm

intervals

Results

552.0ms	7352×	body	80	valid
29.0ms	229×	body	1280	valid
27.0ms	62×	body	160	valid
17.0ms	160×	body	640	valid
14.0ms	96×	body	2560	valid
9.0ms	104×	body	320	valid