Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	49×	body	1280	valid
6.0ms	48×	body	640	valid
4.0ms	124×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.7b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

8.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
44.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series645.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(cbrt (+ x 1.0))
247.0ms	(cbrt x)
244.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify4.2s

Counts

53 → 53

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	131	649
1	290	597
2	672	573
3	1717	521
4	4878	501
done	5000	501

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b	(cbrt x)
3.6b	(pow x 2/3)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`cbrt-prod`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
8×	`cbrt-div`
7×	`pow1` `add-exp-log` `flip3-+` `associate-l` `flip-+`
6×	`associate-r` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
153.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms	(cbrt x)
3.0ms	(pow x 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (+ x 1.0))
329.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
345.0ms	(cbrt x)
272.0ms	(pow x 2/3)

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	231	1296
1	629	1182
2	1812	1117
done	5000	1047

prune410.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

30.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (cbrt x) (cbrt x))
367.0ms	(cbrt x)
334.0ms	(cbrt x)
355.0ms	(cbrt x)

simplify4.9s

Counts

85 → 85

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune372.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt x)
272.0ms	(cbrt x)
267.0ms	(cbrt x)
298.0ms	(cbrt x)

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune317.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.2b

regimes221.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	14	20
done	14	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

557.0ms	4059×	body	80	valid
474.0ms	1719×	body	1280	valid
243.0ms	1265×	body	640	valid
113.0ms	629×	body	320	valid
23.0ms	328×	body	160	valid