Details

sample50.0ms

Algorithm

intervals

Results

17.0ms	64×	body	1280	valid
9.0ms	43×	body	640	valid
7.0ms	117×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
2.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite93.0ms

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:

5.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
84.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series657.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(cbrt (+ x 1.0))
295.0ms	(cbrt x)
244.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.9s

Counts

53 → 53

Iterations

Useful iterations: 4 (1.9s)

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

prune228.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize33.0ms

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)))
0.5b	(cbrt x)
3.2b	(pow x 2/3)

rewrite205.0ms

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:

7.0ms	(cbrt (+ x 1.0))
186.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
1.0ms	(cbrt x)
5.0ms	(pow x 2/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ x 1.0))
313.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
311.0ms	(cbrt x)
299.0ms	(pow x 2/3)

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: done (1.3s)

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

prune320.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(* (cbrt x) (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt x)
274.0ms	(cbrt x)
268.0ms	(cbrt x)
330.0ms	(* (cbrt x) (cbrt x))

simplify5.5s

Counts

85 → 85

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	321	397
3	1098	379
4	4542	374
done	5000	364

prune340.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`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 → 79

Calls

4 calls:

1.0ms	(cbrt x)
11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt x)
321.0ms	(* (cbrt x) (cbrt x))
419.0ms	(cbrt (cbrt x))
441.0ms	(cbrt (cbrt x))

simplify2.6s

Counts

91 → 91

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	79	610
1	146	505
2	382	477
3	1237	459
done	5000	456

prune458.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes82.0ms

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

sample1.2s

Algorithm

intervals

Results

447.0ms	1780×	body	1280	valid
302.0ms	1222×	body	640	valid
208.0ms	4046×	body	80	valid
75.0ms	659×	body	320	valid
22.0ms	293×	body	160	valid