Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	57×	body	1280	valid
4.0ms	46×	body	640	valid
3.0ms	122×	body	80	valid
2.0ms	27×	body	320	valid
0.0ms	4×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 31.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
1.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite26.0ms

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:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series413.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(cbrt (+ x 1.0))
175.0ms	(cbrt x)
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify883.0ms

Counts

53 → 53

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	131	649
1	291	597
2	698	573
3	1810	521
done	5001	521

prune138.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.4b

localize14.0ms

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)
3.4b	(pow x 2/3)

rewrite69.0ms

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:

2.0ms	(cbrt (+ x 1.0))
63.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.0ms	(cbrt x)
1.0ms	(pow x 2/3)

series656.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ x 1.0))
227.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
172.0ms	(cbrt x)
168.0ms	(pow x 2/3)

simplify693.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	231	1296
1	628	1182
2	1777	1117
done	5000	1117

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

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)

rewrite9.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series748.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt x) (cbrt x))
180.0ms	(cbrt x)
183.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify3.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune226.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series707.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
178.0ms	(cbrt x)
176.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify3.3s

Counts

56 → 56

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	161	208
4	369	208
5	1062	208
6	4138	208
done	5001	208

prune180.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.2b

regimes70.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	22
1	17	20
done	17	20

end0.0ms

sample541.0ms

Algorithm

intervals

Results

191.0ms	1743×	body	1280	valid
103.0ms	1264×	body	640	valid
94.0ms	4075×	body	80	valid
37.0ms	618×	body	320	valid
12.0ms	300×	body	160	valid