Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	64×	body	1280	valid
8.0ms	43×	body	640	valid
7.0ms	117×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	8×	body	160	valid

simplify8.0ms

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:

8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
80.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series649.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(cbrt (+ x 1.0))
289.0ms	(cbrt x)
215.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify4.3s

Counts

53 → 53

Iterations

Useful iterations: 4 (2.2s)

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

prune186.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize17.0ms

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)

rewrite159.0ms

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:

5.0ms	(cbrt (+ x 1.0))
148.0ms	(* (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:

126.0ms	(cbrt (+ x 1.0))
385.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
351.0ms	(cbrt x)
284.0ms	(pow x 2/3)

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

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

prune446.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
13.0ms	(* (fabs (cbrt x)) (fabs (cbrt x)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt x)
236.0ms	(cbrt x)
255.0ms	(cbrt x)
37.0ms	(* (fabs (cbrt x)) (fabs (cbrt x)))

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	55	469
1	100	380
2	239	330
3	522	308
4	1266	301
done	5001	298

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (fabs (cbrt x)) 3/2)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 50

Calls

4 calls:

3.0ms	(pow (fabs (cbrt x)) 3/2)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

196.0ms	(pow (fabs (cbrt x)) 3/2)
245.0ms	(cbrt x)
216.0ms	(cbrt x)
352.0ms	(cbrt x)

simplify1.6s

Counts

62 → 62

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	57	364
1	106	332
2	216	310
3	511	301
4	1896	301
done	5001	289

prune251.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

regimes140.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	31
1	20	31
done	20	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

509.0ms	1780×	body	1280	valid
281.0ms	1222×	body	640	valid
213.0ms	4046×	body	80	valid
82.0ms	659×	body	320	valid
24.0ms	293×	body	160	valid