Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	59×	body	1280	valid
5.0ms	48×	body	640	valid
4.0ms	121×	body	80	valid
2.0ms	20×	body	320	valid
0.0ms	8×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.8b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite60.0ms

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-cbrt-cube` `add-exp-log` `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)
52.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series625.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(cbrt (+ x 1.0))
280.0ms	(cbrt x)
239.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.5s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	3704
2	938
1	313
0	131

prune321.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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)
14.0ms	(* (cbrt x) (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt x)
328.0ms	(cbrt x)
346.0ms	(cbrt x)
283.0ms	(* (cbrt x) (cbrt x))

simplify1.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	723
1	138
0	61

prune510.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.2b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
0.6b	(cbrt (cbrt x))
0.7b	(cbrt (* (cbrt x) (cbrt x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
24×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`pow1` `*-un-lft-identity`
12×	`associate-l`
11×	`pow1/3` `add-exp-log`
7×	`swap-sqr` `associate-r` `pow-prod-down`
5×	`add-cbrt-cube`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 86

Calls

4 calls:

19.0ms	(* (cbrt x) (cbrt x))
41.0ms	(* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
1.0ms	(cbrt (cbrt x))
9.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt x) (cbrt x))
315.0ms	(* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))
341.0ms	(cbrt (cbrt x))
478.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	900
1	237
0	105

prune662.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.2b

localize173.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.7b	(cbrt (* (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
92.0ms	(cbrt (* (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

356.0ms	(cbrt (cbrt x))
392.0ms	(cbrt (cbrt x))
357.0ms	(cbrt (cbrt x))
436.0ms	(cbrt (* (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

simplify1.5s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
4	2604
3	763
2	245
1	100
0	55

prune450.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 0.1b

regimes382.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

543.0ms	4178×	body	80	valid
412.0ms	1678×	body	1280	valid
203.0ms	1218×	body	640	valid
109.0ms	611×	body	320	valid
21.0ms	315×	body	160	valid