Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	138×	body	80	valid
10.0ms	59×	body	1280	valid
4.0ms	35×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

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: 28.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite100.0ms

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)
81.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series590.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(cbrt (+ x 1.0))
240.0ms	(cbrt x)
225.0ms	(- (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

prune269.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (cbrt (+ x 1.0)))
0.6b	(cbrt x)
9.1b	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
10.0ms	(cbrt (cbrt (+ x 1.0)))
2.0ms	(cbrt x)
56.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series836.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ x 1.0))
133.0ms	(cbrt (cbrt (+ x 1.0)))
291.0ms	(cbrt x)
273.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify2.3s

Counts

66 → 66

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	177	1052
1	403	1007
2	998	922
3	2671	801
done	5000	631

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ x 1.0)))
0.3b	(cbrt (cbrt (cbrt (+ x 1.0))))
0.6b	(cbrt x)
12.3b	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt (cbrt (+ x 1.0)))
10.0ms	(cbrt (cbrt (cbrt (+ x 1.0))))
2.0ms	(cbrt x)
214.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

series741.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (cbrt (+ x 1.0)))
120.0ms	(cbrt (cbrt (cbrt (+ x 1.0))))
285.0ms	(cbrt x)
219.0ms	(- (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (cbrt (cbrt (cbrt (+ x 1.0)))))) (cbrt x))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	228	1434
1	512	1388
2	1315	1284
3	3812	1166
done	5000	935

prune339.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
9.1b	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))
9.1b	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
98.0ms	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))
54.0ms	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt x)
325.0ms	(cbrt x)
273.0ms	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))
198.0ms	(- (* (cbrt (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt x))

simplify3.8s

Counts

58 → 58

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	101	1102
1	235	1046
2	584	948
3	1583	798
4	4655	774
done	5001	490

prune379.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes57.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 29.6b

bsearch114.0ms

Steps

Iters	Range		Point
8	1902.9075791774285	6884452.324493753	70939.05875514662
9	-3592450.023809973	-45.38980787391071	-56162.192392149846

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	67
1	37	48
done	37	48

end0.0ms

sample1.5s

Algorithm

intervals

Results

634.0ms	1260×	body	640	valid
353.0ms	1684×	body	1280	valid
205.0ms	4141×	body	80	valid
62.0ms	608×	body	320	valid
22.0ms	307×	body	160	valid