Details

sample50.0ms

Algorithm

intervals

Results

12.0ms	45×	body	1280	valid
10.0ms	48×	body	640	valid
9.0ms	137×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

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: 28.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
4.1b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite80.0ms

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)
72.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series685.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(cbrt (+ x 1.0))
296.0ms	(cbrt x)
258.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify4.1s

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

prune246.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
4.1b	(- (cbrt (+ x 1.0)) (cbrt x))
8.9b	(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
10×	`log-prod`
8×	`difference-of-squares`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`distribute-lft-out`
2×	`log-div` `cbrt-div` `flip3--` `pow1/3` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 65

Calls

4 calls:

8.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
74.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
35.0ms	(log (- (cbrt (+ x 1.0)) (cbrt x)))

series864.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ x 1.0))
253.0ms	(cbrt x)
211.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
268.0ms	(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify3.0s

Counts

77 → 77

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	206	1230
1	469	1137
2	1221	1078
3	4375	968
done	5000	950

prune392.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (cbrt (+ x 1.0)) (cbrt x))
4.1b	(- (cbrt (+ x 1.0)) (cbrt x))
8.8b	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))
8.8b	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
26×	`log-prod`
16×	`difference-of-squares`
12×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-exp-log`
4×	`log-div` `cbrt-div` `flip3--` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
2×	`sub-neg` `pow1/3` `diff-log` `rem-log-exp`

Counts

4 → 88

Calls

4 calls:

48.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
47.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
58.0ms	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))
42.0ms	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
237.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
427.0ms	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))
408.0ms	(log (cbrt (- (cbrt (+ x 1.0)) (cbrt x))))

simplify3.1s

Counts

100 → 100

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	204	2112
1	450	1972
2	1164	1860
3	4167	1664
done	5001	1636

prune680.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
21.6b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
57.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt x)
274.0ms	(cbrt x)
306.0ms	(cbrt x)
178.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify1.6s

Counts

57 → 57

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	100	645
1	240	607
2	614	399
3	1783	351
done	5000	340

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes114.0ms

Accuracy

98.8% (0.4b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 29.6b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	40
1	31	40
done	31	40

end0.0ms

sample975.0ms

Algorithm

intervals

Results

329.0ms	1683×	body	1280	valid
234.0ms	4135×	body	80	valid
153.0ms	1256×	body	640	valid
55.0ms	608×	body	320	valid
19.0ms	318×	body	160	valid