Details

sample51.0ms

Algorithm

intervals

Results

12.0ms	47×	body	1280	valid
10.0ms	48×	body	640	valid
7.0ms	131×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	10×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite120.0ms

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)
107.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series775.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(cbrt (+ x 1.0))
341.0ms	(cbrt x)
298.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.0s

Counts

53 → 53

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	131	649
1	312	597
2	928	573
3	3661	539
done	5003	513

prune356.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.1b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
163.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
79.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series948.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (+ x 1.0))
325.0ms	(cbrt x)
243.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
243.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	166	1057
1	371	936
2	1057	887
3	3817	839
done	5000	801

prune553.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
20.2b	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

7.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
151.0ms	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

series903.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (+ x 1.0))
155.0ms	(cbrt (+ x 1.0))
335.0ms	(cbrt x)
253.0ms	(- (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0)))) (cbrt x))

simplify3.9s

Counts

63 → 63

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	126	1011
1	313	963
2	982	686
3	4201	619
done	5000	583

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
5.1b	(log (exp (- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))))
15.7b	(cbrt (- (* x x) (* 1.0 1.0)))
16.3b	(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

rewrite797.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
33×	`cbrt-prod`
21×	`difference-of-squares`
16×	`times-frac`
15×	`log-pow`
14×	`exp-prod`
12×	`*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `log-prod`
4×	`add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `cbrt-div` `flip3--` `pow1/3` `exp-sum` `flip--` `distribute-lft-out--`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt x)
540.0ms	(log (exp (- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))))
12.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
238.0ms	(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

352.0ms	(cbrt x)
319.0ms	(log (exp (- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))))
362.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
332.0ms	(- (/ (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0))) (cbrt x))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	228	1929
1	541	1807
2	1758	1669
done	5000	1642

prune814.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes204.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 30.1b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	70
1	50	70
done	50	70

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	1756×	body	1280	valid
393.0ms	1265×	body	640	valid
204.0ms	4037×	body	80	valid
90.0ms	628×	body	320	valid
29.0ms	314×	body	160	valid