Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	46×	body	1280	valid
5.0ms	46×	body	640	valid
4.0ms	131×	body	80	valid
2.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.0ms

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: 30.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.6b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
73.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series660.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(cbrt (+ x 1.0))
322.0ms	(cbrt x)
230.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify943.0ms

Counts

108 → 108

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	194	2160
1	459	1790
2	1408	1468
done	5001	1288

prune422.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
21.3b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
18×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 76

Calls

4 calls:

3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))
93.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt (cbrt x))
444.0ms	(cbrt (cbrt x))
376.0ms	(cbrt (cbrt x))
233.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))

simplify2.8s

Counts

88 → 88

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	132	1236
1	307	881
2	978	689
3	4644	642
done	5000	642

prune431.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
23.8b	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
18×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
171.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x))))

series1.3s

Counts

4 → 12

Calls

4 calls:

352.0ms	(cbrt (cbrt x))
351.0ms	(cbrt (cbrt x))
395.0ms	(cbrt (cbrt x))
214.0ms	(- (cbrt (+ x 1.0)) (* (* (cbrt (cbrt x)) (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x))))) (cbrt (cbrt x))))

simplify885.0ms

Counts

88 → 88

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	135	1786
1	315	1725
2	1090	1165
done	5001	661

prune584.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(cbrt (+ 1.0 x))
0.6b	(cbrt x)
3.3b	(pow x 2/3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

8.0ms	(cbrt (+ 1.0 x))
16.0ms	(cbrt (+ 1.0 x))
2.0ms	(cbrt x)
5.0ms	(pow x 2/3)

series800.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ 1.0 x))
122.0ms	(cbrt (+ 1.0 x))
293.0ms	(cbrt x)
263.0ms	(pow x 2/3)

simplify864.0ms

Counts

76 → 76

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	127	659
1	309	603
2	1125	572
done	5000	526

prune488.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	22
1	17	20
2	18	20
done	18	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

703.0ms	4078×	body	80	valid
376.0ms	1682×	body	1280	valid
239.0ms	1299×	body	640	valid
117.0ms	606×	body	320	valid
28.0ms	335×	body	160	valid