Details

sample48.0ms

Algorithm

intervals

Results

16.0ms	64×	body	1280	valid
8.0ms	43×	body	640	valid
6.0ms	117×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	8×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
2.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite97.0ms

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:

7.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
80.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series692.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(cbrt (+ x 1.0))
316.0ms	(cbrt x)
209.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.5s

Counts

108 → 108

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	194	2160
1	433	1776
2	994	1468
3	2999	1265
done	5000	1254

prune384.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 1.0 x))
0.3b	(cbrt (+ 1.0 x))
0.5b	(cbrt x)
3.2b	(pow x 2/3)

rewrite13.0ms

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:

4.0ms	(cbrt (+ 1.0 x))
4.0ms	(cbrt (+ 1.0 x))
1.0ms	(cbrt x)
3.0ms	(pow x 2/3)

series868.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ 1.0 x))
148.0ms	(cbrt (+ 1.0 x))
331.0ms	(cbrt x)
279.0ms	(pow x 2/3)

simplify2.0s

Counts

76 → 76

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	127	659
1	274	603
2	611	572
3	1564	510
done	5001	486

prune344.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(* (cbrt x) (cbrt x))

series1.3s

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt x)
336.0ms	(cbrt x)
308.0ms	(cbrt x)
356.0ms	(* (cbrt x) (cbrt x))

simplify5.2s

Counts

93 → 93

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune381.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 87

Calls

4 calls:

2.0ms	(cbrt x)
13.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt x)
332.0ms	(* (cbrt x) (cbrt x))
429.0ms	(cbrt (cbrt x))
370.0ms	(cbrt (cbrt x))

simplify5.6s

Counts

99 → 99

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	85	644
1	152	535
2	388	507
3	1243	489
4	4946	484
done	5000	484

prune594.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes90.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	21
1	14	19
done	14	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

392.0ms	1780×	body	1280	valid
302.0ms	1222×	body	640	valid
197.0ms	4046×	body	80	valid
69.0ms	659×	body	320	valid
20.0ms	293×	body	160	valid