Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	57×	body	1280	valid
4.0ms	46×	body	640	valid
3.0ms	122×	body	80	valid
2.0ms	27×	body	320	valid
0.0ms	4×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 31.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
1.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite38.0ms

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:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
31.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series416.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(cbrt (+ x 1.0))
173.0ms	(cbrt x)
152.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	194	2160
1	427	1776
2	1032	1468
3	3261	1349
done	5000	1335

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.6b	(cbrt x)
3.4b	(pow x 2/3)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`cbrt-prod`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
8×	`cbrt-div`
7×	`pow1` `add-exp-log` `flip3-+` `associate-l` `flip-+`
6×	`associate-r` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
58.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
0.0ms	(cbrt x)
1.0ms	(pow x 2/3)

series685.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ x 1.0))
239.0ms	(* (cbrt (+ x 1.0)) (+ (cbrt (+ x 1.0)) (cbrt x)))
177.0ms	(cbrt x)
177.0ms	(pow x 2/3)

simplify752.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	239	1346
1	654	1216
2	1912	1154
done	5000	1154

prune314.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series738.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
176.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune250.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series913.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
176.0ms	(cbrt x)
368.0ms	(cbrt x)
185.0ms	(cbrt x)

simplify3.6s

Counts

64 → 64

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	163	232
4	372	232
5	1066	232
6	4167	232
done	5000	232

prune212.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.2b

regimes63.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

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

end0.0ms

sample522.0ms

Algorithm

intervals

Results

180.0ms	1743×	body	1280	valid
99.0ms	1264×	body	640	valid
88.0ms	4075×	body	80	valid
41.0ms	618×	body	320	valid
12.0ms	300×	body	160	valid