Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid

simplify194.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	61	11
3	145	9
4	224	9
5	229	9
done	229	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

14.0ms

(+ x (+ z (* 2 (+ x y))))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ x (+ z (* 2 (+ x y))))

simplify786.0ms

Counts

17 → 17

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	38	232
1	111	221
2	385	203
3	1904	203
done	5000	203

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

15.0ms

(+ (* 3 x) (+ z (* 2 y)))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify842.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	426	194
3	1766	194
done	5000	194

prune29.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

83.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
10.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
9.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
12.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))
260.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
252.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
257.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	136	2604
1	296	2409
2	779	2254
3	2406	2008
done	5000	1943

prune268.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.6b	(cbrt (+ x (+ z (* 2 (+ x y)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
10.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
9.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
14.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
263.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
255.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
270.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))

simplify738.0ms

Counts

68 → 68

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	71	1288
1	166	1244
2	429	1160
3	1452	1128
done	5000	1068

prune419.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample408.0ms

Algorithm

intervals

Results

153.0ms	7399×	body	80	valid
17.0ms	189×	body	1280	valid
13.0ms	190×	body	640	valid
10.0ms	120×	body	320	valid
4.0ms	33×	body	2560	valid
3.0ms	77×	body	160	valid