Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	240×	body	80	valid
2.0ms	9×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	640	valid

simplify319.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (39.0ms)

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite3.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

2.9s	(+ (+ (+ (+ (+ x y) y) x) z) x)
169.0ms	(+ (+ (+ x y) y) x)
31.0ms	(+ (+ x y) y)

series126.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
57.0ms	(+ (+ (+ x y) y) x)
43.0ms	(+ (+ x y) y)

simplify1.0s

Counts

62 → 62

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	88	720
1	233	674
2	894	632
done	5001	528

prune180.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite664.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-log-exp`
13×	`*-un-lft-identity` `sum-log`
7×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

636.0ms	(+ (+ (+ (+ x (* 2 y)) x) z) x)
25.0ms	(+ (+ x (* 2 y)) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (+ (+ (+ x (* 2 y)) x) z) x)
61.0ms	(+ (+ x (* 2 y)) x)

simplify2.6s

Counts

38 → 38

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	64	513
1	172	490
2	610	454
3	3284	370
done	5001	358

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

28.0ms	(* (cbrt (* 2 (+ x y))) (cbrt (* 2 (+ x y))))
7.0ms	(cbrt (* 2 (+ x y)))
7.0ms	(cbrt (* 2 (+ x y)))
20.0ms	(cbrt (* 2 (+ x y)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt (* 2 (+ x y))) (cbrt (* 2 (+ x y))))
219.0ms	(cbrt (* 2 (+ x y)))
198.0ms	(cbrt (* 2 (+ x y)))
223.0ms	(cbrt (* 2 (+ x y)))

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	120	1222
1	282	1108
2	788	1019
3	2372	955
done	5000	927

prune371.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (* 2 (+ x y)))
0.6b	(* (cbrt (+ x y)) (cbrt (+ x y)))
1.0b	(cbrt 2)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

4.0ms	(cbrt (+ x y))
7.0ms	(cbrt (* 2 (+ x y)))
73.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
1.0ms	(cbrt 2)

series691.0ms

Counts

4 → 10

Calls

4 calls:

196.0ms	(cbrt (+ x y))
243.0ms	(cbrt (* 2 (+ x y)))
252.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.0ms	(cbrt 2)

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	162	1182
1	350	1070
2	853	1013
3	2314	946
done	5000	933

prune506.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
done	14	11

end0.0ms

sample899.0ms

Algorithm

intervals

Results

436.0ms	7426×	body	80	valid
67.0ms	177×	body	640	valid
32.0ms	177×	body	1280	valid
15.0ms	143×	body	320	valid
7.0ms	34×	body	2560	valid
4.0ms	59×	body	160	valid