Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	235×	body	80	valid
2.0ms	8×	body	640	valid
1.0ms	4×	body	2560	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify522.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	505
7	505
6	504
5	497
4	431
3	212
2	66
1	20
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

2.4s	(+ (+ (+ (+ (+ x y) y) x) z) x)
42.0ms	(+ (+ x y) y)
170.0ms	(+ (+ (+ x y) y) x)

series108.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
27.0ms	(+ (+ x y) y)
37.0ms	(+ (+ (+ x y) y) x)

simplify572.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1096
1	245
0	88

prune233.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
4×	`*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

54.0ms	(+ z (+ (+ y y) (* x 3)))
28.0ms	(+ (+ y y) (* x 3))

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ z (+ (+ y y) (* x 3)))
37.0ms	(+ (+ y y) (* x 3))

simplify914.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	786
1	179
0	59

prune206.0ms

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

15.0ms	(cbrt (+ y (+ x y)))
10.0ms	(cbrt (+ y (+ x y)))
10.0ms	(cbrt (+ y (+ x y)))
135.0ms	(* (cbrt (+ y (+ x y))) (cbrt (+ y (+ x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

362.0ms	(cbrt (+ y (+ x y)))
291.0ms	(cbrt (+ y (+ x y)))
270.0ms	(cbrt (+ y (+ x y)))
361.0ms	(* (cbrt (+ y (+ x y))) (cbrt (+ y (+ x y))))

simplify608.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1295
1	315
0	130

prune647.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

398.0ms	(* (cbrt (+ x (+ y (+ x y)))) (cbrt (+ x (+ y (+ x y)))))
62.0ms	(cbrt (+ x (+ y (+ x y))))
68.0ms	(cbrt (+ x (+ y (+ x y))))
42.0ms	(cbrt (+ x (+ y (+ x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

416.0ms	(* (cbrt (+ x (+ y (+ x y)))) (cbrt (+ x (+ y (+ x y)))))
312.0ms	(cbrt (+ x (+ y (+ x y))))
290.0ms	(cbrt (+ x (+ y (+ x y))))
296.0ms	(cbrt (+ x (+ y (+ x y))))

simplify618.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1193
1	333
0	139

prune784.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

896.0ms	7384×	body	80	valid
39.0ms	207×	body	1280	valid
26.0ms	177×	body	640	valid
15.0ms	131×	body	320	valid
10.0ms	37×	body	2560	valid
5.0ms	70×	body	160	valid