Details

sample43.0ms

Algorithm

intervals

Results

18.0ms	235×	body	80	valid
2.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify516.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	245
6	245
5	244
4	234
3	143
2	53
1	20
0	8

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

952.0ms	(+ z (+ (+ (+ x y) (+ x y)) x))
442.0ms	(+ (+ (+ x y) (+ x y)) x)

series340.0ms

Counts

2 → 6

Calls

2 calls:

220.0ms	(+ z (+ (+ (+ x y) (+ x y)) x))
119.0ms	(+ (+ (+ x y) (+ x y)) x)

simplify12.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	4782
2	733
1	188
0	70

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

1.1s	(+ (+ z (+ (+ x y) (+ x y))) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(+ (+ z (+ (+ x y) (+ x y))) x)

simplify7.7s

Counts

26 → 26

Iterations

Iter	Nodes
done	5010
3	3397
2	488
1	131
0	53

prune464.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

93.0ms	(+ (+ (* x 3) z) (+ y y))
21.0ms	(+ (* x 3) z)

series432.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (+ (* x 3) z) (+ y y))
373.0ms	(+ (* x 3) z)

simplify11.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	5006
3	4839
2	1008
1	254
0	81

prune319.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

331×	`*-un-lft-identity`
221×	`distribute-lft-out`
120×	`cbrt-prod`
41×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
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 → 147

Calls

4 calls:

2.4s	(* (cbrt (+ (+ (+ x y) (+ x y)) x)) (cbrt (+ (+ (+ x y) (+ x y)) x)))
218.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))
233.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))
267.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))

series2.1s

Counts

4 → 12

Calls

4 calls:

467.0ms	(* (cbrt (+ (+ (+ x y) (+ x y)) x)) (cbrt (+ (+ (+ x y) (+ x y)) x)))
417.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))
460.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))
791.0ms	(cbrt (+ (+ (+ x y) (+ x y)) x))

simplify5.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
3	3415
2	880
1	327
0	141

prune985.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	7387×	body	80	valid
370.0ms	46×	body	2560	valid
72.0ms	188×	body	1280	valid
40.0ms	184×	body	640	valid
25.0ms	128×	body	320	valid
8.0ms	74×	body	160	valid