Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	238×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid

simplify562.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

145.0ms	(+ (+ (+ x y) y) x)
36.0ms	(+ (+ x y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ (+ x y) y) x)
38.0ms	(+ (+ x y) y)

simplify820.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	696
1	153
0	55

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite723.0ms

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:

82.0ms	(cbrt (+ (+ (+ x y) y) x))
57.0ms	(cbrt (+ (+ (+ x y) y) x))
64.0ms	(cbrt (+ (+ (+ x y) y) x))
514.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

341.0ms	(cbrt (+ (+ (+ x y) y) x))
398.0ms	(cbrt (+ (+ (+ x y) y) x))
348.0ms	(cbrt (+ (+ (+ x y) y) x))
406.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))

simplify1.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1272
1	329
0	139

prune754.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

232×	`*-un-lft-identity`
132×	`distribute-lft-out`
116×	`cbrt-prod`
42×	`swap-sqr`
38×	`add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt`
18×	`pow1` `associate-r` `associate-l`
14×	`flip3-+` `pow1/3` `flip-+`
8×	`frac-times` `add-exp-log` `unswap-sqr`
4×	`add-cbrt-cube` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 170

Calls

4 calls:

90.0ms	(cbrt (+ (+ (+ x y) y) x))
67.0ms	(cbrt (+ (+ (+ x y) y) x))
503.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
683.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt (+ (+ (+ x y) y) x))
312.0ms	(cbrt (+ (+ (+ x y) y) x))
357.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
380.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))

simplify1.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	1272
1	329
0	139

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample863.0ms

Algorithm

intervals

Results

342.0ms	7425×	body	80	valid
58.0ms	171×	body	1280	valid
46.0ms	108×	body	320	valid
32.0ms	74×	body	160	valid
27.0ms	195×	body	640	valid
7.0ms	34×	body	2560	valid