Details

sample42.0ms

Algorithm

intervals

Results

19.0ms	246×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	320	valid

simplify11.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite2.8s

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:

2.6s	(+ (+ (+ (+ (+ x y) y) x) z) x)
41.0ms	(+ (+ x y) y)
192.0ms	(+ (+ (+ x y) y) x)

series110.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
31.0ms	(+ (+ x y) y)
50.0ms	(+ (+ (+ x y) y) x)

simplify25.0ms

Counts: 62 → 62

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

24.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify42.0ms

Counts: 16 → 16

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

144.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
19.0ms	(cbrt (+ (* 2 (+ x y)) x))
13.0ms	(cbrt (+ (* 2 (+ x y)) x))
17.0ms	(cbrt (+ (* 2 (+ x y)) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
278.0ms	(cbrt (+ (* 2 (+ x y)) x))
335.0ms	(cbrt (+ (* 2 (+ x y)) x))
274.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify85.0ms

Counts: 99 → 99

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

20.0ms	(cbrt (+ (* 2 (+ x y)) x))
19.0ms	(cbrt (+ (* 2 (+ x y)) x))
27.0ms	(cbrt (+ (* 2 (+ x y)) x))
20.0ms	(cbrt (+ (* 2 (+ x y)) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt (+ (* 2 (+ x y)) x))
292.0ms	(cbrt (+ (* 2 (+ x y)) x))
290.0ms	(cbrt (+ (* 2 (+ x y)) x))
284.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify42.0ms

Counts: 64 → 64

prune428.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify145.0ms

end0.0ms

sample807.0ms

Algorithm

intervals

Results

295.0ms	7404×	body	80	valid
85.0ms	191×	body	1280	valid
45.0ms	131×	body	320	valid
38.0ms	66×	body	160	valid
25.0ms	187×	body	640	valid
6.0ms	37×	body	2560	valid