Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	234×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.4s

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

51.0ms

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

series406.0ms

Counts

1 → 3

Calls

1 calls:

406.0ms

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

simplify512.0ms

Counts: 22 → 22

prune87.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

23.0ms	(+ (* 2 (+ x y)) x)
107.0ms	(+ (+ (* 2 (+ x y)) x) z)

series79.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* 2 (+ x y)) x)
33.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify1.3s

Counts: 33 → 33

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

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:

162.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
20.0ms	(cbrt (+ (* 2 (+ x y)) x))
13.0ms	(cbrt (+ (* 2 (+ x y)) x))
13.0ms	(cbrt (+ (* 2 (+ x y)) x))

series1.2s

Counts

4 → 12

Calls

4 calls:

368.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
297.0ms	(cbrt (+ (* 2 (+ x y)) x))
265.0ms	(cbrt (+ (* 2 (+ x y)) x))
304.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify606.0ms

Counts: 99 → 99

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

12.0ms	(cbrt (+ (* 2 (+ x y)) x))
16.0ms	(cbrt (+ (* 2 (+ x y)) x))
39.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
19.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt (+ (* 2 (+ x y)) x))
324.0ms	(cbrt (+ (* 2 (+ x y)) x))
465.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x))))
414.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify1.3s

Counts: 71 → 71

prune464.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0s

end0.0ms

sample839.0ms

Algorithm

intervals

Results

404.0ms	7435×	body	80	valid
29.0ms	179×	body	1280	valid
23.0ms	177×	body	640	valid
13.0ms	124×	body	320	valid
7.0ms	31×	body	2560	valid
5.0ms	65×	body	160	valid