Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	236×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify4.3s

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

27.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify588.0ms

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)

rewrite133.0ms

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:

18.0ms	(+ (* 2 (+ x y)) x)
114.0ms	(+ (+ (* 2 (+ x y)) x) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* 2 (+ x y)) x)
35.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify1.4s

Counts: 33 → 33

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 x) (* 2 y))
0.0b	(+ (+ (* 3 x) (* 2 y)) z)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (* 3 x) (* 2 y))
48.0ms	(+ (+ (* 3 x) (* 2 y)) z)

series96.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* 3 x) (* 2 y))
42.0ms	(+ (+ (* 3 x) (* 2 y)) z)

simplify1.3s

Counts: 31 → 31

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 x) (* 2 y))) (cbrt (+ (* 3 x) (* 2 y))))
0.6b	(cbrt (+ (* 3 x) (* 2 y)))
0.6b	(cbrt (+ (* 3 x) (* 2 y)))
0.6b	(cbrt (+ (* 3 x) (* 2 y)))

rewrite105.0ms

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:

69.0ms	(* (cbrt (+ (* 3 x) (* 2 y))) (cbrt (+ (* 3 x) (* 2 y))))
10.0ms	(cbrt (+ (* 3 x) (* 2 y)))
10.0ms	(cbrt (+ (* 3 x) (* 2 y)))
10.0ms	(cbrt (+ (* 3 x) (* 2 y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

385.0ms	(* (cbrt (+ (* 3 x) (* 2 y))) (cbrt (+ (* 3 x) (* 2 y))))
319.0ms	(cbrt (+ (* 3 x) (* 2 y)))
330.0ms	(cbrt (+ (* 3 x) (* 2 y)))
380.0ms	(cbrt (+ (* 3 x) (* 2 y)))

simplify686.0ms

Counts: 99 → 99

prune423.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.6s

end0.0ms

sample892.0ms

Algorithm

intervals

Results

423.0ms	7404×	body	80	valid
64.0ms	197×	body	1280	valid
28.0ms	183×	body	640	valid
14.0ms	121×	body	320	valid
10.0ms	41×	body	2560	valid
5.0ms	63×	body	160	valid