Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

450×

body

valid

simplify111.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

51.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify435.0ms

Counts: 43 → 43

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 65

Calls

3 calls:

21.0ms	(* y (+ x y))
15.0ms	(+ (* x (+ y x)) (* y (+ x y)))
21.0ms	(* x (+ y x))

series83.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* y (+ x y))
24.0ms	(+ (* x (+ y x)) (* y (+ x y)))
31.0ms	(* x (+ y x))

simplify875.0ms

Counts: 74 → 74

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 43

Calls

3 calls:

28.0ms	(* 2 (* x y))
21.0ms	(+ (pow y 2) (* 2 (* x y)))
56.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 2 (* x y))
54.0ms	(+ (pow y 2) (* 2 (* x y)))
35.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))

simplify629.0ms

Counts: 52 → 52

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x)))) (* y (+ x y)))
0.2b	(+ (pow y 3) (pow x 3))
2.3b	(* x (+ (pow y 3) (pow x 3)))
26.8b	(/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x))))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `distribute-lft-out`
9×	`associate-r`
8×	`add-cube-cbrt` `unpow-prod-down` `cube-prod` `add-log-exp`
6×	`pow1` `flip3-+` `associate-*r/` `flip-+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `div-exp` `frac-add` `prod-exp` `sum-log` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

190.0ms	(+ (/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x)))) (* y (+ x y)))
21.0ms	(+ (pow y 3) (pow x 3))
74.0ms	(* x (+ (pow y 3) (pow x 3)))
73.0ms	(/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x)))) (* y (+ x y)))
69.0ms	(+ (pow y 3) (pow x 3))
62.0ms	(* x (+ (pow y 3) (pow x 3)))
132.0ms	(/ (* x (+ (pow y 3) (pow x 3))) (+ (* y y) (- (* x x) (* y x))))

simplify1.2s

Counts: 97 → 97

prune276.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

-3.1% (0.0b remaining)

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

bsearch0.0ms

simplify838.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

394.0ms

14225×

body

valid