Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

472×

body

valid

simplify5.0ms

Counts: 1 → 1

prune1.0ms

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))

rewrite42.0ms

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:

41.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify25.0ms

Counts: 43 → 43

prune53.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* x (+ (* y 2) x)) (pow y 2))
29.0ms	(* x (+ (* y 2) x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x (+ (* y 2) x)) (pow y 2))
38.0ms	(* x (+ (* y 2) x))

simplify86.0ms

Counts: 41 → 41

prune84.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

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` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

16.0ms	(+ (* x (+ x y)) (* y (+ x y)))
21.0ms	(* x (+ x y))
25.0ms	(* y (+ x y))

series99.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x (+ x y)) (* y (+ x y)))
35.0ms	(* x (+ x y))
32.0ms	(* y (+ x y))

simplify47.0ms

Counts: 75 → 75

prune184.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

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:

59.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
21.0ms	(+ (pow y 2) (* 2 (* x y)))
25.0ms	(* 2 (* x y))

series118.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
56.0ms	(+ (pow y 2) (* 2 (* x y)))
29.0ms	(* 2 (* x y))

simplify133.0ms

Counts: 52 → 52

prune157.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

0.5% (0.0b remaining)

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

bsearch0.0ms

simplify193.0ms

end0.0ms

sample914.0ms

Algorithm

intervals

Results

346.0ms

14235×

body

valid