Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

458×

body

valid

simplify80.0ms

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))

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))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify518.0ms

Counts: 43 → 43

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.1b	(* (sqrt (+ x y)) (pow (sqrt (+ x y)) 3))
0.4b	(pow (sqrt (+ x y)) 3)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`sqrt-prod`
32×	`*-un-lft-identity`
20×	`associate-r`
18×	`add-cube-cbrt` `unpow-prod-down` `sqrt-div` `cube-prod`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow1` `flip3-+` `flip-+`
8×	`cube-div`
7×	`associate-l` `add-cbrt-cube` `distribute-lft-out`
4×	`frac-times` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 128

Calls

4 calls:

11.0ms	(sqrt (+ x y))
11.0ms	(sqrt (+ x y))
98.0ms	(* (sqrt (+ x y)) (pow (sqrt (+ x y)) 3))
14.0ms	(pow (sqrt (+ x y)) 3)

series219.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ x y))
50.0ms	(sqrt (+ x y))
45.0ms	(* (sqrt (+ x y)) (pow (sqrt (+ x y)) 3))
72.0ms	(pow (sqrt (+ x y)) 3)

simplify818.0ms

Counts: 140 → 140

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:

15.0ms	(+ (pow y 2) (* 2 (* x y)))
46.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
23.0ms	(* 2 (* x y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (pow y 2) (* 2 (* x y)))
27.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
24.0ms	(* 2 (* x y))

simplify554.0ms

Counts: 52 → 52

prune119.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

-2% (0.0b remaining)

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

bsearch0.0ms

simplify903.0ms

end0.0ms

sample865.0ms

Algorithm

intervals

Results

344.0ms

14432×

body

valid