Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

365×

body

valid

simplify6.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* x y))
0.0b	(* 2.0 (- (* x x) (* x y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

12.0ms	(- (* x x) (* x y))
40.0ms	(* 2.0 (- (* x x) (* x y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* x x) (* x y))
69.0ms	(* 2.0 (- (* x x) (* x y)))

simplify66.0ms

Counts: 44 → 44

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

50.0ms

(* (* 2.0 x) (- x y))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (* 2.0 x) (- x y))

simplify89.0ms

Counts: 29 → 29

prune41.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
0.3b	(* (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))))
8.2b	(sqrt (- (* x x) (* x y)))
8.2b	(sqrt (- (* x x) (* x y)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
38×	`pow-prod-down`
20×	`add-sqr-sqrt` `sqrt-pow1` `pow1/2`
19×	`sqrt-prod`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`associate-*r/`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-r` `pow-prod-up`
7×	`associate-l`
6×	`sqrt-unprod` `pow-sqr`
4×	`frac-times` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-out--`
2×	`rem-sqrt-square` `pow-plus` `associate-l/` `-commutative`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 117

Calls

4 calls:

54.0ms	(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
130.0ms	(* (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))))
14.0ms	(sqrt (- (* x x) (* x y)))
10.0ms	(sqrt (- (* x x) (* x y)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (sqrt 2.0) (sqrt (- (* x x) (* x y))))
153.0ms	(* (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))))
83.0ms	(sqrt (- (* x x) (* x y)))
66.0ms	(sqrt (- (* x x) (* x y)))

simplify56.0ms

Counts: 129 → 129

prune369.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

777.0ms

11227×

body

valid