Details

sample36.0ms

Algorithm

intervals

Results

21.0ms

450×

body

valid

simplify30.0ms

Counts: 1 → 1

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

22.0ms	(+ (* x x) (* (* x 2.0) y))
45.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x x) (* (* x 2.0) y))
34.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify571.0ms

Counts: 30 → 30

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:

24.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
27.0ms	(* x (+ (* 2.0 y) x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
60.0ms	(* x (+ (* 2.0 y) x))

simplify539.0ms

Counts: 41 → 41

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* 2.0 y) x))
0.2b	(+ (pow (* 2.0 y) 3) (pow x 3))
2.3b	(* x (+ (pow (* 2.0 y) 3) (pow x 3)))
26.8b	(/ (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (+ (* (* 2.0 y) (* 2.0 y)) (- (* x x) (* (* 2.0 y) x))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

12.0ms	(- (* x x) (* (* 2.0 y) x))
19.0ms	(+ (pow (* 2.0 y) 3) (pow x 3))
60.0ms	(* x (+ (pow (* 2.0 y) 3) (pow x 3)))
93.0ms	(/ (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (+ (* (* 2.0 y) (* 2.0 y)) (- (* x x) (* (* 2.0 y) x))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x x) (* (* 2.0 y) x))
79.0ms	(+ (pow (* 2.0 y) 3) (pow x 3))
92.0ms	(* x (+ (pow (* 2.0 y) 3) (pow x 3)))
171.0ms	(/ (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (+ (* (* 2.0 y) (* 2.0 y)) (- (* x x) (* (* 2.0 y) x))))

simplify1.4s

Counts: 87 → 87

prune326.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (* 2.0 y) x)) (* y y))
0.0b	(* x (+ (* 2.0 y) x))
0.2b	(pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3)
37.1b	(cbrt (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `cbrt-div` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

27.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
40.0ms	(* x (+ (* 2.0 y) x))
22.0ms	(pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3)
28.0ms	(cbrt (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3))

series276.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x (+ (* 2.0 y) x)) (* y y))
53.0ms	(* x (+ (* 2.0 y) x))
160.0ms	(pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3)
29.0ms	(cbrt (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3))

simplify919.0ms

Counts: 95 → 95

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify37.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

855.0ms

14225×

body

valid