Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

422×

body

valid

simplify90.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	25	7
3	53	7
4	72	7
5	88	7
6	97	7
7	103	7
done	103	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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:

55.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify2.5s

Counts

43 → 43

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	62	516
1	187	453
2	742	407
3	3329	376
done	5000	373

prune64.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

31.0ms	(* (+ x y) y)
25.0ms	(* (+ x y) x)
28.0ms	(+ (* (+ x y) x) (* (+ x y) y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (+ x y) y)
37.0ms	(* (+ x y) x)
32.0ms	(+ (* (+ x y) x) (* (+ x y) y))

simplify3.2s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	106	827
1	293	718
2	1100	636
3	4974	610
done	5001	610

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

20.0ms	(* y (+ y (* 2 x)))
17.0ms	(+ (* y (+ y (* 2 x))) (* x x))

series84.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* y (+ y (* 2 x)))
29.0ms	(+ (* y (+ y (* 2 x))) (* x x))

simplify2.7s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	71	527
1	219	489
2	754	445
3	3394	437
done	5000	437

prune103.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ y (* 2 x)))
0.2b	(* (* y (+ y (* 2 x))) (* y (+ y (* 2 x))))
2.4b	(- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4))
33.9b	(/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
29×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`times-frac` `pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*r/`
15×	`difference-of-squares`
9×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`associate-/l*` `add-log-exp`
5×	`unpow-prod-down` `sqr-pow`
4×	`frac-times` `associate-r` `associate-l` `associate--l+` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow-plus` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

28.0ms	(* y (+ y (* 2 x)))
77.0ms	(* (* y (+ y (* 2 x))) (* y (+ y (* 2 x))))
81.0ms	(- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4))
225.0ms	(/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* y (+ y (* 2 x)))
31.0ms	(* (* y (+ y (* 2 x))) (* y (+ y (* 2 x))))
95.0ms	(- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4))
96.0ms	(/ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (pow x 4)) (- (* y (+ y (* 2 x))) (* x x)))

simplify1.5s

Counts

143 → 143

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	209	3914
1	601	3579
2	2410	3269
done	5001	2908

prune434.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	10	11
done	10	11

end0.0ms

sample810.0ms

Algorithm

intervals

Results

349.0ms

14320×

body

valid