Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

452×

body

valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	24	7
3	40	7
4	63	7
5	79	7
6	86	7
7	88	7
done	88	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

18.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify3.8s

Counts

43 → 43

Iterations

Useful iterations: 3 (438.0ms)

Iter	Nodes	Cost
0	62	516
1	187	453
2	848	407
3	4763	361
done	5000	361

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

9.0ms	(* x (+ x y))
9.0ms	(* y (+ x y))
6.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* x (+ x y))
26.0ms	(* y (+ x y))
22.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify697.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	111	883
1	355	750
2	1706	680
done	5001	680

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

14.0ms	(+ (* x (+ (+ x y) y)) (* y y))
13.0ms	(+ (+ x y) y)
39.0ms	(* x (+ (+ x y) y))

series87.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x (+ (+ x y) y)) (* y y))
24.0ms	(+ (+ x y) y)
41.0ms	(* x (+ (+ x y) y))

simplify466.0ms

Counts

61 → 61

Iterations

Useful iterations: done (464.0ms)

Iter	Nodes	Cost
0	87	674
1	252	637
2	1031	519
done	5000	509

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1 (* x (+ x (* 2 y)))) (* y y))
0.0b	(* x (+ x (* 2 y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(+ (* 1 (* x (+ x (* 2 y)))) (* y y))
7.0ms	(* x (+ x (* 2 y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* 1 (* x (+ x (* 2 y)))) (* y y))
41.0ms	(* x (+ x (* 2 y)))

simplify602.0ms

Counts

43 → 43

Iterations

Useful iterations: done (601.0ms)

Iter	Nodes	Cost
0	81	589
1	255	513
2	1122	459
done	5000	451

prune78.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample430.0ms

Algorithm

intervals

Results

211.0ms

14328×

body

valid